Word Problem

Problem 2301

The sum of 5 consecutive odd numbers is 145.
What is the third number in this sequence? $\square$

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Problem 2302

Papa John's currently offers 16 different pizza toppings. Calculate how many different three-topping pizzas could you create with 16 unique toppings showing your work on the answer sheet.

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Problem 2303

Asset A , which has an expected return of $12 \%$ and a beta of 0.8 , plots on the security market line. Which of the following is false about Asset B , another risky asset with a beta of 1.4 ?
Multiple Choice If Asset B plots on the SML with an expected return $=18 \%$ , the expected return on the market must be $15 \%$ . Asset B has more systematic risk than both Asset A and the market porffolio. If the market is in equilibrium, Asset $B$ also plots on the SML. If Asset B plots on the SML with an expected return $=18 \%$ , then the risk-free rate must be $4 \%$ . If Asset B plots on the SML, then Asset B and Asset $A$ have the same reward to risk ratio.

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Problem 2304

Determine whether the random variable $X$ has a binomial distribution. If it does, state the number of trials $n$ . If it does not, explain why not. Twelve students are randomly chosen from an English class of 150 students. Let $X$ be the average number of classes that the students are taking.
Part: $0 / 2$
Part 1 of 2
The random variable (Choose one) 7 a binomial distribution. has does not have

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Problem 2305

3. The senior classes at Basha High School and Perry High School planned separate trips to New York City. The senior class at Basha rented and filled 5 vans and 14 buses with 387 students. Perry rented and filled 14 vans and 7 buses with 343 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus. If af sudents ib the ven $=\mathrm{V}$ a) Define your variablest of Studonts in the bus $=B$ b) Set up the system of equations that represents the situation c) Solve the system by any method of your choice d) Answer in a complete sentence $5 v+14 b=387$ $14 v+7 b=343$ $19 v+216=430$

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Problem 2306

6. Le mécanisme d'un lance-balles a été réglé pour que les balles suivent toujours la même trajectoire. Une première balle est lancée avec le lance-balles posé sur le sol. Une deuxième balle est lancée, mais, cette fois, le lance-balles est à 2 m du sol. Dans le plan cartésien ci-dessous, gradué en mètres, la portion de la parabole freprésente la trajectoire de la première balle et la portion de parabole $g$ , la trajectoire de la deuxième balle.
La règle de la fonction $f$ est la suivante : $f(x)=-0,12(x-10)^{2}+12$
Quelle est la distance entre les deux endroits où tombent les balles? zéro porabole $f$ $=-0.12(x-10)^{2}+12$ $(0,2)$ $-12$ $-12$

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Problem 2307

What would you pay for a share of MajorSoft Corporation stock today if the next dividend is expected to be $\$ 5.56$ per share, your required return on the stock is $14.50 \%$ , and the stock is expected to be worth $\$ 213.20$ one year from now? 6:41
Multiple Choice $\$ 191.06$ $\$ 204.39$ \ $194.85$ \ $184.33$ \$186.20

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Problem 2308

XYZ Corporation's next dividend is expected to be $\$ 3$ per share. Dividend growth rate has been at $2 \%$ and expected to be so into the future. If investor's return is $10 \%$ , calculate the stock price last year.
Multiple Choice $\$ 35.86$ $\$ 36.76$ $\$ 36.16$ $\$ 36.46$ 37.07

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Problem 2309

8 In which of the following molecules does the central atom have an expanded valence shell? a. $\mathrm{N}_{2} \mathrm{O}$ b. $\mathrm{PCl}_{5}$ c. $\mathrm{BeF}_{2}$ d. $\mathrm{AsF}_{3}$ e. $\mathrm{H}_{2} \mathrm{O}$
Select one: a

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Problem 2310

A student was asked to find a 98\% confidence interval for widget width using data from a random sample of size $n=16$ . Which of the following is a correct interpretation of the interval $12.9<\mu<$ 29.5?
Check all that are correct. There is a 98\% chance that the mean of a sample of 16 widgets will be between 12.9 and 29.5 . The mean width of all widgets is between 12.9 and $29.5,98 \%$ of the time. We know this is true because the mean of our sample is between 12.9 and 29.5. With $98 \%$ confidence, the mean width of all widgets is between 12.9 and 29.5. With $98 \%$ confidence, the mean width of a randomly selected widget will be between 12.9 and 29.5. There is a 98\% chance that the mean of the population is between 12.9 and 29.5.

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Problem 2311

Which of the following would result in the widest confidence interval? A sample size of 100 with $95 \%$ confidence A sample size of 100 with $99 \%$ confidence. A sample size of 30 with $95 \%$ confidence. A sample size of 30 with $99 \%$ confidence.

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Problem 2312

A ball of mass 0.6 kg , initially at rest, is kicked directly toward a fence from a point 20 m away, as shown below.
The velocity of the ball as it leaves the kicker's foot is $16 \mathrm{~m} / \mathrm{s}$ at angle of $51^{\circ}$ above the horizontal. The top of the fence is 4 m high. The ball hits nothing while in flight and air resistance is negligible.
The acceleration due to gravity is $9.8 \mathrm{~m} / \mathrm{s}^{2}$ .
Determine the time it takes for the ball to reach the plane of the fence.
Answer in units of s.

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Problem 2313

9. Rafa serves again! Tennis superstar Rafael Nadal's first-serve speeds in a recent season can be modeled by a normal distribution with mean 115 mph and standard deviation 6 mph . Use the empirical rule to approximate the following: (a) The proportion of Rafa's first serves that were faster than 121 mph (b) The percent of Rafa's first serves with speeds between 109 and 133 mph
10. Cholesterol modeled Cholesterol levels for teenage boys can be modeled by a normal distribution with mean $150 \mathrm{mg} / \mathrm{dl}$ and standard deviation

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Problem 2314

Determine the chemical symbols for the neutral elements corresponding to the electronic configurations. Use proper formatting; letter case matters. $1 s^{2} 2 s^{2} 2 p^{3}:$ Incorrect Answer $1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{2} 3 d^{10} 4 p^{6}:$ $\square$ Incorrect Answer $1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6}:$ $\square$ Incorrect Answer $1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{3}:$ $\square$ Incorrect Answer

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Problem 2315

(1 point) Match each of the following with the correct statement. A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D. The series diverges.
1. $\sum_{n=1}^{\infty} \frac{(n+2)!}{n!5^{n}}$ $\qquad$ 2. $\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{4 n+4}$ $\qquad$ 3. $\sum_{n=1}^{\infty}(-1)^{n+1} \frac{(2+n) 4^{n}}{\left(n^{2}\right) 3^{2 n}}$ $\qquad$ 4. $\sum_{n=1}^{\infty} \frac{\sin (2 n)}{n^{4}}$ $\qquad$ 5. $\sum_{n=1}^{\infty} \frac{(-4)^{n}}{n^{4}}$

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Problem 2316

Margaret uses $1 \frac{3}{4}$ teaspoons of key lime zest to make 12 key lime cupcakes. She wants to make 30 cupcakes. How much key lime zest will Margaret use?

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Problem 2317

TIME RENAINING 54:50
Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangle is 30 meters and the reduced length is 9 meters.
Not drawn to scale What is the width of the original rectangle? 20 meters 24 meters 36 meters 48 meters Mark this and return Save and Exit

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Problem 2318

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately $\sigma=48.5$ . You would like to be $99 \%$ confident that your esimate is within 2 of the true population mean. How large of a sample size is required? $n=$ $\square$
Do not round mid-calculation. However, use a critical value accurate to three decimal places - this is important for the system to be able to give hints for incorrect answers.

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Problem 2319

TIME REMAINING 53:01
Jorge wants to determine the enlarged dimensions of a digital photo to be used as wallpaper on his computer screen. The original photo was 800 pixels wide by 600 pixels high. The new photo will be 1,260 pixels wide. What will the new height be? 460 pixels 945 pixels 1,680 pixels 1,860 pixels

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Problem 2320

Use the fundamental counting principle. Gina must write evaluation reports on 2 hospitals and 4 health clinics as part of her degree program in community health services. If there are 9 hospitals and 10 clinics in her vicinity, in how many ways can she complete her assignment?
There are 7,560 ways for her to complete the assignment. (Simplify your answer. Type a whole number.)

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Problem 2321

Marnie solved the proportion $\frac{150}{170}=\frac{x}{510}$ to find the value of $x$ in the enlarged parallelogram.
Not drawn to scale
What is the value of $x$ ? $x=255$ $x=300$ $x=340$ $x=450$

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Problem 2322

MAIN COURSE
5. The following clients have opened loan accounts with Wachovia. Use the simple interest formula $I=p r r$ to calculate the principal, rate, time, or interest earned by each client. Calculate the interest to the nearest cent, and write your answers in the chart below. \begin{tabular}{|c|c|c|c|c|} \hline Client Name & Principal & Rate & Time & Interest Earned \\ \hline Jack Jones & $\$ 2,455$ & $3 \%$ & & $\$ 441.90$ \\ \hline Oscar Owens & & $4.25 \%$ & 3 years & $\$ 663$ \\ \hline Paula Prince & $\$ 18,500$ & & 42 months & $\$ 1,942.50$ \\ \hline \end{tabular}
6. Malik deposited $\$ 1,050$ in a savings account, and it earned $\$ 241.50$ in simple interest after four years. Find the interest rate on Malik's savings account.
7. Mr. Brown has $\$ 410,000$ in a retirement account that earns $3.85 \%$ interest each year. How many years was the money invested if it earned $\$ 47,355$ in interest?
8. When Melissa was born, her parents put money into a college fund account that earned $9 \%$ simple interest. After 18 years the account had earned $\$ 3240$ in interest. How much was the initial investment (principle)?

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Problem 2323

Question 8 Extra Credit 0/3 pts 3 19 Details
A movie theater has a seating capacity of 359 . The theater charges $\$ 5.00$ for children, $\$ 7.00$ for students, and $\$ 12.00$ of adults. There are half as many adults as there are children. If the total ticket sales was \ $2604, How many children, students, and adults attended?$ \square $children attended.$ \square $students attended.$ \square$ adults attended. Question Help: Video Submit Question

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Problem 2324

9. Directions
Drag and drop the correct answer choice to each answer blank.
Formulate a linear and quadratic system of equations based on the following information: - The sum of two numbers is 13 . - The square of the smaller number minus the larger number equals 7 . - Let $x$ represent the smaller number.
Move the correct answer to each box. Not all answers will be used.

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Problem 2325

1
Maria studied the traffic trends in India. She found that the number of cars on the road increases by $10 \%$ each year. If there were 80 million cars in year 1 of her study, how many more cars were on the road in year 3 compared to year 2 ? $8,000,000$ 8,800,000 88,000,000 96,800,000 Save and Exit Next Submit Mark this and return

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Problem 2326

Let $Q(1,2,3)$ be a point in $\mathbb{R}^{3}, P_{1}: x-y+z=-1$ be a plane in $\mathbb{R}^{3}$ . (a) Find the parametric equations of the plane $P_{1}$ . (b) Find the general equation of the plane $P_{2}$ through $Q$ that is parallel to $P_{1}$ (c) Find the distance between the planes $P_{1}$ and $P_{2}$ .

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Problem 2327

$\text{Given a right triangle with a 60° angle and a hypotenuse of length 7, find the missing sides.}$

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Problem 2328

6. Malik deposited \ $1,050 in a savings account, and it earned$ \ $241.50$ in simple interest after four years. Find the interest rate on Malik's savings account. $r=$ $\qquad$ rocount: 24.50 many $\qquad$ $\frac{47.255}{75785}=$ 3 years $\qquad$ $t=$ t $\qquad$ investment (principle)? $\qquad$ $\frac{3.240}{0.09 \times 78}$ P 3, 240 1.62 $=\$ 2,000$
DESSERT
9. Robert won $\$ 900,000$ in the North Carolina State Lottery. After paying $\$ 350,000$ in taxes, he invested the remaining money in a savings account with a $4.25 \%$ interest rate. How much money is in the account if Robert makes no deposits or withdrawals for two years? $I=4.75 .75 \mathrm{~g}$
10. Consuelo deposited an amount of money in a savings account that earned 6 After 20 years, she had earned $\$ 5,922$ in interest. What was her initial deposit? $5920=P \times 0.063 \times 20=0.063 \times 20$ $P=4,7$
11. A deposit of $\$ 2,500$ grew to $\$ 3,325$ after 6 years. What is the final value of a deposit of $\$ 7,500$ at the same interest rate for the same period of time?
12. Maria borrows $\$ 35,000$ at $6.5 \%$ simple interest per year. When Lisa pays the loan back 8 years later, what is the total amount that Lisa ends up repaying?

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Problem 2329

11. A deposit of $\$ 2,500$ grew to $\$ 3,325$ after 6 years. What is the final value of a deposit of $\$ 7,500$ at the same interest rate for the same period of time?
12. Maria borrows $\$ 35,000$ at $6.5 \%$ simple interest per year. When Lisa pays the loan back 8 years later, what is the total amount that Lisa ends up repaying?

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Problem 2330

\text{Every person has one of eight blood types, determined by molecules on the surface of their red blood cells. Individuals can only receive specific blood types, usually the one that matches their own. Use the circle graph showing the percentage of individuals with each blood type to answer the following.} \\
\text{How much greater is the probability of not selecting an individual with blood type B-negative than not selecting an individual with blood type B-positive?} \\ \text{\$\square\$ (Simplify your answer.)} \\
\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.} \\
\text{Dialogue Transcript:} \\
\text{It seems that there's a circle graph mentioned in the problem, which should display the percentage of individuals with each blood type. However, since I can't see the graph or know the percentages, I can't calculate the probability differences directly. Could you please provide those specific percentages for B-positive and B-negative blood types? Once you provide those details, I'll be able to help you solve the problem!} \\
\text{Thanks for sharing the information, but I still need the percentages specifically for blood type B-positive and B-negative from the graph. Could you provide these details so I can help you find the probability difference?} \\
\text{Based on the extracted text and the dialogue transcript, please rewrite the math problem that the Assistant is helping the user to solve. Rewrite it in LaTeX. Do not omit any portion of the original problem. When you have finished writing the problem, type the special keyword:}

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Problem 2331

The Candle Company is having its semiannual sale. All items are 40 percent off. If the original price of a candle basket is $\$ 120$ , what is the sale price? \ $36 \$48$ \ $72$ \$84

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Problem 2332

Pre-Test
Active
1 2 3 4.
Raymond bought a used truck for $\$ 18,800$ . If the sales tax in his state is 7 percent, what was the final price for his car? \$1,316 \$1,504 \$20,116 \$20,492

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Problem 2333

1 2 3 4 5
A board game that normally costs $\$ 30$ is on sale for 25 percent off. What is the sale price of the game? $\$ 22.50$ \ $27.50$ \ $32.50$ $\$ 37.50$

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Problem 2334

11. A deposit of $\$ 2,500$ grew to $\$ 3,325$ after 6 years. What is the final value of a deposit of $\$ 7,500$ at the same interest rate for the same period of time?

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Problem 2335

4. YES or NO
Classification: $\qquad$
Side lengths: $6,6,20$

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Problem 2336

1 2 3 4 5 6 7 8.
The value of a car decreases by 20 percent per year. Mr. Sing purchases a $\$ 22,000$ automobile. What is the value of the car at the end of the second year? \$14,080 \$17,600 \$19,800 \$26,400

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Problem 2337

A line that passes through the point $(-2,2)$ has a slope of $\frac{3}{8}$ .
If you use the slope to make another point, the coordinates of the new point are * Make sure point is located in quadrant I. ( type your answer... type your a

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Problem 2338

18 Fill in the Blank 1 point
You start a small business selling used electronics. You make your money by buying damaged goods, repairing them, and then selling them for a profit. You begin the year with 250 dollars at the start of January (January 1). You end the fiscal year with 5,000 dollars at the end of December (December 31).
Let $x$ represent time in months and let y represent US dollars. Hint: Let January be $\mathrm{x}=0$ and December be $\mathrm{x}=12$ . What was your average monthly increase in revenue throughout the year? Round to the nearest CENT (nearest hundreths): $\$$ type your answer...

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Problem 2339

ulze: Module 5 $\equiv 1$ $=2$ 3 4 5 6 7 8 9 0 $C(x)=20.00-0.20 x$
How much credit is lett on the card atter Kation uses it for 50 minutes of cals?

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Problem 2340

Give a formula for the sequence given by $\frac{2}{1}, \frac{4}{2}, \frac{8}{6}, \frac{16}{24}, \ldots$

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Problem 2341

6. The cafeteria ordered 23 boxes of peach yogurt and 57 boxes of raspberry yogurt. Each box contained 6 cups of yogurt. How many cups of yogurt did the cafeteria order?

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Problem 2342

The latest rare disease, Expy, has entered your math classroom of 30. The students affected by the disease is modeled by the logistic function $P(t)=\frac{150}{5+25 e^{-0.45 t}}$ , where $P(t)$ represents the number of students that understand exponential and $t$ is time in days.
Clearly label each answer part. Show your initial set-up and give your final answer. Each step does not need to be shown. A) How many students understand exponential functions initially? ( 6 points) B) How many days juill it take for 10 students to understand exponential functions? ( 6 points, multiple-choice) - f) $t=(\ln 5 / 2) / 0.45$ - g) $t=(\ln 10) / 0.45$ - h) $t=0.45 /(\ln 5 / 2)$ - j) $t=0.45 /(\ln 10)$

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Problem 2343

1 2 3 4 5 6 7 8 9 10 TIME REMAININ
Miguel babysit: 3 for 3 hours and earns $\$ 15$ . Which represents the unit rate? $\$ 1$ per 5 hours \ $15 per hour 1 hour per \$5$ \ $5$ per hour

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Problem 2344

A dining set is priced at $\$ 785$ . If the sales tax is 7 percent, what is the cost to purchase the dining set? Round to the nearest cent if necessary. inepareanire 01:56:54 1 2 3 $a$ 528 5 $\square$ 2 1 18 (a) E $\$ 54.95$ $\$ 79200$ $\$ 839.95$ $\$ 113450$

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Problem 2345

What is the value of $p$ in the proportion below? $\frac{20}{6}=\frac{p}{12}$ 2 10 40 72

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Problem 2346

For the function given below, find a formula for the Riemann sum obtained by dividing the interval $[a, b]$ into $n$ equal subintervals and using the right-hand endpoint for each $c_{k}$ . Then take a limit of this sum as $\mathrm{n} \rightarrow \infty$ to calculate the area under the curve over $[a, b]$ . $f(x)=3 x$ over the interval $[1,5]$ .
Find a formula for the Riemann sum. $S_{n}=36+\frac{24}{n}$
The area under the curve over [1,5] is $\square$ square units. (Simplify your answer.)

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Problem 2347

1 2 3 4 5 6 7 8 9 10 TIME RENAIN
Jeremy wants to give a $20 \%$ gratuity to his cab driver. His fare is $\$ 35.50$ . What is the total amount he will pay the driver? $\$ 7.10$ \ $17.75$ \ $42.60$ \$63.90

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Problem 2348

3. Gunnar's car gets 22.4 miles per gallon, and his gas tank can hold 17.82 gallons of gas. How many miles can Gunnar travel if he uses all of the gas in the gas tank? 602 HIN
4. The principal of East High School wants to buy a new cover for the sand pit used in the long.jump competition . He measured the sand pit and found that the length is 29.2 feet and the width is 9.8 feet. What will the aread the new cover be?

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Problem 2349

Rachel finished a meal at a diner and received a bill for $\$ 10.99$ . She charged the bill along with a 15 percent gratuity to her credit card. What is the total amount she charged to her credit card? Round to the nearest cent if necessary. \$11.14 \$12.64 \$13.19 \$13.73

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Problem 2350

PRACTICE \& PROBLEM SOLVING APPLY
25. Model With Mathematics A glazier is setting supports in parallel segments to prevent glass breakage during storms. What are the values of $x$ and $y$ ? Justify your conclusions. () MP. 4
26. Reason In the parking lot shown, all of the lines for the parking spaces should be parallel. If $m \angle 3=61$ , what should $m \angle 1$ and $m \angle 2$ be? Explain. (c) MP. 2
27. Communicate Precisely Margaret is in a boat traveling due west. She turned the boat $50^{\circ}$ north of due west for a couple of minutes to get around a peninsula. Then she resumed due west again. (-) MP. 6 a. How many degrees would she turn the wheel to resume a due west course? b. What type of angle pair did she use? Are the angles congruent or supplementary?
8. Parallel lines $m$ and $n$ intersect parallel lines $x$ and $y$ , representing two sets of intersecting railroad tracks. If the minimum measure for $\angle 1$ is $101^{\circ}$ and the maximum measure for $\angle 1$ is $106^{\circ}$ , what are the minimum and maximum measures for $\angle 2$ ?
ASSESSMENT PRACTICE
29. Classify each angle as congruent to $\angle 1$ or congruent to $\angle 2$ .
30. SAT/ACT In the diagram, $a \| b$ . What is $m \angle 1$ ? (A) 28 (C) 90 (B) 62 (D) 118
31. Performance Task Students on a scavenger hunt are given the map shown and several clues.
Part A The first clue states the following. Skyline Trail forms a transversal with Wood Path and Mission Path. Go to the corners that form same side exterior angles north of Skyline Trail. Which two corners does the clue mean? Use intersections and directions to explain. Part B If the second clue states the following, what trail marker should they go to? Wood and Mission Paths are parallel, and the northeast corner of Wood Path and Skyline Trail forms a $131^{\circ}$ angle. The measure of the angle formed by the southwest corner of Skyline Trail and Mission Path is equal to the trail marker number on River Trail you must go to.

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Problem 2351

A group of 32 players forms 4 volleyball teams. If there are 96 players, how many teams can be formed? 3 teams 8 teams 12 teams 24 teams

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Problem 2352

14. CCSS Persevere with Problems Order the steps to write a linear equation in slope-intercept form if you know the slope of the line and a point on the line. $\qquad$ Simplify the equation. $\qquad$ Use the Distributive Property to multiply the slope by $x$ and $x_{1}$ . $\qquad$ Substitute the slope $m$ and the coordinates of the point $\left(x_{1}, y_{1}\right)$ into the point-slope formula. $\qquad$ Use the Addition Property of Equality. 226 Chapter 3 Equations in Two Variables

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Problem 2353

On Monday, the Dairy Barn sold 14 waffle cones for every 6 sugar cones. On Tuesday, the Dairy Barn sold 7 waffle cones for every 3 sugar cones. Which proportion can be used to represent the cone sales? $\frac{14}{6}=\frac{3}{7}$ $\frac{14}{6}=\frac{7}{3}$ $\frac{6}{14}=\frac{7}{3}$ $\frac{3}{7}=\frac{14}{6}$

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Problem 2354

What is P-value? Give a formal definition.
Problem 7) State the Central Limit Theorem.

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Problem 2355

Round answers to the hundredths place:
6. Change $\vec{v}$ to the component form of a vector if $\vec{v}$ is 13 units long and has a direction angle of $219^{\circ}$ .

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Problem 2356

A recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe? 8 to 3 $\frac{3}{8}$ 3 to 11 8:3

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Problem 2357

What is the value of $n$ in the proportion below? $\frac{n}{28}=\frac{4}{7}$ 1 12 14 16

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Problem 2358

How many milliliters of a $0.263 \mathrm{MBa}\left(\mathrm{NO}_{3}\right)_{2}$ solution will provide 1.355 grams of barium nitrate? a. $\quad 78.8 \mathrm{~mL}$ b. $\quad 39.4 \mathrm{~mL}$ c. $\quad 9.86 \mathrm{~mL}$ d. $\quad 19.7 \mathrm{~mL}$ e. $\quad 67.4 \mathrm{~mL}$

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Problem 2359

The prime factorization of a number is $3^{2} \times 5^{3} \times 7$ . Which statement is true about the factors of the number?
Twenty-one is a factor of the number because both 3 and 7 are prime factors. Twenty-one is not a factor of the number because 21 is not prime. Ninety is a factor of the number because $3^{2}-8$ and 90 is divisible by 9 . Ninety is not a factor of the number because 90 is not divisible by 7 .

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Problem 2360

Unit 4: page 15 Example 4: Pedro left home at noon and cycled 72 km to his family cottage. His sister, Alexandra, left home on her bike at 1 PM and arrived at the cottage 12 minutes after Pedro. If she cycles, on average, $3 \mathrm{~km} / \mathrm{h}$ fasten than Pedro, how long did it take Pedro to make the trip, and what was his average speed?

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Problem 2361

Q10.
Kiaria is 7 years older than Jay. Martha is twice as old as Kiaria. The sum of their three ages is 77 Find the ratio of Jay's age to Kiaria's age to Martha's age.

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Problem 2362

What is the difference between the largest prime number less than 50 and the smallest composite number greater than 10 ? 35 36 37 38

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Problem 2363

What is the prime factorization of 40 ? $2 \times 5$ $2 \times 20$ $2 \times 2 \times 2 \times 5$ $2 \times 2 \times 4 \times 5$

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Problem 2364

The prime factorization of a number is $2^{3} \times 3^{2} \times 5$ . Which is a true statement about the factors of the number? Fifteen is a factor of the number because both 3 and 5 are prime factors. Fifteen is not a factor of the number because 15 is odd and the number is even. Sixteen is a factor for the number because $2^{3}-8$ and 16 is divisible by 8 . Sixteen is not a factor of the number because the exponent of 2 is not even.

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Problem 2365

Which number is a factor of 100 ? 8 12 15 20

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Problem 2366

Which list shows all the factors of 36 ?
$1,2,3,4,6,9,12,18,36$
$1,2,3,4,8,9,12,18,36$ 2, 3, 4, 6, 9, 12, 18 $2,4,6,8,9,12,18$

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Problem 2367

Which pair of numbers is relatively prime? 7 and 21 4 and 15 6 and 9 9 and 27

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Problem 2368

What is the greatest common factor of 9 and $12 ?$ 3 9 36 108

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Problem 2369

The prime factorizations of 16 and 24 are shown below. Prime factorization of $16: 2,2,2,2$ Prime factorization of $24: 2,2,2,3$
Using the prime factorizations, what is the greatest common factor of 16 and 24? 2 $2 \cdot 2$ 2:2:2 $2 \cdot 2 \cdot 2 \cdot 3$

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Problem 2370

One cup (250. mL) of coffee contains 125 mg of caffeine. One cup of tea has 0.100 g of caffeine. A can of Diet Coke ( 355 mL ) contains $50 . \mathrm{mg}$ of caffeine, and a can of Surge $(355 \mathrm{~mL})$ contains about 65 mg of caffeine. Caffeine is $\mathrm{C}_{8} \mathrm{H}_{10} \mathrm{~N}_{4} \mathrm{O}_{2}$ . a. Which drink has the most caffeine per milliliter? Show how you arrived at your conclusion. (3 points) b. Calculate the molarity of caffeine in the drink you chose in part a. (5 points)

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Problem 2371

Craig is training for a race. He bikes every 2 days and swims every 3 days. If he biked and swam today, how many days will pass before he bikes and swims on the same day again, the least common multiple of the numbers of days?
Multiples of $2: 2,4,6,8,10,12, \ldots$ Multiples of $3: 3,6,9,12,15,18, \ldots$ 2 days 3 days 6 days 12 days

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Problem 2372

Factors ant muntupics Pre-Test
Active
1 2 3 4 5 6 1. \$5 4 16
Which only lists multiples of 16 ? $1,2,4,8,16$ $16,24,32,40$ $16,32,48,64$ 1, $2,4,8,12,16$

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Problem 2373

Micah found the least common multiple of 8 and 12. His work is shown below. Multiples of $8: 8,12,16,20,24,28, \ldots .$ . Multiples of $12: 12,24,36,48,60, \ldots$ . The least common multiple is 12 . What is Micah's error?
Micah listed some values that were not multiples. Micah listed factors of each number instead of multiples. Micah should have multiplied 8 and 12 to find the least common multiple. Micah selected a multiple that is not the least of the common multiples.

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Problem 2374

19. Nathan works at a hardware store. Today he sold 48 tools. $\frac{5}{6}$ of the tools he sold were hammers. How many hammers did Nathan sell today? $\qquad$

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Problem 2375

The power $9^{2}$ is equivalent to 81 . What is the value of $9^{-2}$ ? $-81$ -9 $\frac{1}{81}$ $\frac{1}{9}$

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Problem 2376

Percents Converting a fraction to a percentage: Denominator of 4, 5, or 10
Write $\frac{6}{10}$ as a percentage. $\square$ \%

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Problem 2377

What is the value of $\left(-\frac{3}{4}\right)^{-4}$ ? $-\frac{256}{81}$ $-\frac{81}{256}$ $\frac{81}{256}$ $\frac{256}{81}$

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Problem 2378

The duration of a professor's class has continuous uniform distribution between 49.2 minutes and 55.5 minutes. If one class is randomly selected and the probability that the duration of the class is longer than a certain number of minutes is 0.361 , then find the duration of the randomly selected class, i.e., if $P(x>c)=0.361$ , then find $c$ , where $c$ is the duration of the randomly selected class. Round your answer to one decimal places. $c=$ $\square$ minutes

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Problem 2379

Question 19, 5.3.95 Points: 0 of 1
Use the compound interest formula to determine the final value of the given amount. $\$ 250$ at 5\% compounded daily for 20 years
The final value is $\$ 663.3244263$ . (Round to the nearest cent as needed.)

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Problem 2380

Determine whether the function is one-to-one. If so, (a) write an equation for the inverse function in the form $y=f^{-1}(x)$ , (b) graph $f$ and $f^{-1}$ on the same axes, and (c) give the domain and the range of $f$ and $f^{-1}$ . If the function is not one-to-one, say so. $f(x)=x^{3}-1$ (a) Write an equation for the inverse function in the form $y=f^{-1}(x)$ . Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. A. The function $f(x)$ is one-to-one and $f^{-1}(x)=$ $\qquad$ . (Simplify your answer.) B. The function is not one-to-one.

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Problem 2381

Lesson 16 Review - DORISM...
1 A balloon is 5 feet above the ground. It is released and floats up 6 feet every second. Write an equation to model the height of the balloon as a function of time in seconds. Write your answers in the blanks.

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Problem 2382

MATHEMATICS NOV 2024 GR10P1
QEESTION 1 1.1 Given that $R=\sqrt{\frac{11-x}{x+2}}$ , where $x \in\{-3 ;-2 ; 0 ; 1,6 ; 7\}$
Choose from the given set of $x$ values one $x$ value for which $R$ will be: 1.1.1. Rational (1) 1.1.2. Irrational (1) 1.1.3. Undefined (1) 1.2 Determine, without using a calculator, two negative integers between which $-\sqrt{47}$ lie? (2) 1.3 Factorize the following fully 1.3.1 $2 y^{2}+6 y-3 x y-9 x$ (2) 1.3.2. $x^{6}-64$ (3) 1.4 Simplify the following expressions fully 1.4.1 $\quad x+4-\frac{6 x-6}{2-x}-\frac{6}{x-2}$ (5) $1.4 .2 \quad \frac{16^{y-x+1} .27^{y+1}}{144^{y-x+1} \cdot 3^{2 x+y}}$ (4) [19]

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Problem 2383

1) Siemeh Funds Limited has invested in GHф 1,000 , five-year bonds with a coupon rate of $20 \%$ paid yearly. The bonds have three years to maturity and are currently trading with a yield to maturity of $21 \%$ on the fixed income market. What is the duration of the bonds? $y$ [8 marks]

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Problem 2384

What is the slope of the line in the graph? $-\frac{4}{3}$ $-\frac{3}{4}$ Mark this and return Save and Exit Next

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Problem 2385

1 2 3 ( 4 5 $\square$ $\square$ $\square$ $\square$ $\square$
The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30 -pound $\operatorname{dog} \frac{3}{5}$ milligram of the medicine, which equation relates the weight, $w$ , and the dosage, $d$ ? $\alpha=\frac{1}{50} w$ $\alpha=\frac{3}{5} w$ $d=18 w$ $d=50 w$

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Problem 2386

Write the correct formula for the following compounds. (a) strontium iodide $\mathrm{Sr}^{-} \mathrm{I}_{2}$ (b) iron(II) sulfide $\square$ (c) ammonium sulfite $\square$ (d) sodium chromate $\square$

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Problem 2387

Find the complex conjugate of $-6+5 i$ .
The complex conjugate of $-6+5 i$ is $\square$ (Type your answer in the form $a+b i$ .)

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Problem 2388

Question 8
Write an equation for a rational function with: Vertical asymptotes at $x=-4$ and $x=6$ $x$ intercepts at $x=1$ and $x=5$ Horizontal asymptote at $y=6$ $y=$ Question Help: Video Message instructor Submit Question

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Problem 2389

19. (a) These are the first four terms in a sequence. (i) Find an expression, in terms of $n$ , for the $n^{\text {th }}$ term of the sequence. $\begin{array}{l} 23+(4 \times n) \\ \begin{array}{ll} & 23+(4 \times n) \\ \text { Answer } \end{array} \end{array}$ (ii) Explain why it is not possible for a term in the sequence to be a multiple of 8 .
Answer $\qquad$ $\qquad$ [1] (iii) Write down the first four terms of a sequence in which some, but not all, of the terms are multiples of 8 .
Answer $\qquad$ [2] (b) The $n^{\text {th }}$ term of a difference sequence is given by $T_{n}=\frac{5 n+4}{192-4 n}$ . (i) Use the formula to find $T_{5}$ .
Give your answer as a fraction in its simplest form.
Answer $\qquad$ [1] (ii) The value of $T_{k}$ can be simplified to $\frac{4}{9}$ . Find the value of $k$ .
Answer $\qquad$ [3] (iii) Suggest a value of $n$ such that the value of $T_{n}$ is greater than 1 .

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Problem 2390

Irigonometrie Klasse 10
Autgabe 5 Datum:
Zwischen den Orten A und B soll ein Kabel geradlinig verlegt werden. $Z$ wischen $A$ und $B$ besteht durch einen Wald keine Sichtverbindung, wohl aber von einem Punkt $P$ aus. $A$ und $B$ werden von $P$ aus anvisiert, wobei der Winkel mit $43^{\circ}$ festgestellt wird. Ferner liegen folgende Messdaten vor: $\overline{P A}=2,365 \mathrm{~km}$ und $\overline{P B}=3,876 \mathrm{~km}$ . 3.1. Berechne die Länge des Kabels. 3.2. Bestimme die Winkel $\beta$ und $\gamma$ .

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Problem 2391

cost of the meal equally between the four of them. The total cost of the meal is $\$ 85$ . Work out how much each pay.

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Problem 2392

Question Watch Video Show Examples
A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 5 people and each large car can hold 7 people. A total of 10 cars were rented which can hold 66 people altogether. Write a system of equations that could be used to determine the number of small cars rented and the number of large cars rented. Define the variables that you use to write the system.
Answer Attempt 1 out of 3 $\square$

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Problem 2393

$7 \widehat{m O n}$ et $\widehat{n O p}$ sont deux angles adjacents supplementaires tels que mon $=50^{n}$ .
1. Calcule nop $2^{2}(O$ , $) est la bissectice de mon. (OW) celle de$ nop Calute $\mathrm{xON}_{0}$

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Problem 2394

Which of the following can be factored with grouping? $8 x^{3}-64 x^{2}+x-8$ $9 x^{2}-12 x+4$ $4 x^{2}-9$ $8 x^{3}+27$

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Problem 2395

When you calculate $(\ln ) 7$ , you would be finding the value of which of the following expressio $\log _{e} 7$ $\log _{7} e$ $\log _{10} 7$ $\log _{7} 10$

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Problem 2396

A 25 -foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a $65^{\circ}$ angle with a short vertical support.
What is the length $x$ of a diagonal support, to the nearest tenth of a foot? $x \approx$ $\qquad$ feet
The solution is

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Problem 2397

Part 2 or 3
Thirteen jurors are randomly selected from a population of 3 million residents. Of these 3 million residents, it is known that $43 \%$ are of a minority race. Of the 13 jurors selected, 2 are minorities. (a) What proportion of the jury described is from a minority race? (b) If 13 jurors are randomly selected from a population where $43 \%$ are minorities, what is the probability that 2 or fewer jurors will be minorities? (c) What might the lawyer of a defendant from this minority race argue? (a) The proportion of the jury described that is from a minority race is 15. $\square$ (Round to two decimal places as needed.) (b) The probability that 2 or fewer out of 13 jurors are minorities, assuming that the proportion of the population that are minorities is $43 \%$ , is $\square$ (Round to four decimal places as needed.)

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Problem 2398

Q6 (6 points) Find the general equation of the plane containing the origin and points $P(1,2,3)$ and $Q(1,-1,1)$ .

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Problem 2399

52 The reaction between potassium superoxide, $\mathrm{KO}_{2}$ , and $\mathrm{CO}_{2}$ $4 \mathrm{KO}_{2}+2 \mathrm{CO}_{2} \longrightarrow 2 \mathrm{~K}_{2} \mathrm{CO}_{3}+3 \mathrm{O}_{2}$ is used as a source of $\mathrm{O}_{2}$ and absorber of $\mathrm{CO}_{2}$ in self-contained breathing equipment used by rescue workers. (a) How many moles of $\mathrm{O}_{2}$ are produced when 0.400 mol of $\mathrm{KO}_{2}$ reacts in this fashion? (b) How many grams of $\mathrm{KO}_{2}$ are needed to form 7.50 g of $\mathrm{O}_{2}$ ?

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Problem 2400

In a certain year the population of a country reached 321 million. The overall birth rate was 13.5 births per 1000 , and the overall death rate was 8.8 deaths per 1000 . Complete parts (a) through (d) below. a. Approximately how many births were there in the country in that year?
There were $\square$ births in the country. (Type an integer or a decimal.)

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1 ...21 22 23 24 25 26 27 ...122

Word Problem

Problem 2301

The sum of 5 consecutive odd numbers is 145.What is the third number in this sequence? □\square□

Problem 2302

Papa John's currently offers 16 different pizza toppings. Calculate how many different three-topping pizzas could you create with 16 unique toppings showing your work on the answer sheet.

Problem 2303

Problem 2304

Problem 2305

Problem 2306

Problem 2307

Problem 2308

Problem 2309

8 In which of the following molecules does the central atom have an expanded valence shell? a. N2O\mathrm{N}_{2} \mathrm{O}N2​O b. PCl5\mathrm{PCl}_{5}PCl5​ c. BeF2\mathrm{BeF}_{2}BeF2​ d. AsF3\mathrm{AsF}_{3}AsF3​ e. H2O\mathrm{H}_{2} \mathrm{O}H2​OSelect one: a

Problem 2310

Problem 2311

Which of the following would result in the widest confidence interval? A sample size of 100 with 95%95 \%95% confidence A sample size of 100 with 99%99 \%99% confidence. A sample size of 30 with 95%95 \%95% confidence. A sample size of 30 with 99%99 \%99% confidence.

Problem 2312

Problem 2313

Problem 2314

Problem 2315

Problem 2316

Margaret uses 1341 \frac{3}{4}143​ teaspoons of key lime zest to make 12 key lime cupcakes. She wants to make 30 cupcakes. How much key lime zest will Margaret use?

Problem 2317

Problem 2318

Problem 2319

Problem 2320

Problem 2321

Marnie solved the proportion 150170=x510\frac{150}{170}=\frac{x}{510}170150​=510x​ to find the value of xxx in the enlarged parallelogram.Not drawn to scaleWhat is the value of xxx ? x=255x=255x=255 x=300x=300x=300 x=340x=340x=340 x=450x=450x=450

Problem 2322

Problem 2323

Problem 2324

Problem 2325

Problem 2326

Problem 2327

Given a right triangle with a 60° angle and a hypotenuse of length 7, find the missing sides.\text{Given a right triangle with a 60° angle and a hypotenuse of length 7, find the missing sides.}Given a right triangle with a 60° angle and a hypotenuse of length 7, find the missing sides.

Problem 2328

Problem 2329

Problem 2330

Problem 2331

The Candle Company is having its semiannual sale. All items are 40 percent off. If the original price of a candle basket is $120\$ 120$120, what is the sale price? \36$4836 \$48 36$48\72 7272 \$84

Problem 2332

Pre-TestActive1 2 3 4.Raymond bought a used truck for $18,800\$ 18,800$18,800. If the sales tax in his state is 7 percent, what was the final price for his car? \$1,316 \$1,504 \$20,116 \$20,492

Problem 2333

1 2 3 4 5A board game that normally costs $30\$ 30$30 is on sale for 25 percent off. What is the sale price of the game? $22.50\$ 22.50$22.50 \27.5027.50 27.50\32.50 32.5032.50 $37.50\$ 37.50$37.50

Problem 2334

11. A deposit of $2,500\$ 2,500$2,500 grew to $3,325\$ 3,325$3,325 after 6 years. What is the final value of a deposit of $7,500\$ 7,500$7,500 at the same interest rate for the same period of time?

Problem 2335

4. YES or NOClassification: \qquadSide lengths: 6,6,206,6,206,6,20

Problem 2336

1 2 3 4 5 6 7 8.The value of a car decreases by 20 percent per year. Mr. Sing purchases a $22,000\$ 22,000$22,000 automobile. What is the value of the car at the end of the second year? \$14,080 \$17,600 \$19,800 \$26,400

Problem 2337

A line that passes through the point (−2,2)(-2,2)(−2,2) has a slope of 38\frac{3}{8}83​.If you use the slope to make another point, the coordinates of the new point are * Make sure point is located in quadrant I. ( type your answer... type your a

Problem 2338

Problem 2339

ulze: Module 5 ≡1\equiv 1≡1 =2=2=2 3 4 5 6 7 8 9 0 C(x)=20.00−0.20xC(x)=20.00-0.20 xC(x)=20.00−0.20xHow much credit is lett on the card atter Kation uses it for 50 minutes of cals?

Problem 2340

Give a formula for the sequence given by 21,42,86,1624,…\frac{2}{1}, \frac{4}{2}, \frac{8}{6}, \frac{16}{24}, \ldots12​,24​,68​,2416​,…

Problem 2341

6. The cafeteria ordered 23 boxes of peach yogurt and 57 boxes of raspberry yogurt. Each box contained 6 cups of yogurt. How many cups of yogurt did the cafeteria order?

Problem 2342

Problem 2343

1 2 3 4 5 6 7 8 9 10 TIME REMAININMiguel babysit: 3 for 3 hours and earns $15\$ 15$15. Which represents the unit rate? $1\$ 1$1 per 5 hours \15perhour1hourper$515 per hour 1 hour per \$5 15perhour1hourper$5\5 55 per hour

Problem 2344

Problem 2345

What is the value of ppp in the proportion below? 206=p12\frac{20}{6}=\frac{p}{12}620​=12p​ 2 10 40 72

Problem 2346

Problem 2347

1 2 3 4 5 6 7 8 9 10 TIME RENAINJeremy wants to give a 20%20 \%20% gratuity to his cab driver. His fare is $35.50\$ 35.50$35.50. What is the total amount he will pay the driver? $7.10\$ 7.10$7.10 \17.7517.75 17.75\42.60 42.6042.60 \$63.90

Problem 2348

Problem 2349

Rachel finished a meal at a diner and received a bill for $10.99\$ 10.99$10.99. She charged the bill along with a 15 percent gratuity to her credit card. What is the total amount she charged to her credit card? Round to the nearest cent if necessary. \$11.14 \$12.64 \$13.19 \$13.73

Problem 2350

Problem 2351

A group of 32 players forms 4 volleyball teams. If there are 96 players, how many teams can be formed? 3 teams 8 teams 12 teams 24 teams

Problem 2352

Problem 2353

Problem 2354

What is P-value? Give a formal definition.Problem 7) State the Central Limit Theorem.

Problem 2355

Round answers to the hundredths place:6. Change v⃗\vec{v}v to the component form of a vector if v⃗\vec{v}v is 13 units long and has a direction angle of 219∘219^{\circ}219∘.

The sum of 5 consecutive odd numbers is 145.
What is the third number in this sequence? $\square$

8 In which of the following molecules does the central atom have an expanded valence shell? a. $\mathrm{N}_{2} \mathrm{O}$ b. $\mathrm{PCl}_{5}$ c. $\mathrm{BeF}_{2}$ d. $\mathrm{AsF}_{3}$ e. $\mathrm{H}_{2} \mathrm{O}$
Select one: a

Which of the following would result in the widest confidence interval? A sample size of 100 with $95 \%$ confidence A sample size of 100 with $99 \%$ confidence. A sample size of 30 with $95 \%$ confidence. A sample size of 30 with $99 \%$ confidence.

Margaret uses $1 \frac{3}{4}$ teaspoons of key lime zest to make 12 key lime cupcakes. She wants to make 30 cupcakes. How much key lime zest will Margaret use?

Marnie solved the proportion $\frac{150}{170}=\frac{x}{510}$ to find the value of $x$ in the enlarged parallelogram.
Not drawn to scale
What is the value of $x$ ? $x=255$ $x=300$ $x=340$ $x=450$

$\text{Given a right triangle with a 60° angle and a hypotenuse of length 7, find the missing sides.}$

The Candle Company is having its semiannual sale. All items are 40 percent off. If the original price of a candle basket is $\$ 120$ , what is the sale price? \ $36 \$48$ \ $72$ \$84

Pre-Test
Active
1 2 3 4.
Raymond bought a used truck for $\$ 18,800$ . If the sales tax in his state is 7 percent, what was the final price for his car? \$1,316 \$1,504 \$20,116 \$20,492

1 2 3 4 5
A board game that normally costs $\$ 30$ is on sale for 25 percent off. What is the sale price of the game? $\$ 22.50$ \ $27.50$ \ $32.50$ $\$ 37.50$

11. A deposit of $\$ 2,500$ grew to $\$ 3,325$ after 6 years. What is the final value of a deposit of $\$ 7,500$ at the same interest rate for the same period of time?

4. YES or NO
Classification: $\qquad$
Side lengths: $6,6,20$

1 2 3 4 5 6 7 8.
The value of a car decreases by 20 percent per year. Mr. Sing purchases a $\$ 22,000$ automobile. What is the value of the car at the end of the second year? \$14,080 \$17,600 \$19,800 \$26,400

A line that passes through the point $(-2,2)$ has a slope of $\frac{3}{8}$ .
If you use the slope to make another point, the coordinates of the new point are * Make sure point is located in quadrant I. ( type your answer... type your a

ulze: Module 5 $\equiv 1$ $=2$ 3 4 5 6 7 8 9 0 $C(x)=20.00-0.20 x$
How much credit is lett on the card atter Kation uses it for 50 minutes of cals?

Give a formula for the sequence given by $\frac{2}{1}, \frac{4}{2}, \frac{8}{6}, \frac{16}{24}, \ldots$

1 2 3 4 5 6 7 8 9 10 TIME REMAININ
Miguel babysit: 3 for 3 hours and earns $\$ 15$ . Which represents the unit rate? $\$ 1$ per 5 hours \ $15 per hour 1 hour per \$5$ \ $5$ per hour

What is the value of $p$ in the proportion below? $\frac{20}{6}=\frac{p}{12}$ 2 10 40 72

1 2 3 4 5 6 7 8 9 10 TIME RENAIN
Jeremy wants to give a $20 \%$ gratuity to his cab driver. His fare is $\$ 35.50$ . What is the total amount he will pay the driver? $\$ 7.10$ \ $17.75$ \ $42.60$ \$63.90

Rachel finished a meal at a diner and received a bill for $\$ 10.99$ . She charged the bill along with a 15 percent gratuity to her credit card. What is the total amount she charged to her credit card? Round to the nearest cent if necessary. \$11.14 \$12.64 \$13.19 \$13.73

What is P-value? Give a formal definition.
Problem 7) State the Central Limit Theorem.

Round answers to the hundredths place:
6. Change $\vec{v}$ to the component form of a vector if $\vec{v}$ is 13 units long and has a direction angle of $219^{\circ}$ .

A recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe? 8 to 3 $\frac{3}{8}$ 3 to 11 8:3

What is the value of $n$ in the proportion below? $\frac{n}{28}=\frac{4}{7}$ 1 12 14 16

Q10.
Kiaria is 7 years older than Jay. Martha is twice as old as Kiaria. The sum of their three ages is 77 Find the ratio of Jay's age to Kiaria's age to Martha's age.

What is the prime factorization of 40 ? $2 \times 5$ $2 \times 20$ $2 \times 2 \times 2 \times 5$ $2 \times 2 \times 4 \times 5$

Which list shows all the factors of 36 ?
$1,2,3,4,6,9,12,18,36$
$1,2,3,4,8,9,12,18,36$ 2, 3, 4, 6, 9, 12, 18 $2,4,6,8,9,12,18$

What is the greatest common factor of 9 and $12 ?$ 3 9 36 108

Factors ant muntupics Pre-Test
Active
1 2 3 4 5 6 1. \$5 4 16
Which only lists multiples of 16 ? $1,2,4,8,16$ $16,24,32,40$ $16,32,48,64$ 1, $2,4,8,12,16$

19. Nathan works at a hardware store. Today he sold 48 tools. $\frac{5}{6}$ of the tools he sold were hammers. How many hammers did Nathan sell today? $\qquad$