Word Problems

Problem 2201

Find where the polynomial $y=x^{2}+3x+2$ intersects the $y$ -axis.

See Solution

Problem 2202

Find the midpoint of the segment between the points $(-7,5)$ and $(7,7)$ .

See Solution

Problem 2203

Find the height $h$ of isosceles triangle $ABC$ if the unshaded heights are 11 and 5 units. Choices: (A) 14.6 (B) 14.8 (C) 15 (D) 15.2 (E) 15.4

See Solution

Problem 2204

Find the $x$ -values where $y = x^{2} + 5x + 6$ intersects the $x$ -axis. (List answers separated by commas.)

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Problem 2205

Find the end behavior of $y$ as $x \to \infty$ for the equation $y = -7x^{3}$ .

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Problem 2206

Find the points where the polynomial $y=x^{2}-4 x+3$ intersects the $\mathrm{x}$ -axis.

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Problem 2207

Identify if the following matrices are in reduced echelon form or just echelon form: a. $\begin{bmatrix}1 & 0 & 0 & 0 \\ 0 & 4 & 0 & 0 \\ 0 & 0 & 1 & 1\end{bmatrix}$ b. $\begin{bmatrix}1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 \\ 0 & 0 & 0 & 1\end{bmatrix}$ c. $\begin{bmatrix}1 & 2 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1\end{bmatrix}$ Classify matrix a.

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Problem 2208

Find the zeros of the equation $y + 64x = x^3$ .

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Problem 2209

Last year $k$ pies were baked, this year 196. Write an expression for total pies over two years: $k + 196$ .

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Problem 2210

Determine the end behavior of $y$ as $x \to -\infty$ for the equation $y=-4x^{5}+4x^{2}-8$ .

See Solution

Problem 2211

Brian made 4 purchases earning 9.6 points. Find points per purchase $n$ using the equation $4n = 9.6$ and solve for $n$ .

See Solution

Problem 2212

Find two consecutive even integers such that their sum is at most 7 more than half the sum of the next two even integers.

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Problem 2213

In right triangle ABC, with sides a=7 and c=10, find side b using the Pythagorean theorem and calculate sin, cos, tan, csc, sec, cot for angle B.

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Problem 2214

A fish tank can hold 315 gallons. If a hose fills it at 15 gallons every 10 minutes, how many hours until it overflows?

See Solution

Problem 2215

Find the second quarter revenue for 2015 using the model $8.63 x^{0.524}$ with $x=10$ . What is $x$ ?
$x=$

See Solution

Problem 2216

A fish tank holds 315 gallons. If a hose fills at 1 gallon every 10 min, how many hours can it run before overflowing?

See Solution

Problem 2217

Mrs. Cano buys an apple pencil for \$99 with an 8% sales tax. What is the sales tax amount she will pay?

See Solution

Problem 2218

Mrs. Cano bought folders for her classroom. If each costs \$0.25 and she spent \$10, how many did she buy?

See Solution

Problem 2219

Ashley has \$425.82. What is her balance after a deposit of \$120.75 and a withdrawal of \$185.90?

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Problem 2220

Identify which of these numbers is an integer: 2.5, -2.5, 35, -20.

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Problem 2221

Samantha spent \$8.60 on charms costing \$0.20 each. How many charms did she buy?

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Problem 2222

Express the gross salary $G$ for someone earning \ $26/hour as a function of hours worked$ x $. What is$ G(x)$?

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Problem 2223

Calculate the total hours Reggie worked from 8:00 AM to 10:45 AM and 12:15 PM to 4:15 PM.

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Problem 2224

An airplane flies 3000 miles at 500 mph. Cost per passenger is $C(x)=75+\frac{x}{25}+\frac{31,000}{x}$ . Find cost with no wind. $\$ \square$ (Round to the nearest cent.)

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Problem 2225

An airplane crosses 3000 miles at 500 mph. Find cost $C(x)=75+\frac{x}{25}+\frac{31,000}{x}$ per passenger for: (b) headwind 50 mph: \$161.89; (c) tailwind 100 mph: \$\square.

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Problem 2226

An airplane flies 3000 miles at 500 mph. Cost per passenger is $C(x)=75+\frac{x}{25}+\frac{31,000}{x}$ . Find costs for 100 mph tailwind and headwind.

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Problem 2227

An airplane flies 3000 miles at 500 mph. Cost per passenger is $C(x)=75+\frac{x}{25}+\frac{31,000}{x}$ . Find costs for no wind and 50 mph headwind.

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Problem 2228

Ruth worked from 7:30 AM to 11:55 AM and 1:00 PM to 4:50 PM. Find her total work duration in hours and minutes.

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Problem 2229

Calculate the total cost for 140 items at \$3.20 each.

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Problem 2230

Given revenue $R(x)=-1.9 x^{2}+323 x$ and cost $C(x)=0.09 x^{3}-2 x^{2}+75 x+600$ :
(a) Find profit $P(x)=R(x)-C(x)$ .
(b) Calculate profit for $x=25$ hundred phones.
(c) Explain $P(25)$ .

See Solution

Problem 2231

Find the number of subsets and proper subsets of the set $A=\{8,9,10,11,12,14,15,16\}$ .

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Problem 2232

Rewrite using math symbols: a. $Q = \{t, b, p\}$ ; b. $\{2, 5\} = \{5, 2\}$ ; c. $\{2, 5\} \nsubseteq \{3, 2, 4\}$ .

See Solution

Problem 2233

Which sets are equal? A. $E=F$ C. $A=C$ E. $J=L$ B. $A=B$ D. $E=H$ F. $C=D$ with sets $A, B, C, D, E, F, J, L$ .

See Solution

Problem 2234

Calculate the total cost for 140 items at \$3.20 each. Use the formula: Total Cost = 140 * \$3.20.

See Solution

Problem 2235

Calculate the total cost for 1,494 items at \ $0.15 each:$ 1,494 \times 0.15$.

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Problem 2236

Logan's bill for 80 copies is \$13.00. If machine-fed copies cost \$0.08 and hand-fed copies \$0.20, find the number of each type.

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Problem 2237

Explain well-defined vs. not well-defined sets. Which statement is true? A, B, C, or D? Which sets are well-defined? A, B, C, D, E?

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Problem 2238

Eddie earns \ $17.25/hour for 37 hours. Overtime is$ 1 \frac{1}{2}$ times that. Calculate his total pay for the week.

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Problem 2239

Lindsay wants to earn at least \ $300 babysitting ($ 12/hr $) and mowing lawns ($ 15/hr$) in a max of 50 hours. Solve:
$\begin{cases} 12x + 15y \geq 300 \\ x + y \leq 50 \end{cases}$
Which job combo meets her goals?

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Problem 2240

Luke has 67 coins (quarters and dimes) totaling \$0.60. Find the number of each type of coin.

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Problem 2241

Lynsay wants to earn at least \ $300 babysitting ($ 12/hour) and mowing ($15/hour) without exceeding 50 hours. Solve:
$\left\{\begin{array}{l} 12 x+15 y \geq 300 \\ x+y \leq 50 \end{array}\right.$
What's the minimum total hours to achieve this?

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Problem 2242

Luke has 67 coins (quarters and dimes) worth \$10.60. Find the number of each type of coin.

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Problem 2243

How many Earths ( $5.972 \times 10^{24} \mathrm{~kg}$ ) equal the mass of a sun ( $1.61244 \times 10^{32} \mathrm{~kg}$ )? Answer in scientific notation.

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Problem 2244

What was the original price of an item if it was reduced by \$1.15 and the new price is \$33.37?

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Problem 2245

Identify the digits in the thousands and tens places of the number 4,301. thousands: tens:

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Problem 2246

Identify the hundreds and tens digits in the number 2,084.

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Problem 2247

What percent of students studied less than 10 minutes if Jeffrey studied for 25 minutes?

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Problem 2248

Find the density of an object with mass 60 grams and volume $2 \mathrm{~cm}^{3}$ .

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Problem 2249

Find the standard deviation of human pregnancy lengths given a mean of 267 days and $95\%$ lasting between 245 and 289 days. What percent last at least 285 days? Standard deviation: $\square$ days.

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Problem 2250

Find the density of a rectangular artifact with dimensions $2 \mathrm{~cm} \times 3 \mathrm{~cm} \times 4 \mathrm{~cm}$ and mass 36 grams.

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Problem 2251

Liza deposits \ $15 weekly. What equation for balance$ y $after$ x $weeks? A)$ y=15 $B)$ y=15x $C)$ y=x+15 $D)$ y=\frac{x}{15}+1$

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Problem 2252

Faith weighs 100 pounds. A mineral has a mass of $24 \mathrm{~g}$ and volume of $6 \mathrm{~cm}^{3}$ . Find its density.

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Problem 2253

Find the density of a gold brick with volume $16.51 \mathrm{~cm}^3$ and mass 318.97 grams.

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Problem 2254

Find the cutoff score for an $A$ if the mean is 74 and the standard deviation is 8.11, top $6\%$ .

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Problem 2255

Find the mean of a normal distribution where 1 SD above is 93 and 2 SD below is 39.

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Problem 2256

In 1973, a Mets ticket was \$1.30. What would it cost in 2019 using the CPI of 44.4 and 255.657? Round to the nearest cent.

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Problem 2257

Find the standard deviation of human pregnancy lengths given a mean of 267 days and a range of 245 to 289 days. What percent last at least 285 days?

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Problem 2258

Calculate the fans per employee at Madison Square Garden in 2021, given 8,900 employees and 19,812 seats. Round to the nearest tenth.

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Problem 2259

Colorado has 62,885 births yearly for a population of $5,845,526$ . How many births for 100,000 people? Round to nearest whole number.

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Problem 2260

If Iowa has 37,785 births and 30,530 deaths, how many births should Maine expect with 14,676 deaths? Round to the nearest whole number.

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Problem 2261

Convert 158 degrees Celsius to Fahrenheit using the formula $F = \frac{9}{5}C + 32$ .

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Problem 2262

Convert 166 degrees Celsius to Fahrenheit using the formula $F = \frac{9}{5}C + 32$ .

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Problem 2263

Find $x$ if $m \angle PQR = x + 9$ , $m \angle SQR = x - 3$ , and $m \angle PQS = 100$ .

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Problem 2264

Find the perimeter of triangle with vertices at $P(6,4)$ , $Q(-3,1)$ , and $R(9,-5)$ in surd form.

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Problem 2265

Republica Airlines canceled 416 flights, which is $9.30 \%$ of scheduled flights. How many were originally scheduled? Round to the nearest whole number.

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Problem 2266

Find the equation of the locus of point $P(x, y)$ such that the distances to points $S(4,6)$ and $R(12,6)$ are equal: $|P S|=|P R|$ .

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Problem 2267

Calculate the absolute and relative changes for cable TV ( $75 to$ 85.23) and eggs ( $1.80 to$ 2.37).

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Problem 2268

Sketch an angle $\theta$ with the point $(-6,0)$ on its terminal side. Find the six trig functions of $\theta$ .

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Problem 2269

A ball is thrown up at $12.5 \mathrm{~m/s}$ . How long until it hits the ground again?

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Problem 2270

A candy store buys bags of candy with and without nuts. Let $x$ be bags with nuts and $y$ without. Write inequalities for 120 lbs milk and 450 lbs white chocolate, and cost under \$3000.

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Problem 2271

Determine if the ratio $\frac{y}{r}$ is positive or negative for the point $(x, y)$ in quadrant II, where $r=\sqrt{x^{2}+y^{2}}$ .

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Problem 2272

Find the measurement accuracy for diameter $d$ given $\Delta l = \alpha * L_0 * \Delta T * d$ and values: $\alpha=0.25*10^2$ , $L_0=0.05$ , $\Delta T=0.020$ , $d=0.05$ .

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Problem 2273

Una moto alcanza $162.00 \mathrm{~km/h}$ en 30 s. ¿Cuánto tiempo tardará en recorrer 200 m y a qué velocidad lo hará?

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Problem 2274

Find the area of a circle with radius 13 m. Options: A. $4 m^{2}$ B. $8 m^{2}$ C. $6.28 m^{2}$ D. $12.57 m^{2}$
Calculate the volume of a sphere with radius 13 m. Options: A. $14,356.32 m^{3}$ B. $427.74 m^{3}$ C. $141.58 m^{3}$ D. $161,747.92 m^{3}$
What is the radius of a sphere with surface area $616 cm^{2}$ ? Options: A. $7 cm$ B. $14 cm$ C. $21 cm$ D. $28 cm$
Find the slant height of a cone formed by rolling a semi-circle of radius $10 cm$ . Options: A. $5 cm$ B. $10 cm$ C. $15 cm$

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Problem 2275

Calculate the volume of a cylinder with radius $4 \mathrm{~cm}$ and height $10 \mathrm{~cm}$ . Options: A. $80 \pi$ B. $100 \pi$ C. $160 \pi$ D. $200 \pi$

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Problem 2276

Una moto alcanza $162.00 \mathrm{~km/h}$ en 30 segundos. ¿Cuánto tiempo tardará en recorrer 200 metros y a qué velocidad?

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Problem 2277

What percent is 36 of 90? Options: $25 \%$ , $4 \%$ , $400 \%$ , $2.5 \%$ , $40 \%$ .

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Problem 2278

In a college with 2980 students, if $50\%$ are male, how many are female? Provide your answer as an integer.

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Problem 2279

In a college with 2080 students, if $50\%$ are male, how many are female? Provide your answer as an integer.

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Problem 2280

Find the percentage of salt by mass in 125 g of seasoning containing 62.0 g of salt. Express the percentage numerically.

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Problem 2281

What integer $x$ satisfies $4! \cdot x = 52$ ?

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Problem 2282

Find the percentage increase in the average cost of automobiles from \ $16,000 to \$18,720. Rate of increase$ \quad+\quad \%$

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Problem 2283

How much must Pete deposit to withdraw \$9,000 yearly for 3 years at 6% interest? Round PVA to 3 decimals, answer to nearest dollar.

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Problem 2284

Football player uniform numbers illustrate which type of scale: A. ordinal, B. interval, C. nominal, D. ratio?

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Problem 2285

A company offers \$52,000 now for \$7,000 annual payments over 10 years. Find the present value at 7% interest.

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Problem 2286

What is the payment amount for a \$9,000 loan at 7% interest over 5 years? Round PVA factor to 3 decimals, answer to 2.

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Problem 2287

What percentage of 25 patients received flu shots if 16 were given shots? Round to two significant figures with units.

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Problem 2288

What is the formula of an acid derived from the anion $\mathrm{SO}_{3}^{2-}$ ?

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Problem 2289

What score does a golfer need in the final round to average par (72) after shooting 78, 69, and 71?

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Problem 2290

What trip setting disconnects a Category A2 RPP if voltage at POC reaches $115\%$ of nominal?

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Problem 2291

How do you write the formula for a compound with potassium and dichromate ions?

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Problem 2292

An alloy has $52 \mathrm{~g}$ silver and $24 \mathrm{~g}$ copper. Find the percentage of silver in the alloy.

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Problem 2293

A hockey rink is 115 ft longer than its width. The perimeter is 570 ft. Find the rink's dimensions in feet.

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Problem 2294

What is the formula of the compound formed from $\mathrm{K}$ and $\mathrm{O}$ in a chemical reaction?

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Problem 2295

A gardener plans to fence a square area of side 28 ft. How much fencing is needed for the rectangular area, which requires double?

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Problem 2296

Find the percentage of dimes in a coin collection with 11 nickels, 3 quarters, and 5 dimes. Round to two significant figures.

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Problem 2297

Identify the incorrect expression for the sum $-x \sum_{r=0}^{3} \frac{x^{r+1}}{r !}$ from the options given.

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Problem 2298

Cube B's side is 3 times cube A's. If volume A is $a \mathrm{~cm}^{3}$ , find $b$ in terms of $a$ :
a. $b=81 a$ b. $b=9 a$ c. $b=3 a$ d. $b=27 a$

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Problem 2299

What is the correct chemical formula for a bromine molecule?

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Problem 2300

Order the numbers $580, 519, 592, 693$ and $562, 527$ from greatest to least.

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1 ...20 21 22 23 24 25 26 ...101

Word Problems

Problem 2201

Find where the polynomial y=x2+3x+2y=x^{2}+3x+2y=x2+3x+2 intersects the yyy-axis.

Problem 2202

Find the midpoint of the segment between the points (−7,5)(-7,5)(−7,5) and (7,7)(7,7)(7,7).

Problem 2203

Find the height hhh of isosceles triangle ABCABCABC if the unshaded heights are 11 and 5 units. Choices: (A) 14.6 (B) 14.8 (C) 15 (D) 15.2 (E) 15.4

Problem 2204

Find the xxx-values where y=x2+5x+6y = x^{2} + 5x + 6y=x2+5x+6 intersects the xxx-axis. (List answers separated by commas.)

Problem 2205

Find the end behavior of yyy as x→∞x \to \inftyx→∞ for the equation y=−7x3y = -7x^{3}y=−7x3.

Problem 2206

Find the points where the polynomial y=x2−4x+3y=x^{2}-4 x+3y=x2−4x+3 intersects the x\mathrm{x}x-axis.

Problem 2207

Problem 2208

Find the zeros of the equation y+64x=x3y + 64x = x^3y+64x=x3.

Problem 2209

Last year kkk pies were baked, this year 196. Write an expression for total pies over two years: k+196k + 196k+196.

Problem 2210

Determine the end behavior of yyy as x→−∞x \to -\inftyx→−∞ for the equation y=−4x5+4x2−8y=-4x^{5}+4x^{2}-8y=−4x5+4x2−8.

Problem 2211

Brian made 4 purchases earning 9.6 points. Find points per purchase nnn using the equation 4n=9.64n = 9.64n=9.6 and solve for nnn.

Problem 2212

Find two consecutive even integers such that their sum is at most 7 more than half the sum of the next two even integers.

Problem 2213

In right triangle ABC, with sides a=7 and c=10, find side b using the Pythagorean theorem and calculate sin, cos, tan, csc, sec, cot for angle B.

Problem 2214

A fish tank can hold 315 gallons. If a hose fills it at 15 gallons every 10 minutes, how many hours until it overflows?

Problem 2215

Find the second quarter revenue for 2015 using the model 8.63x0.5248.63 x^{0.524}8.63x0.524 with x=10x=10x=10. What is xxx? x= x= x=

Problem 2216

A fish tank holds 315 gallons. If a hose fills at 1 gallon every 10 min, how many hours can it run before overflowing?

Problem 2217

Mrs. Cano buys an apple pencil for \$99 with an 8% sales tax. What is the sales tax amount she will pay?

Problem 2218

Mrs. Cano bought folders for her classroom. If each costs \$0.25 and she spent \$10, how many did she buy?

Problem 2219

Ashley has \$425.82. What is her balance after a deposit of \$120.75 and a withdrawal of \$185.90?

Problem 2220

Identify which of these numbers is an integer: 2.5, -2.5, 35, -20.

Problem 2221

Samantha spent \$8.60 on charms costing \$0.20 each. How many charms did she buy?

Problem 2222

Express the gross salary GGG for someone earning \26/hourasafunctionofhoursworked26/hour as a function of hours worked 26/hourasafunctionofhoursworkedx.Whatis. What is .WhatisG(x)$?

Problem 2223

Calculate the total hours Reggie worked from 8:00 AM to 10:45 AM and 12:15 PM to 4:15 PM.

Problem 2224

An airplane flies 3000 miles at 500 mph. Cost per passenger is C(x)=75+x25+31,000xC(x)=75+\frac{x}{25}+\frac{31,000}{x}C(x)=75+25x​+x31,000​. Find cost with no wind. $□\$ \square$□ (Round to the nearest cent.)

Problem 2225

An airplane crosses 3000 miles at 500 mph. Find cost C(x)=75+x25+31,000xC(x)=75+\frac{x}{25}+\frac{31,000}{x}C(x)=75+25x​+x31,000​ per passenger for: (b) headwind 50 mph: \$161.89; (c) tailwind 100 mph: \$\square.

Problem 2226

An airplane flies 3000 miles at 500 mph. Cost per passenger is C(x)=75+x25+31,000xC(x)=75+\frac{x}{25}+\frac{31,000}{x}C(x)=75+25x​+x31,000​. Find costs for 100 mph tailwind and headwind.

Problem 2227

An airplane flies 3000 miles at 500 mph. Cost per passenger is C(x)=75+x25+31,000xC(x)=75+\frac{x}{25}+\frac{31,000}{x}C(x)=75+25x​+x31,000​. Find costs for no wind and 50 mph headwind.

Problem 2228

Ruth worked from 7:30 AM to 11:55 AM and 1:00 PM to 4:50 PM. Find her total work duration in hours and minutes.

Problem 2229

Calculate the total cost for 140 items at \$3.20 each.

Problem 2230

Problem 2231

Find the number of subsets and proper subsets of the set A={8,9,10,11,12,14,15,16}A=\{8,9,10,11,12,14,15,16\}A={8,9,10,11,12,14,15,16}.

Problem 2232

Rewrite using math symbols: a. Q={t,b,p}Q = \{t, b, p\}Q={t,b,p}; b. {2,5}={5,2}\{2, 5\} = \{5, 2\}{2,5}={5,2}; c. {2,5}⊈{3,2,4}\{2, 5\} \nsubseteq \{3, 2, 4\}{2,5}⊈{3,2,4}.

Problem 2233

Which sets are equal? A. E=FE=FE=F C. A=CA=CA=C E. J=LJ=LJ=L B. A=BA=BA=B D. E=HE=HE=H F. C=DC=DC=D with sets A,B,C,D,E,F,J,LA, B, C, D, E, F, J, LA,B,C,D,E,F,J,L.

Problem 2234

Calculate the total cost for 140 items at \$3.20 each. Use the formula: Total Cost = 140 * \$3.20.

Problem 2235

Calculate the total cost for 1,494 items at \0.15each:0.15 each: 0.15each:1,494 \times 0.15$.

Problem 2236

Logan's bill for 80 copies is \$13.00. If machine-fed copies cost \$0.08 and hand-fed copies \$0.20, find the number of each type.

Problem 2237

Explain well-defined vs. not well-defined sets. Which statement is true? A, B, C, or D? Which sets are well-defined? A, B, C, D, E?

Problem 2238

Eddie earns \17.25/hourfor37hours.Overtimeis17.25/hour for 37 hours. Overtime is 17.25/hourfor37hours.Overtimeis1 \frac{1}{2}$ times that. Calculate his total pay for the week.

Problem 2239

Problem 2240

Luke has 67 coins (quarters and dimes) totaling \$0.60. Find the number of each type of coin.

Problem 2241

Problem 2242

Find where the polynomial $y=x^{2}+3x+2$ intersects the $y$ -axis.

Find the midpoint of the segment between the points $(-7,5)$ and $(7,7)$ .

Find the height $h$ of isosceles triangle $ABC$ if the unshaded heights are 11 and 5 units. Choices: (A) 14.6 (B) 14.8 (C) 15 (D) 15.2 (E) 15.4

Find the $x$ -values where $y = x^{2} + 5x + 6$ intersects the $x$ -axis. (List answers separated by commas.)

Find the end behavior of $y$ as $x \to \infty$ for the equation $y = -7x^{3}$ .

Find the points where the polynomial $y=x^{2}-4 x+3$ intersects the $\mathrm{x}$ -axis.

Find the zeros of the equation $y + 64x = x^3$ .

Last year $k$ pies were baked, this year 196. Write an expression for total pies over two years: $k + 196$ .

Determine the end behavior of $y$ as $x \to -\infty$ for the equation $y=-4x^{5}+4x^{2}-8$ .

Brian made 4 purchases earning 9.6 points. Find points per purchase $n$ using the equation $4n = 9.6$ and solve for $n$ .

Find the second quarter revenue for 2015 using the model $8.63 x^{0.524}$ with $x=10$ . What is $x$ ?
$x=$

Express the gross salary $G$ for someone earning \ $26/hour as a function of hours worked$ x $. What is$ G(x)$?

An airplane flies 3000 miles at 500 mph. Cost per passenger is $C(x)=75+\frac{x}{25}+\frac{31,000}{x}$ . Find cost with no wind. $\$ \square$ (Round to the nearest cent.)

An airplane crosses 3000 miles at 500 mph. Find cost $C(x)=75+\frac{x}{25}+\frac{31,000}{x}$ per passenger for: (b) headwind 50 mph: \$161.89; (c) tailwind 100 mph: \$\square.

An airplane flies 3000 miles at 500 mph. Cost per passenger is $C(x)=75+\frac{x}{25}+\frac{31,000}{x}$ . Find costs for 100 mph tailwind and headwind.

An airplane flies 3000 miles at 500 mph. Cost per passenger is $C(x)=75+\frac{x}{25}+\frac{31,000}{x}$ . Find costs for no wind and 50 mph headwind.

Find the number of subsets and proper subsets of the set $A=\{8,9,10,11,12,14,15,16\}$ .

Rewrite using math symbols: a. $Q = \{t, b, p\}$ ; b. $\{2, 5\} = \{5, 2\}$ ; c. $\{2, 5\} \nsubseteq \{3, 2, 4\}$ .

Which sets are equal? A. $E=F$ C. $A=C$ E. $J=L$ B. $A=B$ D. $E=H$ F. $C=D$ with sets $A, B, C, D, E, F, J, L$ .

Calculate the total cost for 1,494 items at \ $0.15 each:$ 1,494 \times 0.15$.

Eddie earns \ $17.25/hour for 37 hours. Overtime is$ 1 \frac{1}{2}$ times that. Calculate his total pay for the week.

How many Earths ( $5.972 \times 10^{24} \mathrm{~kg}$ ) equal the mass of a sun ( $1.61244 \times 10^{32} \mathrm{~kg}$ )? Answer in scientific notation.

Find the density of an object with mass 60 grams and volume $2 \mathrm{~cm}^{3}$ .

Find the standard deviation of human pregnancy lengths given a mean of 267 days and $95\%$ lasting between 245 and 289 days. What percent last at least 285 days? Standard deviation: $\square$ days.

Find the density of a rectangular artifact with dimensions $2 \mathrm{~cm} \times 3 \mathrm{~cm} \times 4 \mathrm{~cm}$ and mass 36 grams.

Liza deposits \ $15 weekly. What equation for balance$ y $after$ x $weeks? A)$ y=15 $B)$ y=15x $C)$ y=x+15 $D)$ y=\frac{x}{15}+1$

Faith weighs 100 pounds. A mineral has a mass of $24 \mathrm{~g}$ and volume of $6 \mathrm{~cm}^{3}$ . Find its density.

Find the density of a gold brick with volume $16.51 \mathrm{~cm}^3$ and mass 318.97 grams.

Find the cutoff score for an $A$ if the mean is 74 and the standard deviation is 8.11, top $6\%$ .

Colorado has 62,885 births yearly for a population of $5,845,526$ . How many births for 100,000 people? Round to nearest whole number.

Convert 158 degrees Celsius to Fahrenheit using the formula $F = \frac{9}{5}C + 32$ .

Convert 166 degrees Celsius to Fahrenheit using the formula $F = \frac{9}{5}C + 32$ .

Find $x$ if $m \angle PQR = x + 9$ , $m \angle SQR = x - 3$ , and $m \angle PQS = 100$ .

Find the perimeter of triangle with vertices at $P(6,4)$ , $Q(-3,1)$ , and $R(9,-5)$ in surd form.

Republica Airlines canceled 416 flights, which is $9.30 \%$ of scheduled flights. How many were originally scheduled? Round to the nearest whole number.

Find the equation of the locus of point $P(x, y)$ such that the distances to points $S(4,6)$ and $R(12,6)$ are equal: $|P S|=|P R|$ .

Calculate the absolute and relative changes for cable TV ( $75 to$ 85.23) and eggs ( $1.80 to$ 2.37).

Sketch an angle $\theta$ with the point $(-6,0)$ on its terminal side. Find the six trig functions of $\theta$ .

A ball is thrown up at $12.5 \mathrm{~m/s}$ . How long until it hits the ground again?

A candy store buys bags of candy with and without nuts. Let $x$ be bags with nuts and $y$ without. Write inequalities for 120 lbs milk and 450 lbs white chocolate, and cost under \$3000.

Determine if the ratio $\frac{y}{r}$ is positive or negative for the point $(x, y)$ in quadrant II, where $r=\sqrt{x^{2}+y^{2}}$ .

Find the measurement accuracy for diameter $d$ given $\Delta l = \alpha * L_0 * \Delta T * d$ and values: $\alpha=0.25*10^2$ , $L_0=0.05$ , $\Delta T=0.020$ , $d=0.05$ .

Una moto alcanza $162.00 \mathrm{~km/h}$ en 30 s. ¿Cuánto tiempo tardará en recorrer 200 m y a qué velocidad lo hará?