Word Problems

Problem 4801

Determine the ingredient amounts to make 8 brownies from the list for 16 brownies. How much butter is needed?

See Solution

Problem 4802

How much of each ingredient is needed to make 8 brownies from the list for 16 brownies?
Ingredients: - $\frac{1}{3}$ cup butter - 3 ounces unsweetened chocolate - $\frac{3}{4}$ cups sugar - $1 \frac{1}{2}$ teaspoons vanilla - 2 eggs - $\frac{2}{3}$ cup flour
Find the amount of butter needed.

See Solution

Problem 4803

How much of each ingredient is needed to make 8 brownies if the original recipe makes 16? Use $\frac{1}{3}$ cup butter, 8 oz chocolate, $\frac{3}{4}$ cup sugar, $1 \frac{1}{2}$ tsp vanilla, 2 eggs, $\frac{2}{3}$ cup flour, and find $\frac{1}{6}$ cup butter needed.

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Problem 4804

A person needs to know how many liters of water for a 15 km walk in Death Valley, needing 1 quart per 2 miles.

See Solution

Problem 4805

What percentage of the 1,994,317 females born in 2000 are named Emily if 25,952 are named Emily? Calculate: $\frac{25,952}{1,994,317} \times 100$ .

See Solution

Problem 4806

To make 8 brownies from a recipe for 16, calculate ingredient amounts needed. Find butter: $\frac{1}{6}$ cup, chocolate: ? ounces.

See Solution

Problem 4807

Calculate the Elixophyllin® dose in mg for a 115-lb person, given the dose is $6.00 \mathrm{mg} / \mathrm{kg}$ .

See Solution

Problem 4808

How much of each ingredient is needed to make 8 brownies from the list for 16 brownies?
Ingredients for 16 brownies: - $\frac{1}{3}$ cup butter - 3 ounces unsweetened chocolate - $\frac{3}{4}$ cups sugar - $1 \frac{1}{2}$ teaspoons vanilla - 2 eggs - $\frac{2}{3}$ cup flour

See Solution

Problem 4809

Find the ingredient amounts to make 8 brownies from the following for 16 brownies:
- $\frac{1}{3}$ cup butter - 3 oz chocolate - $\frac{3}{4}$ cup sugar - $1 \frac{1}{2}$ tsp vanilla - 2 eggs - $\frac{2}{3}$ cup flour.
Provide simplified quantities.

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Problem 4810

Identify the pair of elements in the same period: Zinc & Nitrogen, Potassium & Sodium, Boron & Carbon, Lithium & Magnesium.

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Problem 4811

With 1 cup of butter, how many brownies can you make from the ingredients for 16 brownies? (Answer as a whole number.)

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Problem 4812

A franchise is owned by three people. If the first owns $\frac{1}{3}$ and the second $\frac{3}{7}$ , what fraction does the third own?

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Problem 4813

Identify the element with 18 protons and 8 valence electrons: atomic mass 18, highly reactive, metal, or stable?

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Problem 4814

What fraction of the estate goes to Charity A if $\frac{1}{6}$ is for relatives and $\frac{1}{2}$ of the rest is for Charity A?

See Solution

Problem 4815

What makes sodium ( $\mathrm{Na}$ ) highly reactive? Options: non-metal, 11 protons, atomic mass 22.990, or 1 valence electron?

See Solution

Problem 4816

The map's scale is 1 inch = 16 miles. If the distance is $2 \frac{3}{4}$ inches, how many miles apart are the cities?

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Problem 4817

Identify the atom with four valence electrons that is shiny and has both metallic and nonmetallic properties: B, Sb, Sn, or Ge.

See Solution

Problem 4818

What fraction of 1900 men actively tried to reduce stress if 684 did? Express as a fraction: $\frac{684}{1900}$ .

See Solution

Problem 4819

Gas company charges: (a) Cost for 30 therms? (b) Cost for 200 therms? (c) Model function $C(x)$ . (d) Graph $C(x)$ .

See Solution

Problem 4820

Find the charges for using 30 and 200 therms, and create a function $C(x)$ for the monthly charge.

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Problem 4821

Convert 531,000 into scientific notation: $531,000 =$ (Use the multiplication symbol if needed.)

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Problem 4822

Convert 99 million miles into scientific notation.

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Problem 4823

Find two numbers where their sum is 17 and one is 3 less than $\frac{2}{3}$ of the other. What is the lesser number?

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Problem 4824

Is the statement "A trillion is one followed by 12 zeros" true or false? If false, correct it. Options: A. 9 zeros, B. 3 zeros, C. True, D. 6 zeros.

See Solution

Problem 4825

What inequality represents the number of people, $p$ , that can sit in a 320-seat auditorium? Options: $p < 321$ , $p > 320$ , $p < 319$ , $p > 319$ .

See Solution

Problem 4826

What percentage of the 13,955,000 Asians age 25+ in the U.S. have at least a bachelor's degree (8,107,000)?

See Solution

Problem 4827

A mouthwash is 39.3% ethanol by mass. How many kg of ethanol are in 122 bottles (0.935 pt each, density 0.879 g/mL)?

See Solution

Problem 4828

Calculate Sam Hall's September FICA taxes based on his earnings and tax rates. Include Social Security and Medicare deductions.

See Solution

Problem 4829

Calculate Eric Diaz's FICA taxes for August with earnings of \$8600, considering Social Security and Medicare rates.

See Solution

Problem 4830

How many people age 25 and over are in the U.S. if 79,816,000 have a bachelor's degree, which is $36\%$ of the total?

See Solution

Problem 4831

Terri's function machine gives outputs: 3 → 8, 10 → 29, 20 → 59. Find outputs for 5, -1, and $x$ ; also, write the equation.

See Solution

Problem 4832

Convert $0.0004$ and $8,000,000$ to scientific notation, then calculate $(0.0004)(8,000,000)$ in scientific notation.

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Problem 4833

Find a function with the same $y$ -intercept as $y=\frac{2}{3} x-3$ .

See Solution

Problem 4834

Convert Greg's weight of $331-\mathrm{lb}$ to grams. Include the unit symbol in your answer.

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Problem 4835

Scott weighs 335 lbs and has 6.3 qt of blood. If blood density is $1.21 \mathrm{~g} / \mathrm{mL}$ , find his blood mass in kg.

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Problem 4836

Find the function with the same $y$ -intercept as $y=\frac{2}{3} x-3$ . Options: $x+4y=12$ , $\frac{2}{3}x+3y=-3$ , $6x-7y=21$ , $-\frac{2}{3}x+3y=6$ .

See Solution

Problem 4837

Calculate the amount owed after 7 years on a \ $2200 loan at a continuous interest rate of$ 9\%$. Round to the nearest cent.

See Solution

Problem 4838

What is the rate of women who didn't complete $9^{\text {th }}$ grade per 100,000, given 4,421,000 out of $129,262,000$ ?

See Solution

Problem 4839

Yolanda deposited \$1000 at 2% and \$3000 at 7%. Find total interest earned in 1 year and percent interest on total.
(a) Total interest: \$\square (b) Percent interest: \%

See Solution

Problem 4840

Of the 121,301,000 men in the U.S., 3.38% didn't finish 9th grade. How many men is this?

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Problem 4841

The equation for Rodolpho's gas card balance after $t$ weeks is: $B(t) = 140 - 35t$ .

See Solution

Problem 4842

Scott weighs 219 lbs and has a blood volume of $8.1 \mathrm{qt}$ . Find the mass of his blood in grams using $1 \mathrm{qt} = 946 \mathrm{mL}$ .

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Problem 4843

In 2014, taxes were \$2.36 trillion and population was 316 million. Find tax per citizen in scientific notation.

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Problem 4844

How many grams of fat are in $3.06$ lbs of ground beef with $21\%$ fat? (1 lb = 453.59237 g)

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Problem 4845

For a country with a national debt of 15.55 trillion, express it in scientific notation: $1.555 \times 10^{13}$ . Also, express \$70,000 in scientific notation.

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Problem 4846

Find the scientific notation for 15.55 trillion and \$70,000, then calculate how many citizens can get free college education.

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Problem 4847

How many tablets of Synthroid (50 mcg each) are needed for a dosage of 0.114 mg?

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Problem 4848

Calculate the total candy bars bought in a year if 130 are purchased per second. Express your answer in scientific notation.

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Problem 4849

A bottle has $0.068 \mathrm{~L}$ of cough syrup. If 5 mL is taken 4 times daily, how many days until a refill?

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Problem 4850

Warm-Up:
A. 30 out of 120 people refused to answer. What percentage is that? B. If 150 people refused to answer, how many were contacted if one third refused? C. Solve for $x$ : $0.25=\frac{x}{80}$ D. Solve for $x$ : $0.25=\frac{15}{x}$

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Problem 4851

Find the mass of 90,000 oxygen molecules given that one molecule has a mass of $5.3 \times 10^{-23}$ gram. Express in scientific notation.

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Problem 4852

Convert the following metric units: 1) $0.649 \mu \mathrm{L} = ? \mathrm{mL}$ 2) $55.3 \mathrm{km} = ? \mathrm{m}$

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Problem 4853

Convert temperatures:
1. $79.0^{\circ} \mathrm{F}$ to Celsius.
2. $327^{\circ} \mathrm{C}$ to Fahrenheit.
3. $78.3^{\circ} \mathrm{C}$ to Kelvin.

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Problem 4854

Find the area of a triangle with vertices at (2,3), (2,-5), and (6,1) using the formula: Area = $\frac{1}{2} | x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2) |$ .

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Problem 4855

Find the area of the parallelogram with vertices at (-4,-5), (3,-3), (-4,-9), (3,-7).

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Problem 4856

Mr. Russo exchanged 200 euros for 270 dollars. How many dollars for 300 euros? Use the ratio $\frac{270}{200}$ .

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Problem 4857

Find the week $x$ when a company produces 128 turtle necklaces, given the equation $2^{x}=128$ .

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Problem 4858

Tony wants the best smartphone deal. Compare prices: (a) Store website offers $60\%$ off \ $749. What’s the price? (b) Store has$ 40\% $off plus$ 20\%$ off the sale price. What’s the price? (c) Who pays more: website, store, or the same?

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Problem 4859

Donna wants a handbag priced at \$459. Calculate costs from two sellers and determine the better deal.
(a) Distributor marks up 50%. What’s the price?
(b) Boutique marks up 20% then 30%. What’s the price?
(c) Which is cheaper: distributor, boutique, or the same?

See Solution

Problem 4860

Calculate the area of the triangle with vertices at (-4,1), (-6,-3), and (5,-3) using the formula: Area = $\frac{1}{2} |x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2|$ .

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Problem 4861

Find the mass of 30,000 oxygen molecules given that one molecule has a mass of $5.3 \times 10^{-23}$ gram. Answer in scientific notation: $\square$ gram.

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Problem 4862

Joe compares refrigerator prices: (a) Dept store: 50% markup, 20% discount. (b) Superstore: 30% markup. Which is cheaper?

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Problem 4863

Find the area of the parallelogram with vertices at (-6,9), (-3,1), (1,9), and (4,1).

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Problem 4864

A student earns \$12/hour, with time and a half for hours over 40. What is total pay for 42 hours worked?

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Problem 4865

Which function's graph is $y=\frac{1}{x}$ shifted right 5 units and up 2 units? $y=\frac{1}{x+5}+2$

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Problem 4866

Convert 0.00014 to scientific notation. $0.00014 = a \times 10^b$ (use multiplication symbol as needed).

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Problem 4867

Find a four-digit natural number divisible by 4 but not by 8. Options: A. 1826 B. 2120 C. 2122 D. 4049 E. 1144 F. 1020

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Problem 4868

Find the elevation difference between a mountain at 18,781 feet and a valley at -178 feet.

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Problem 4869

Estimate the sum of $6.86 + 2.11 + 19.33$ by rounding to the nearest integer. Compare the estimate with the actual sum.

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Problem 4870

Estimate the product of $20.17 \times 2.5$ by rounding for easy calculation, then compare it to the actual answer.

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Problem 4871

Estimate the product of $20.23 \times 8.5$ by rounding. Compare your estimate to the actual answer. What is your estimate?

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Problem 4872

Calculators cost \$85 per dozen and sell for \$25 for three. Find profit on six dozen calculators: profit is \$\square.

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Problem 4873

Estimate the total cost of six grocery items priced at \$10.92, \$11.83, \$0.12, \$7.64, \$0.77, and \$13.45 by rounding. Total estimate: \$\square.

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Problem 4874

You rent 6 DVDs for a month. Calculate if Option C's \$15.99 streaming is cheaper than renting at \$1.45/night.

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Problem 4875

Convert 5.31 L to deciliters. Use the conversion: 1 L = 10 dL.

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Problem 4876

A car was bought for \$25,000 and is worth \$2800 after 6 years. Find its value at the end of year 3 assuming steady depreciation.

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Problem 4877

Convert $2.93 \, \text{dg}$ and $0.0481 \, \mu \text{g}$ to grams.

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Problem 4878

Check if 8248 is divisible by 2, 3, 4, 5, 6, 8, 9, 10, 12 using divisibility rules.

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Problem 4879

Identify the measurements with three significant figures: 395, 500, 0.00100, 0.001, $1.00 \times 10^{-3}$ , $5.0 \times 10^{2}$ .

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Problem 4880

Find the LCM of 126 and 36. The least common multiple is $LCM(126, 36)$ .

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Problem 4881

Find the elevation difference between a mountain at 19,290 feet and a valley at 352 feet below sea level.

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Problem 4882

A will states that $\frac{1}{2}$ of the estate goes to relatives. What fraction goes to Charity A from the remaining estate?

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Problem 4883

Omar needs to find $\cos \left(-\frac{2 \pi}{3}\right)$ . Use the reference angle and quadrant info to solve.

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Problem 4884

Estimate the number of bananas purchased in a year if 130 bananas are bought per second. Use $3.2 \times 10^{7}$ seconds/year.

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Problem 4885

Find the discriminant of the equations: 83. $x^{2}-4x-5=0$ and 84. $4x^{2}-2x+3=0$ . What does it reveal about solutions?

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Problem 4886

The ticket cost for Riverdance is \$40 each.
(a) Define cost function $C(x)$ for $x$ tickets. (b) Write total cost $T(a)$ with 3.5% tax and \ $6 fee. (c) Evaluate$ (T \circ C)(x) $. (d) Find$ (T \circ C)(4)$ and explain its meaning.

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Problem 4887

Find the drug amount $D(h)=7 e^{-0.4 h}$ in mg after 5 hours. Options: $5.51$ , $0.3$ , $51.72$ , $0.95$ .

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Problem 4888

Invest \$6000 at 4\% for 5 years, compounded semiannually. Find the amount after 5 years (round to nearest cent).

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Problem 4889

How many bacteria are there on day 8 if the population doubles daily with the formula $N(t)=2(2)^{t}$ ?

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Problem 4890

Find the median yearly salary of Americans with a master's and a bachelor's degree, given the conditions on their earnings.

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Problem 4891

A company makes products A and B with constraints: $x \leq 2y + 500$ and $\sqrt{35x + 50y} > 22,500$ . What are the inequalities?

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Problem 4892

Find how many times greater the max speed of a giraffe ( $L=6$ ft) is than a hippo ( $L=3$ ft) using $S=\sqrt{g L}$ with $g=32$ .

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Problem 4893

Calculate the savings after 5 years for an initial deposit of \ $3000 at a 6.5% quarterly compounded interest. Use:$ A=P\left(1+\frac{r}{n}\right)^{nt}$.

See Solution

Problem 4894

Laura borrows \ $2500 at 10% interest, compounded monthly. Find the amount owed after 5 years using$ A=P\left(1+\frac{r}{n}\right)^{nt}$.

See Solution

Problem 4895

Find the slope-intercept equation of a line through $(3,7)$ parallel to $y=\frac{3}{5}x+4$ , then for the perpendicular line.

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Problem 4896

Model the egg production data with a linear function using points (1994, 51.7) and (1998, 60.4). Predict production in 2000.

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Problem 4897

A truck drives at $60 \mathrm{mph}$ . A car enters 9 minutes later at $70 \mathrm{mph}$ . How long until the car passes the truck?

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Problem 4898

Find when the costs of renting a rug cleaner from Company A: \$22 + \$6h and Company B: \$28 + \$4h are equal.

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Problem 4899

Find the dealer's cost of a calculator sold for \$15 with a 25% markup on cost.

See Solution

Problem 4900

How many pairwise comparisons are needed to find a winner among 3 candidates? (Type an integer.)

See Solution

1 ...46 47 48 49 50 51 52 ...101

Word Problems

Problem 4801

Determine the ingredient amounts to make 8 brownies from the list for 16 brownies. How much butter is needed?

Problem 4802

Problem 4803

How much of each ingredient is needed to make 8 brownies if the original recipe makes 16? Use 13\frac{1}{3}31​ cup butter, 8 oz chocolate, 34\frac{3}{4}43​ cup sugar, 1121 \frac{1}{2}121​ tsp vanilla, 2 eggs, 23\frac{2}{3}32​ cup flour, and find 16\frac{1}{6}61​ cup butter needed.

Problem 4804

A person needs to know how many liters of water for a 15 km walk in Death Valley, needing 1 quart per 2 miles.

Problem 4805

What percentage of the 1,994,317 females born in 2000 are named Emily if 25,952 are named Emily? Calculate: 25,9521,994,317×100\frac{25,952}{1,994,317} \times 1001,994,31725,952​×100.

Problem 4806

To make 8 brownies from a recipe for 16, calculate ingredient amounts needed. Find butter: 16\frac{1}{6}61​ cup, chocolate: ? ounces.

Problem 4807

Calculate the Elixophyllin® dose in mg for a 115-lb person, given the dose is 6.00mg/kg6.00 \mathrm{mg} / \mathrm{kg}6.00mg/kg.

Problem 4808

How much of each ingredient is needed to make 8 brownies from the list for 16 brownies? Ingredients for 16 brownies: - 13\frac{1}{3}31​ cup butter - 3 ounces unsweetened chocolate - 34\frac{3}{4}43​ cups sugar - 1121 \frac{1}{2}121​ teaspoons vanilla - 2 eggs - 23\frac{2}{3}32​ cup flour

Problem 4809

Find the ingredient amounts to make 8 brownies from the following for 16 brownies: - 13\frac{1}{3}31​ cup butter - 3 oz chocolate - 34\frac{3}{4}43​ cup sugar - 1121 \frac{1}{2}121​ tsp vanilla - 2 eggs - 23\frac{2}{3}32​ cup flour. Provide simplified quantities.

Problem 4810

Identify the pair of elements in the same period: Zinc & Nitrogen, Potassium & Sodium, Boron & Carbon, Lithium & Magnesium.

Problem 4811

With 1 cup of butter, how many brownies can you make from the ingredients for 16 brownies? (Answer as a whole number.)

Problem 4812

A franchise is owned by three people. If the first owns 13\frac{1}{3}31​ and the second 37\frac{3}{7}73​, what fraction does the third own?

Problem 4813

Identify the element with 18 protons and 8 valence electrons: atomic mass 18, highly reactive, metal, or stable?

Problem 4814

What fraction of the estate goes to Charity A if 16\frac{1}{6}61​ is for relatives and 12\frac{1}{2}21​ of the rest is for Charity A?

Problem 4815

What makes sodium (Na\mathrm{Na}Na) highly reactive? Options: non-metal, 11 protons, atomic mass 22.990, or 1 valence electron?

Problem 4816

The map's scale is 1 inch = 16 miles. If the distance is 2342 \frac{3}{4}243​ inches, how many miles apart are the cities?

Problem 4817

Identify the atom with four valence electrons that is shiny and has both metallic and nonmetallic properties: B, Sb, Sn, or Ge.

Problem 4818

What fraction of 1900 men actively tried to reduce stress if 684 did? Express as a fraction: 6841900\frac{684}{1900}1900684​.

Problem 4819

Gas company charges: (a) Cost for 30 therms? (b) Cost for 200 therms? (c) Model function C(x)C(x)C(x). (d) Graph C(x)C(x)C(x).

Problem 4820

Find the charges for using 30 and 200 therms, and create a function C(x)C(x)C(x) for the monthly charge.

Problem 4821

Convert 531,000 into scientific notation: 531,000= 531,000 = 531,000= (Use the multiplication symbol if needed.)

Problem 4822

Convert 99 million miles into scientific notation.

Problem 4823

Find two numbers where their sum is 17 and one is 3 less than 23\frac{2}{3}32​ of the other. What is the lesser number?

Problem 4824

Is the statement "A trillion is one followed by 12 zeros" true or false? If false, correct it. Options: A. 9 zeros, B. 3 zeros, C. True, D. 6 zeros.

Problem 4825

What inequality represents the number of people, ppp, that can sit in a 320-seat auditorium? Options: p<321p < 321p<321, p>320p > 320p>320, p<319p < 319p<319, p>319p > 319p>319.

Problem 4826

What percentage of the 13,955,000 Asians age 25+ in the U.S. have at least a bachelor's degree (8,107,000)?

Problem 4827

A mouthwash is 39.3% ethanol by mass. How many kg of ethanol are in 122 bottles (0.935 pt each, density 0.879 g/mL)?

Problem 4828

Calculate Sam Hall's September FICA taxes based on his earnings and tax rates. Include Social Security and Medicare deductions.

Problem 4829

Calculate Eric Diaz's FICA taxes for August with earnings of \$8600, considering Social Security and Medicare rates.

Problem 4830

How many people age 25 and over are in the U.S. if 79,816,000 have a bachelor's degree, which is 36%36\%36% of the total?

Problem 4831

Terri's function machine gives outputs: 3 → 8, 10 → 29, 20 → 59. Find outputs for 5, -1, and xxx; also, write the equation.

Problem 4832

Convert 0.00040.00040.0004 and 8,000,0008,000,0008,000,000 to scientific notation, then calculate (0.0004)(8,000,000)(0.0004)(8,000,000)(0.0004)(8,000,000) in scientific notation.

Problem 4833

Find a function with the same yyy-intercept as y=23x−3y=\frac{2}{3} x-3y=32​x−3.

Problem 4834

Convert Greg's weight of 331−lb331-\mathrm{lb}331−lb to grams. Include the unit symbol in your answer.

Problem 4835

Scott weighs 335 lbs and has 6.3 qt of blood. If blood density is 1.21 g/mL1.21 \mathrm{~g} / \mathrm{mL}1.21 g/mL, find his blood mass in kg.

Problem 4836

Find the function with the same yyy-intercept as y=23x−3y=\frac{2}{3} x-3y=32​x−3. Options: x+4y=12x+4y=12x+4y=12, 23x+3y=−3\frac{2}{3}x+3y=-332​x+3y=−3, 6x−7y=216x-7y=216x−7y=21, −23x+3y=6-\frac{2}{3}x+3y=6−32​x+3y=6.

Problem 4837

Calculate the amount owed after 7 years on a \2200loanatacontinuousinterestrateof2200 loan at a continuous interest rate of 2200loanatacontinuousinterestrateof9\%$. Round to the nearest cent.

Problem 4838

What is the rate of women who didn't complete 9th 9^{\text {th }}9th grade per 100,000, given 4,421,000 out of 129,262,000129,262,000129,262,000?

Problem 4839

Yolanda deposited \$1000 at 2% and \$3000 at 7%. Find total interest earned in 1 year and percent interest on total. (a) Total interest: \$\square (b) Percent interest: \%

Problem 4840

Of the 121,301,000 men in the U.S., 3.38% didn't finish 9th grade. How many men is this?

How much of each ingredient is needed to make 8 brownies if the original recipe makes 16? Use $\frac{1}{3}$ cup butter, 8 oz chocolate, $\frac{3}{4}$ cup sugar, $1 \frac{1}{2}$ tsp vanilla, 2 eggs, $\frac{2}{3}$ cup flour, and find $\frac{1}{6}$ cup butter needed.

What percentage of the 1,994,317 females born in 2000 are named Emily if 25,952 are named Emily? Calculate: $\frac{25,952}{1,994,317} \times 100$ .

To make 8 brownies from a recipe for 16, calculate ingredient amounts needed. Find butter: $\frac{1}{6}$ cup, chocolate: ? ounces.

Calculate the Elixophyllin® dose in mg for a 115-lb person, given the dose is $6.00 \mathrm{mg} / \mathrm{kg}$ .

How much of each ingredient is needed to make 8 brownies from the list for 16 brownies?
Ingredients for 16 brownies: - $\frac{1}{3}$ cup butter - 3 ounces unsweetened chocolate - $\frac{3}{4}$ cups sugar - $1 \frac{1}{2}$ teaspoons vanilla - 2 eggs - $\frac{2}{3}$ cup flour

Find the ingredient amounts to make 8 brownies from the following for 16 brownies:
- $\frac{1}{3}$ cup butter - 3 oz chocolate - $\frac{3}{4}$ cup sugar - $1 \frac{1}{2}$ tsp vanilla - 2 eggs - $\frac{2}{3}$ cup flour.
Provide simplified quantities.

A franchise is owned by three people. If the first owns $\frac{1}{3}$ and the second $\frac{3}{7}$ , what fraction does the third own?

What fraction of the estate goes to Charity A if $\frac{1}{6}$ is for relatives and $\frac{1}{2}$ of the rest is for Charity A?

What makes sodium ( $\mathrm{Na}$ ) highly reactive? Options: non-metal, 11 protons, atomic mass 22.990, or 1 valence electron?

The map's scale is 1 inch = 16 miles. If the distance is $2 \frac{3}{4}$ inches, how many miles apart are the cities?

What fraction of 1900 men actively tried to reduce stress if 684 did? Express as a fraction: $\frac{684}{1900}$ .

Gas company charges: (a) Cost for 30 therms? (b) Cost for 200 therms? (c) Model function $C(x)$ . (d) Graph $C(x)$ .

Find the charges for using 30 and 200 therms, and create a function $C(x)$ for the monthly charge.

Convert 531,000 into scientific notation: $531,000 =$ (Use the multiplication symbol if needed.)

Find two numbers where their sum is 17 and one is 3 less than $\frac{2}{3}$ of the other. What is the lesser number?

What inequality represents the number of people, $p$ , that can sit in a 320-seat auditorium? Options: $p < 321$ , $p > 320$ , $p < 319$ , $p > 319$ .

How many people age 25 and over are in the U.S. if 79,816,000 have a bachelor's degree, which is $36\%$ of the total?

Terri's function machine gives outputs: 3 → 8, 10 → 29, 20 → 59. Find outputs for 5, -1, and $x$ ; also, write the equation.

Convert $0.0004$ and $8,000,000$ to scientific notation, then calculate $(0.0004)(8,000,000)$ in scientific notation.

Find a function with the same $y$ -intercept as $y=\frac{2}{3} x-3$ .

Convert Greg's weight of $331-\mathrm{lb}$ to grams. Include the unit symbol in your answer.

Scott weighs 335 lbs and has 6.3 qt of blood. If blood density is $1.21 \mathrm{~g} / \mathrm{mL}$ , find his blood mass in kg.

Find the function with the same $y$ -intercept as $y=\frac{2}{3} x-3$ . Options: $x+4y=12$ , $\frac{2}{3}x+3y=-3$ , $6x-7y=21$ , $-\frac{2}{3}x+3y=6$ .

Calculate the amount owed after 7 years on a \ $2200 loan at a continuous interest rate of$ 9\%$. Round to the nearest cent.

What is the rate of women who didn't complete $9^{\text {th }}$ grade per 100,000, given 4,421,000 out of $129,262,000$ ?

Yolanda deposited \$1000 at 2% and \$3000 at 7%. Find total interest earned in 1 year and percent interest on total.
(a) Total interest: \$\square (b) Percent interest: \%

The equation for Rodolpho's gas card balance after $t$ weeks is: $B(t) = 140 - 35t$ .

Scott weighs 219 lbs and has a blood volume of $8.1 \mathrm{qt}$ . Find the mass of his blood in grams using $1 \mathrm{qt} = 946 \mathrm{mL}$ .

How many grams of fat are in $3.06$ lbs of ground beef with $21\%$ fat? (1 lb = 453.59237 g)

For a country with a national debt of 15.55 trillion, express it in scientific notation: $1.555 \times 10^{13}$ . Also, express \$70,000 in scientific notation.

A bottle has $0.068 \mathrm{~L}$ of cough syrup. If 5 mL is taken 4 times daily, how many days until a refill?

Warm-Up:
A. 30 out of 120 people refused to answer. What percentage is that? B. If 150 people refused to answer, how many were contacted if one third refused? C. Solve for $x$ : $0.25=\frac{x}{80}$ D. Solve for $x$ : $0.25=\frac{15}{x}$

Find the mass of 90,000 oxygen molecules given that one molecule has a mass of $5.3 \times 10^{-23}$ gram. Express in scientific notation.

Convert the following metric units: 1) $0.649 \mu \mathrm{L} = ? \mathrm{mL}$ 2) $55.3 \mathrm{km} = ? \mathrm{m}$

Convert temperatures:
1. $79.0^{\circ} \mathrm{F}$ to Celsius.
2. $327^{\circ} \mathrm{C}$ to Fahrenheit.
3. $78.3^{\circ} \mathrm{C}$ to Kelvin.

Find the area of a triangle with vertices at (2,3), (2,-5), and (6,1) using the formula: Area = $\frac{1}{2} | x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2) |$ .

Mr. Russo exchanged 200 euros for 270 dollars. How many dollars for 300 euros? Use the ratio $\frac{270}{200}$ .

Find the week $x$ when a company produces 128 turtle necklaces, given the equation $2^{x}=128$ .

Donna wants a handbag priced at \$459. Calculate costs from two sellers and determine the better deal.
(a) Distributor marks up 50%. What’s the price?
(b) Boutique marks up 20% then 30%. What’s the price?
(c) Which is cheaper: distributor, boutique, or the same?

Calculate the area of the triangle with vertices at (-4,1), (-6,-3), and (5,-3) using the formula: Area = $\frac{1}{2} |x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2|$ .

Find the mass of 30,000 oxygen molecules given that one molecule has a mass of $5.3 \times 10^{-23}$ gram. Answer in scientific notation: $\square$ gram.

Which function's graph is $y=\frac{1}{x}$ shifted right 5 units and up 2 units? $y=\frac{1}{x+5}+2$

Convert 0.00014 to scientific notation. $0.00014 = a \times 10^b$ (use multiplication symbol as needed).

Estimate the sum of $6.86 + 2.11 + 19.33$ by rounding to the nearest integer. Compare the estimate with the actual sum.

Estimate the product of $20.17 \times 2.5$ by rounding for easy calculation, then compare it to the actual answer.

Estimate the product of $20.23 \times 8.5$ by rounding. Compare your estimate to the actual answer. What is your estimate?