Numbers & Operations

Problem 7401

Find f(x)=int(2x)f(x)=\operatorname{int}(2 x) for: (a) f(3.3)f(3.3), (b) f(2.8)f(2.8), (c) f(3.2)f(-3.2).

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Problem 7402

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 7403

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

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Problem 7404

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

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Problem 7405

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

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Problem 7406

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

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Problem 7407

Convert the number 5.7×1075.7 \times 10^{7} to decimal notation.

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Problem 7408

Convert 9.26×1039.26 \times 10^{3} to decimal notation. What is the result?

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Problem 7409

Convert the number 8.5×1018.5 \times 10^{-1} to decimal form. What is it?

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Problem 7410

Convert the number 5.51×1045.51 \times 10^{-4} to decimal notation.

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Problem 7411

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

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Problem 7412

Convert 99 million miles into scientific notation.

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Problem 7413

Convert 0.00052 to scientific notation: 0.00052=0.00052 =

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Problem 7414

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.

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Problem 7415

Convert the number 0.20×1040.20 \times 10^{4} into scientific notation: 0.20×104=×0.20 \times 10^{4}=\square \times.

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Problem 7416

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

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Problem 7417

Express 0.000064 in scientific notation: 0.000064=0.000064 =

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Problem 7418

Compute and express in decimal: (2×108)(2×105)=(2 \times 10^{8})(2 \times 10^{-5}) = \square (Type an integer or decimal.)

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Problem 7419

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)?

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Problem 7420

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

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Problem 7421

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

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Problem 7422

Calculate (9.7×108)(4×106)(9.7 \times 10^{8}) \cdot (4 \times 10^{-6}) and give the answer in decimal form.

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Problem 7423

Compute and express in decimal: 12×1074×102\frac{12 \times 10^{7}}{4 \times 10^{2}}

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Problem 7424

Calculate and express in decimal form: 4.4×1072×103\frac{4.4 \times 10^{-7}}{2 \times 10^{-3}}.

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Problem 7425

Convert 0.00040.0004 and 8,000,0008,000,000 to scientific notation, then calculate (0.0004)(8,000,000)(0.0004)(8,000,000) in scientific notation.

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Problem 7426

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

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Problem 7427

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

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Problem 7428

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

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Problem 7429

Convert 0.00040.0004 and 8,000,0008,000,000 to scientific notation and find their product in scientific notation.

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Problem 7430

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 7431

Express 2.36 trillion in scientific notation.

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Problem 7432

Scott weighs 219 lbs and has a blood volume of 8.1qt8.1 \mathrm{qt}. Find the mass of his blood in grams using 1qt=946mL1 \mathrm{qt} = 946 \mathrm{mL}.

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Problem 7433

For a country, find the scientific notation for 2.36 trillion taxes and 316 million population, then calculate tax per citizen.

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Problem 7434

Convert 15.55 trillion to scientific notation.

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Problem 7435

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

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Problem 7436

How many grams of fat are in 3.063.06 lbs of ground beef with 21%21\% fat? (1 lb = 453.59237 g)

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Problem 7437

For a country with a national debt of 15.55 trillion, express it in scientific notation: 1.555×10131.555 \times 10^{13}. Also, express \$70,000 in scientific notation.

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Problem 7438

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 7439

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

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Problem 7440

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 7441

A bottle has 0.068 L0.068 \mathrm{~L} of cough syrup. If 5 mL is taken 4 times daily, how many days until a refill?

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Problem 7442

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 xx: 0.25=x800.25=\frac{x}{80} D. Solve for xx: 0.25=15x0.25=\frac{15}{x}

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Problem 7443

Find the mass of 90,000 oxygen molecules given that one molecule has a mass of 5.3×10235.3 \times 10^{-23} gram. Express in scientific notation.

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Problem 7444

Convert the following metric units: 1) 0.649μL=?mL0.649 \mu \mathrm{L} = ? \mathrm{mL} 2) 55.3km=?m55.3 \mathrm{km} = ? \mathrm{m}

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Problem 7445

Convert temperatures:
1. 79.0F79.0^{\circ} \mathrm{F} to Celsius.
2. 327C327^{\circ} \mathrm{C} to Fahrenheit.
3. 78.3C78.3^{\circ} \mathrm{C} to Kelvin.

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Problem 7446

Mr. Russo exchanged 200 euros for 270 dollars. How many dollars for 300 euros? Use the ratio 270200\frac{270}{200}.

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Problem 7447

Tony wants the best smartphone deal. Compare prices: (a) Store website offers 60%60\% off \749.Whatstheprice?(b)Storehas749. What’s the price? (b) Store has 40\%offplus 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 7448

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?

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Problem 7449

Find the mass of 30,000 oxygen molecules given that one molecule has a mass of 5.3×10235.3 \times 10^{-23} gram. Answer in scientific notation: \square gram.

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Problem 7450

Select << or >> to make this true: -20 ? -13.

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Problem 7451

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

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Problem 7452

Select either << or >> to make the statement true: -20 ? -13. Choose the correct answer.

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Problem 7453

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 7454

Find the least common multiple (LCM) of 84 and 36. The LCM is $$.

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Problem 7455

Convert the fraction 18\frac{1}{8} to a decimal. What is 18=\frac{1}{8}=?

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Problem 7456

Calculate 43 4^{3} . What is the value?

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Problem 7457

Calculate the decimal value of 8.4×1074×104\frac{8.4 \times 10^{-7}}{4 \times 10^{-4}}.

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Problem 7458

Calculate: 712÷(412518)7 \frac{1}{2} \div (4 \frac{1}{2} - 5 \frac{1}{8}) equals what?

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Problem 7459

Convert 0.00014 to scientific notation. 0.00014=a×10b0.00014 = a \times 10^b (use multiplication symbol as needed).

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Problem 7460

Solve: 712÷(412518)=7 \frac{1}{2} \div (4 \frac{1}{2} - 5 \frac{1}{8}) = \square with options: 41116-4 \frac{11}{16}, 12, 12-12, 411164 \frac{11}{16}.

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Problem 7461

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 7462

Find the greatest common divisor of 70 and 385. What is it? (Type a whole number.)

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Problem 7463

Write 0.225 as a fraction.

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Problem 7464

Find a counterexample to show that the sum of two five-digit numbers can be a five-digit number.

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Problem 7465

Calculate: 712÷(412518)=?7 \frac{1}{2} \div (4 \frac{1}{2} - 5 \frac{1}{8}) = ? Options: 41116,12,12,41116-4 \frac{11}{16}, 12, -12, 4 \frac{11}{16}.

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Problem 7466

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

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Problem 7467

Estimate the sum of 6.86+2.11+19.336.86 + 2.11 + 19.33 by rounding to the nearest integer. Compare the estimate with the actual sum.

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Problem 7468

Estimate the product of 20.17×2.520.17 \times 2.5 by rounding for easy calculation, then compare it to the actual answer.

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Problem 7469

Estimate the product of 20.23×8.520.23 \times 8.5 by rounding. Compare your estimate to the actual answer. What is your estimate?

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Problem 7470

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 7471

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 7472

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 7473

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

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Problem 7474

Convert 2.93dg2.93 \, \text{dg} and 0.0481μg0.0481 \, \mu \text{g} to grams.

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Problem 7475

Count the significant figures in these values: 0.052000, 0.05, 10590, 3000, 2300, 0.0090, 7.000.

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Problem 7476

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

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Problem 7477

Identify the measurements with three significant figures: 395, 500, 0.00100, 0.001, 1.00×1031.00 \times 10^{-3}, 5.0×1025.0 \times 10^{2}.

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Problem 7478

Round the following calculations to the correct significant figures:
1. 23.723.37\frac{23.72}{3.37}
2. 9+2.80.135+10.69 + 2.8 - 0.135 + 10.6
3. (23.723.37)+4.4\left(\frac{23.72}{3.37}\right) + 4.4

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Problem 7479

Find the prime factorization of 36, using exponents for repeated factors. What is it?

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Problem 7480

Find the GCD of 42 and 105. The GCD of 42 and 105 is (Type a whole number.)

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Problem 7481

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

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Problem 7482

Find the value of the expression using order of operations: 5248÷42×4115^{2}-48 \div 4^{2} \times 4-11.

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Problem 7483

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 7484

Calculate the expression using order of operations: 192(7171)=-1|-92-(-71-71)|=\square (Simplify your answer.)

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Problem 7485

Write 0.275 as a fraction.

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Problem 7486

Calcula: 2(811)+4(51)+2(68)=2(8-11)+4(5-1)+2(6-8)=

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Problem 7487

Find the decimal form of 7099\frac{70}{99}. Choose the correct option: A. 0.700 . \overline{70} B. 70.7070 . \overline{70} C. 99.7099 . \overline{70} D. 0.70

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Problem 7488

A will states that 12\frac{1}{2} of the estate goes to relatives. What fraction goes to Charity A from the remaining estate?

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Problem 7489

Calcula la suma: 1214+18116=\frac{1}{2}-\frac{1}{4}+\frac{1}{8}-\frac{1}{16}=

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Problem 7490

Convert the number 9.04×1059.04 \times 10^{-5} to decimal notation. What is it?

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Problem 7491

Write 239,000 in scientific notation: 239,000=239,000 =

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Problem 7492

Calculate (3.1×103)(4×104)(3.1 \times 10^{3}) \cdot (4 \times 10^{-4}) and give the answer in decimal form.

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Problem 7493

Divide 90000 by 0.003 and write the answer in decimal form.

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Problem 7494

Complete the table with energy content in calories, kilocalories, and kilojoules, ensuring correct significant digits.
a small apple: 1.25×1051.25 \times 10^{5} cal, \square kcal, \square kJ a cup of cooked white rice: \square cal, 225. kcal, \square kJ an ear of cooked corn: \square cal, \square kcal, 356. kJ

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Problem 7495

Estimate the number of bananas purchased in a year if 130 bananas are bought per second. Use 3.2×1073.2 \times 10^{7} seconds/year.

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Problem 7496

Multiply 43 by 12. What is the result?

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Problem 7497

Calculate 97×5497 \times 54.

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Problem 7498

Calculate 38+14\frac{3}{8}+\frac{1}{4}.

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Problem 7499

Calculate the result of 79218\frac{7}{9}-\frac{2}{18}.

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Problem 7500

Calculate and round 44.24^{4.2} to three decimal places using a calculator.

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