Arithmetic

Problem 401

Simplify the fraction 2.250.75\frac{2.25}{0.75}.

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Problem 402

Find the artist's unit rate, where they can paint 44 paintings in 22 hours.

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Problem 403

Find the difference in cost of 300 cm300 \mathrm{~cm} of ribbon between Shop A and Shop B, given that Shop A charges £1.56 for 120 cm120 \mathrm{~cm} and Shop B charges £1.48 for 185 cm185 \mathrm{~cm}.

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Problem 404

Fill in the blank to make each equation true using the given factors. 2×=25.62 \times \quad=25.6, 4×=25.64 \times \quad=25.6, 8×=25.68 \times \quad=25.6, 16×=25.616 \times \quad=25.6

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Problem 405

Find the third integer if the sum of three consecutive integers is 186 and the first integer is 61.
The first integer is 61. The second integer is 62. The third integer is \square.

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Problem 406

Find the remainder when 26 is divided by 7.

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Problem 407

Subtract the numbers 89.1789.17 and 8.358.35.

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Problem 408

Calculate the product of the difference between 800 and 300 and 20.

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Problem 409

Match operations with their corresponding terms. 1.Additionc.Sum1. \text{Addition} \rightarrow c. \text{Sum}, 2.Multiplicationa.Product2. \text{Multiplication} \rightarrow a. \text{Product}, 3.Subtractiond.Difference3. \text{Subtraction} \rightarrow d. \text{Difference}, 4.Divisionb.Quotient4. \text{Division} \rightarrow b. \text{Quotient}.

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Problem 410

Find unit rates for distances, time, and quantities given in fractions. a) 202.5202.5 miles in 1515 hours b) 8585 feet in 2020 seconds c) 4242 books for 1212 students d) 6565 children from 1313 families

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Problem 411

Evaluate 142\frac{14}{2} with x=3,y=5x=3, y=5. What is the solution? A. 7 B. 2 C. 28

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Problem 412

Evaluate the value of (7)2(-7)^{2}

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Problem 413

Calculate the cost per pound of a 75 oz pasta flour sold for $4.59. Round answer to 2 decimal places.
Step 1: Calculate the cost per ounce. Cost per ounce=$4.5975 oz\text{Cost per ounce} = \frac{\$4.59}{75 \text{ oz}}
Step 2: Convert the cost per ounce to cost per pound. Cost per pound=$4.5975 oz×16 oz/lb\text{Cost per pound} = \frac{\$4.59}{75 \text{ oz}} \times 16 \text{ oz/lb}

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Problem 414

Write a numerical expression to model the problem. Divide 6060 by 55.

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Problem 415

Find the value of a-a when a=2.6a=-2.6.

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Problem 416

Simplify the division 28÷2028 \div 20.

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Problem 417

Which number is not equal to 1,500×101,500 \times 10, 150,000÷100150,000 \div 100, or 1,500÷101,500 \div 10? 1,500, 15,000, 150, 150,000

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Problem 418

Find the value of 12+b12+b when b=4.67b=4.67.

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Problem 419

Find the missing number \square in the equation 2×80=2×8×=16×2 \times 80 = 2 \times 8 \times \square = 16 \times \square.

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Problem 420

Find the output of a function machine with input 8 and rule x+6x + 6.

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Problem 421

Solve for the number of streets each police officer needs to patrol in Squaresville, where there are 25\mathbf{25} streets and 5\mathbf{5} officers.

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Problem 422

Solve a word problem to find the percentage of red pins in a set of red and brown pins.
Solution: Let xx be the total number of pins. Then, the percentage of red pins is 19x×100%\frac{19}{x} \times 100\%.

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Problem 423

Find the values of the following expressions without a calculator, then verify with a scientific calculator: 28+19628+19-6, 10026+15100-26+15, 6×5÷26 \times 5 \div 2, 960÷30×2960 \div 30 \times 2.

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Problem 424

Ein Auto fährt 96 km/h96 \mathrm{~km} / \mathrm{h} für 1.51.5 Stunden. Wie weit ist es gefahren?

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Problem 425

Find the value of 14(675÷q)14 \cdot(675 \div q) for q=15q=15.

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Problem 426

Simplify the expression 4(3116)/34(31-16) / 3.

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Problem 427

Find the missing values in the area model to compute 2×1252 \times 125.

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Problem 428

Evaluate the expression 8×1×638 \times 1 \times 6 - 3.

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Problem 429

Find the value of the expression 1581015-8-10.

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Problem 430

Solve the simple arithmetic expression 945+3945+3.

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Problem 431

Calculate the distance the bus travels between Emmanuel Street and Coleridge Road given its average speed of 23 km/h23 \mathrm{~km} / \mathrm{h} and the stop times.

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Problem 432

Find the number of camels at the safari park, given that there are 12 more kangaroos than camels, 3 times as many meerkats as camels, and the same number of kangaroos and meerkats.
Let xx be the number of camels. Then the number of kangaroos is x+12x + 12 and the number of meerkats is 3x3x. Since the number of kangaroos and meerkats are the same, we have x+12=3xx + 12 = 3x. Solving for xx, we get x=12x = 12.

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Problem 433

Find the fourth number if the average of four numbers is 1515 and the sum of three of the numbers is 5050.

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Problem 434

The property where 5×0=05 \times 0 = 0 is an example of is the multiplicative identity property.

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Problem 435

Find the value of (81)(+18)(-81)-(+18).

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Problem 436

Find the equations where w=100w=100 makes the statement true. Select all that apply. (1 point) 4,086÷w=4.0864,086 \div w=4.086 362.7÷w=3.627362.7 \div w=3.627 21.9÷w=0.21921.9 \div w=0.219

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Problem 437

Evaluate the expression (15)+61216(5)+5×126+10024(-15)+6-12-16-(-5)+5 \times 12-6+100-24.

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Problem 438

Each student receives 3298\frac{329}{8} colored pencils. The remainder is \square.

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Problem 439

Calculate the value of 5% of $38.

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Problem 440

Round 4,8224,822 to the nearest multiple of 100.

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Problem 441

What is the value of 636^{3}?

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Problem 442

Caylan bakes scones (15 min), muffins (12 min), and cookies (10 min) for a charity bake sale. When will he first remove all 3 at the same time? ?? minutes

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Problem 443

What is the sign of 4÷8-4 \div -8? Positive or negative?

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Problem 444

Simplify the expression: 16+6-16+6

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Problem 445

Calculate the commission earned by a saleswoman who sold $400\$400 worth of merchandise with a 30% commission.

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Problem 446

Calculate 5÷35 \div 3 using remainder notation. Compare the result to the mixed number representation. How are they related?

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Problem 447

Subtract the two numbers: 8(8)-8 - (-8).

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Problem 448

Is 363-6 positive or negative?

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Problem 449

Subtract two negative integers to find their difference.
5(4)-5 - (-4)

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Problem 450

Solve for the number of problems left after crossing out one column on a worksheet with 20 math problems divided into 4 equal columns, using the equation 2020÷4=p20-20 \div 4=p.

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Problem 451

Is 25÷5-25 \div -5 positive or negative?

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Problem 452

Divide 2 \longdiv { - 4 }

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Problem 453

Hilary walked 654 feet in 3 minutes. Did she walk 218218 feet per minute? Determine if her answer is reasonable.

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Problem 454

Complete the blank integer expressions: (a) 42=4+-4-2=-4+\square (b) 3=3+5-3-\square=-3+5

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Problem 455

Solve for mm in the equation 30m=600030 m = 6000.

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Problem 456

Who is right about the GCF of 1616 and 1212? Explain the correct GCF.

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Problem 457

Complete the equation and identify the property used. Determine the value of the underlined expression. 8×(14+7)=84+(8×7)8 \times(14+7)=84+(8 \times 7) 7+(8+12)=47+127+(8+12)=\underline{47}+12

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Problem 458

Dr. Potter gave 6060 vaccinations with a total of 184184 doses. Each polio vaccination has 44 doses, and each measles vaccination has 22 doses. Find the number of polio and measles vaccinations given.

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Problem 459

Which paper towel product offers the better value? Product A: $5.16\$ 5.16 for 6 rolls, or Product B: $7.04\$ 7.04 for 8 rolls?

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Problem 460

Is 8,3978,397 divisible by 99? If so, express it as 9×9 \times another factor. If not, explain.

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Problem 461

Find the number that is 40% of 13. Translate to an equation: x=0.4×13x = 0.4 \times 13. Solve for xx.

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Problem 462

Find the value of the unknown in the equation 2.66+x=102.66 + x = 10.

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Problem 463

Find the result of the long division: -4 \longdiv{-248}.

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Problem 464

Find the range of the numbers: 8,4,9,2,38, 4, 9, 2, 3.

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Problem 465

Find the sum of 9898 and 77.

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Problem 466

Solve the equation 3=123=\underline{12} for the unknown value.

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Problem 467

Solve the subtraction problem 3.4821.1863.482 - 1.186 using the subtraction algorithm.

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Problem 468

Perform calculator operations involving change-of-sign key. Find the answers for: 3354÷43+13354 \div 43+1, 567+H+184567+H+184, 178×23+H178 \times 23+H, 57+H92+H57+H-92+H.

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Problem 469

Add 11.2311.23 and 14.21914.219 to find the correct answer.

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Problem 470

Find the smallest of 1/3+0.41/3 + 0.4, 1+2.11 + 2.1, 0.20+0.310.20 + 0.31, and 6/106/10.

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Problem 471

Find the value of ff given the expression f=19.47.86f = 19.4 - 7.86.

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Problem 472

Which of these equal 1212? 726\frac{72}{6}, 726\frac{-72}{-6}

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Problem 473

Find the number of books that can fit on a 271/2271/2 inch shelf, given each book is 1141 \frac{1}{4} inches thick.

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Problem 474

Solve the equation 100+(75)=100+(-75)=\square to find the missing value.

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Problem 475

Find the cost of one shell, given that 20 shells cost $2.99, rounded to the nearest cent.

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Problem 476

Choose two sentences that describe the equation. 3+3+3+3+3=153+3+3+3+3=15 and 5+5+5=155+5+5=15 are equivalent expressions.

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Problem 477

Find the value of the expression 4+(3×6)4 + (3 \times 6).

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Problem 478

Evaluate the following simple multiplication problems: 5×45 \times 4, 2×82 \times 8, 3×6×93 \times 6 \times 9.

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Problem 479

Find the quotient of 105.6÷8105.6 \div 8.

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Problem 480

Find the number that makes the equation true. Choose the correct answer. I. 13+?=42+1913+?=42+19 A. 23 B. 48 C. 38 D. 42 II. 52+24=?+3852+24=?+38 A. 38 B. 42 C. 48 D. 25 III. ?+32=76?+32=76 A. 44 B. 26 C. 44 D. 39 IV. 44+47=?44+47=? A. 87 B. 91 C. 88 D. 95 V. 23+18=4+?23+18=4+? A. 42 B. 39 C. 30 D. 37 VI. 99=?+8199=?+81 A. 30 B. 14 C. 22 D. 18

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Problem 481

Simplify the expression 4.6(0.2+0.3)÷(2)+0.25-4.6(0.2+0.3) \div(-2)+0.25 and give the answer in decimal form.

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Problem 482

Find the common difference of the sequence 8,203,163,4,83,43,8, \frac{20}{3}, \frac{16}{3}, 4, \frac{8}{3}, \frac{4}{3}, \ldots.

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Problem 483

Find the value of nn that satisfies the equation n50=50n \cdot 50 = 50, using properties of multiplication.

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Problem 484

Simplify the following expressions: 3×5(176)3 \times 5 \cdot(17-6), 3×5+113 \times 5+11, vv, and 15+1115+11.

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Problem 485

Evaluate the expression 169\sqrt{16 \cdot 9} or state if it is not a real number.

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Problem 486

Draw a line over the digit in 99.999 with 110\frac{1}{10} the value of the underlined digit. Which is correct?

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Problem 487

Write the number 1.977×1051.977 \times 10^{5} without exponents.

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Problem 488

Mentally add the numbers on each line and type the answer: 5+5+7+5+8+25 + 5 + 7 + 5 + 8 + 2.

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Problem 489

Choose the calculator buttons that can input numbers in standard form, like ×10x\times 10^{x}, SDS \leftrightarrow D, and EEEE.

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Problem 490

Solve 5 place-value subtraction problems using blocks if needed. 450=?45-0=?, 6849=?68-49=?, 8437=?84-37=?, 9933=?99-33=?, 7818=?78-18=?

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Problem 491

Estimate 658.3÷8658.3 \div 8 using 640÷8640 \div 8 or 720÷8720 \div 8. What is the approximate value of 658.3÷8658.3 \div 8?

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Problem 492

Evaluate (2824)!(28-24)! and round to four decimal places if not an integer.

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Problem 493

Complete each blank: a. 18=6:318=6: 3. b. 18:60=3\overline{18: 60}=3. c. :15=2:3\quad: 15=2: 3. d. 90:96=:16\overline{90: 96}=\quad: 16. e. 72:36:120=1272: 36: 120=12.

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Problem 494

Find the inverse operation to verify 2513=1225-13=12.

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Problem 495

Find the value of 23(33)23-(-33).

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Problem 496

Find the difference between two numbers: 7.2647.264 and 0.70.7. (Type the result as a whole number or decimal.)

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Problem 497

The math team divided a set of problems evenly. If each of the 8 teammates got 4 problems, find the total number of math problems in the set. Write a division equation with mm to model the story, then solve for mm.
Division equation: m÷8=4m \div 8 = 4 m=32m = 32

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Problem 498

Evaluate 4a4a when a=7a=7. The value is 2828.

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Problem 499

Simplify the expression 174617-4 \cdot -6 and find the result.

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Problem 500

Find the least number of ounces of 4-ounce and 14-ounce chip packages that result in equal amounts of each package size.

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