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Questions and Answers

A factory makes 3,132 chairs each month. What is the total amount of chairs the factory makes in 9 months?

28,188 chairs

Mr. Diaz bought a board that was 12 feet long. He cut the entire board into pieces that were 1/3 foot long. How many pieces did he have?

36 pieces

Heather drove at a constant rate. She traveled 162 miles in 3 hours. How far did Heather travel in 1 hour?

54 miles in 1 hour

Carmine drove at a constant rate. He traveled 325 miles in 5 hours. How far did Carmine travel in 1 hour?

<p>65 miles in 1 hour</p> Signup and view all the answers

Kevin drove at a constant rate. He traveled 252 miles in 4 hours. How far did Kevin travel in 1 hour?

<p>63 miles in 1 hour</p> Signup and view all the answers

A class of 25 students shares a class set of 100 markers. On a day with 5 students absent, how many markers can each present student get?

<p>5 markers per 1 student</p> Signup and view all the answers

The area of a rectangular patio is 5 5/8 square yards. The length is 1 1/2 yards. What is the width of the patio?

<p>3 3/4 yards</p> Signup and view all the answers

What is 33.8 divided by 32.5?

<p>1.04</p> Signup and view all the answers

What is 34,992 divided by 81?

<p>432</p> Signup and view all the answers

What is the greatest common factor of 16 and 48?

<p>16</p> Signup and view all the answers

What is the sum of 74.835 and 2.67?

<p>77.505</p> Signup and view all the answers

Marshall took $36.75 to a fair. Each ticket into the fair cost x dollars. Marshall bought 3 tickets. Which expression represents the amount of money that Marshall had left after he bought the fair tickets?

<p>$36.75 - 3x</p> Signup and view all the answers

Jon buys a rug with an area of 35/4 sq.m. The length is 7/2 m. What is the width?

<p>5/2 meters</p> Signup and view all the answers

Thomas buys a 36-pack case of water. The case cost $4.69. Thomas will resell the bottles for $0.75 each. How much will he make if he sells out?

<p>$22.31</p> Signup and view all the answers

Which expression represents '6 more than x'?

<p>6 + x</p> Signup and view all the answers

What is the value of (A x A) + 3b / c - 2d, when a=3, b=8, c=2, and d=5?

<p>11</p> Signup and view all the answers

Chad drove 168 miles in 3 hours. How many miles per hour did Chad drive?

<p>56 miles in 1 hour</p> Signup and view all the answers

Chad drove 56 miles in 1 hour. How many hours will it take to drive 672 miles?

<p>12 hours</p> Signup and view all the answers

Chad drives 28 miles per gallon. How many gallons of gas does he need to drive 308 miles?

<p>11 gallons</p> Signup and view all the answers

Chad drives 28 miles per gallon. How many gallons of gas will Chad use to travel 672 miles?

<p>24 gallons</p> Signup and view all the answers

What is 3 + n?

<p>the sum of 3 and n</p> Signup and view all the answers

What is 20% of 30?

<p>6</p> Signup and view all the answers

What is 9 + 24 / 2 - 10?

<p>11</p> Signup and view all the answers

Sharon bought 8 towels and paid $39.50. How much does she pay for each towel?

<p>$4.95</p> Signup and view all the answers

A group of hikers bought 8 bags of mixed nuts. Each bag contains 3 1/2 cups of mixed nuts. The mixed nuts are shared evenly among 12 hikers. How many cups of mixed nuts will each hiker receive?

<p>2 2/7</p> Signup and view all the answers

What is 40% of 36?

<p>14.4</p> Signup and view all the answers

What percent is 24 of 60?

<p>40%</p> Signup and view all the answers

Which expression represents '6 more than x'?

<p>6 + x</p> Signup and view all the answers

$108 is 6% of what purchase price?

<p>$1800</p> Signup and view all the answers

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Study Notes

Chair Production Problem

  • A factory produces 3,132 chairs each month.
  • In 9 months, a total of 28,188 chairs are manufactured.

Board Cutting Problem

  • Mr. Diaz cuts a 12-foot board into 1/3-foot pieces.
  • Total pieces obtained: 36.

Travel Rate Calculations

  • Heather travels 162 miles in 3 hours, resulting in 54 miles/hour.
  • Carmine drives 325 miles in 5 hours, achieving a speed of 65 miles/hour.
  • Kevin covers 252 miles in 4 hours, averaging 63 miles/hour.

Markers Distribution

  • A class of 25 students shares 100 markers.
  • With 5 students absent, each present student receives 5 markers.

Area and Dimensions

  • Area of a rectangular patio is 5 5/8 square yards, length is 1 1/2 yards, resulting in a width of 3 3/4 yards.

Basic Division Problems

  • 33.8 divided by 32.5 equals 1.04.
  • 34,992 divided by 81 results in 432.

Greatest Common Factor

  • The greatest common factor of 16 and 48 is 16.

Addition Problem

  • The sum of 74.835 and 2.67 is 77.505.

Expense and Revenue Calculation

  • Marshall spends $36.75 on 3 tickets costing x dollars each; the remaining amount is represented by $36.75 - 3x.
  • Thomas buys a 36-pack of water for $4.69; reselling for $0.75 each yields a total profit of $22.31 upon selling all bottles.

Expression Representation

  • "6 more than x" is represented as 6 + x.

Algebraic Evaluation

  • The expression (A x A) + 3b / c - 2d evaluates to 11 when substituting a=3, b=8, c=2, and d=5.

Additional Travel Rate Problems

  • Chad drives 168 miles in 3 hours, which is 56 miles/hour.
  • To cover 672 miles at that speed, it will take Chad 12 hours.
  • Chad consumes 28 miles per gallon; to drive 308 miles, he requires 11 gallons.
  • For 672 miles, Chad would need 24 gallons of gas.

Simple Algebra Expressions

  • The expression 3 + n represents the sum.
  • 20% of 30 equals 6.
  • The calculation 9 + 24 / 2 - 10 evaluates to 11.

Towel Cost Calculation

  • Sharon pays $39.50 for 8 towels, costing $4.95 each.

Nut Distribution Problem

  • A total of 8 bags of mixed nuts (3 1/2 cups each) shared among 12 hikers yields approximately 2 2/7 cups per hiker.

Percentage Calculations

  • 40% of 36 is 14.4.
  • 24 represents 40% of 60.
  • $108 is 6% of a purchase price of $1,800.

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