Math Word Problems and Calculations

Questions and Answers

What is the total length of spirit ribbon needed to make 1 hair bow?

8/7 yard

1/8 yard

1 yard

7/8 yard (correct)

Which of the following expressions correctly represents the number of hair bows Tyanna can make from 1 yard of ribbon?

$1 ÷ 8/7$

$1 ÷ 7/8$ (correct)

$1 ÷ 1/8$

$7 ÷ 8$

According to Tyanna's calculation, how many hair bows can be made from 7/8 yard of ribbon?

0.875

1 (correct)

1.5

Which of these is an equivalent fraction to 7/8?

14/16 Signup and view all the answers

If Michael cuts 3 sandwiches into equal-sized pieces, how much does each friend receive if shared among 4 friends?

3/8 sandwich Signup and view all the answers

How many equivalent fractions can be created for the fraction 3/4?

Infinite Signup and view all the answers

What is the simplest form of the fraction 28/32?

7/8 Signup and view all the answers

If the total length of ribbon is represented as a mixed number $1 1/8$, what improper fraction would this be?

9/8 Signup and view all the answers

If Aisha has _ liters of water, how many complete containers can she make if she uses _ liters for each?

2 complete containers Signup and view all the answers

What is the fraction of a container that Aisha can still fill after making complete containers?

1/4 Signup and view all the answers

How would you represent the mathematical operation of dividing Aisha's total water by the amount poured into each container?

Division Signup and view all the answers

If Aisha has enough water for 2 complete experiment containers and an additional quarter, what is the total fraction of containers she can fill?

2 1/2 Signup and view all the answers

Which of the following statements is true regarding the total liters of water Aisha has used?

She has used less than a liter. Signup and view all the answers

What mathematical operation would you perform to determine how many full containers Aisha can make from her water supply?

Dividing the total water by the volume used per container Signup and view all the answers

How can Aisha express the amount of water remaining after making the containers?

As a fraction of 1 liter Signup and view all the answers

In the process of Aisha's experiment, what type of numbers is she primarily working with?

Positive rational numbers Signup and view all the answers

What is the area of the rectangle that Eileen paints in square feet?

98 square feet Signup and view all the answers

If the base dimensions of the rectangular prism are 11 cm by 5 cm, what is the area of its base in square centimeters?

55 square centimeters Signup and view all the answers

What is the volume of the prism if its base area is 55 cm² and its height is 6 cm?

330 cubic centimeters Signup and view all the answers

What is the height of the rectangular prism described?

6 centimeters Signup and view all the answers

To find the volume of a prism, which formula should be used?

Base area x height Signup and view all the answers

If Eileen's painted area is 98 square feet, which of the following rectangles could have produced this area?

7 ft by 14 ft Signup and view all the answers

Which of the following is a characteristic of a rectangular prism?

It has six rectangular faces Signup and view all the answers

What dimension(s) are needed to calculate the area of a rectangle?

Length and width Signup and view all the answers

Which number is closest to 32 on the number line provided?

32.1 Signup and view all the answers

What is the significance of labeling numbers on a number line?

It shows the relationship between different quantities. Signup and view all the answers

What is the maximum height recorded for the plants in the table?

4 meters Signup and view all the answers

What could be a potential error when interpreting the number line?

Reading numbers without understanding their decimal places. Signup and view all the answers

If a new number, 32.5, were added to the number line, where would it be placed?

Between 32.4 and 32.6 Signup and view all the answers

Which measurement shows a relationship that may need further examination?

Plant heights in meters. Signup and view all the answers

What could be inferred about the distribution of the plant heights?

Heights vary significantly and may indicate different species. Signup and view all the answers

Why might it be important to use decimals when describing the heights of plants?

Decimals provide more precision than whole numbers. Signup and view all the answers

What is the total cost for 2 bottles of dish detergent, 1 bottle of laundry soap, and 4 packages of bar soap?

$63.75 Signup and view all the answers

What is the value of $3.6 multiplied by $0.17?

$0.612 Signup and view all the answers

What is the volume of the cereal box in cubic centimeters given the dimensions of 4.2 cm, 25.2 cm, and 15.8 cm?

1672.272 cm³ Signup and view all the answers

If three friends purchase 2 boxes of Crunchy Chewy snack mix for $15.48 each, how much does each person pay?

$10.32 Signup and view all the answers

What is the result of dividing 6.1 by 2.5?

2.44 Signup and view all the answers

How much does Colin spend in total on paper towels and facial tissues?

$47.75 Signup and view all the answers

Which of the following items does Colin purchase the most of in terms of quantity?

Bar soap Signup and view all the answers

How many total items does Colin put in his shopping cart?

13 Signup and view all the answers

Study Notes

Hair Bows and Ribbon Calculation

Each hair bow requires ⅛ yard of spirit ribbon.
An expression can represent the quantity of bows made from 7/8 yard of ribbon. Potential expressions to evaluate include variations of 7/8 divided by 1/8.

Equivalent Fractions

Generate four equivalent fractions for selected fractions from the given options.
One fraction must simplify to its simplest form.

Michael shares 3 sandwiches with four friends, resulting in each friend receiving ¾ of a sandwich, calculated by dividing total pieces.

Aisha's Water Experiment

Aisha has 2 liters of water and uses ⅛ liter per container, leading to her ability to make 16 containers (2 ÷ ⅛).
The leftover results in an incomplete container, with calculations showing a complete total of 2 full containers.

Area Calculation

The area painted by Eileen measures 98 square feet, calculated based on specified dimensions.

Volume of Rectangular Prism

A rectangular base with dimensions of 11 cm by 5 cm and a height of 6 cm yields a volume of 330 cm³, calculated using the formula for volume V = base area × height.

Decimal Comparisons

Numbers compared on a number line include values near 32. Relevant decimals: 45.39, 45.6, 46.18, etc.
Important calculations involve multiplying decimals, e.g., 3.6 × 0.17 results in 0.612.

Shopping Cart Calculation

Colin's total expenditure on household items includes:
- 2 bottles of dish detergent ($5.39 each), total $10.78
- Laundry soap at $17.97
- 4 packages of bar soap ($8.75 each), totaling $35
Total spending amounts to $63.75.

Cereal Box Volume

Dimensions for the cereal box are 4.2 cm, 25.2 cm, and 15.8 cm.
Volume calculation for the cereal box gives approximately 1672.27 cm³.

Additional Division Problem

The value of 6.1 divided by 2.5 equals approximately 2.44.

The cost for two boxes of snack mix ($15.48 each) shared among three friends results in each person paying a third of the total adjusted price.

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Description

This quiz covers a range of math word problems including ribbon calculations for hair bows, equivalent fractions, sharing sandwiches, and volume calculations for a rectangular prism. Solve these real-life scenarios using mathematical expressions and operations.