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3 years ago

A travel company is selling two different suitcases, each in the shape of a rectangular prism. Which statement is true?

Mathematics

1 answer:

9966 [12]3 years ago

6 0

Answer:

Suitcase 2 is the better deal because it is less expensive than Suitcase 1 by approximately $0.01 per cubic inch ⇒ C

Step-by-step explanation:

Let us find the volume of each suitcase and find the price per cubic inch to chose the better deal

The formula of the volume of a rectangular prism is V = L × W × H, where

L is the length of it
W is the width of it
H is the height of it

Suitcase 1:

∵ Its length is 14 inches

∵ Its width is 9 inches

∵ Its height is 22 inches

- Substitute them in the formula of the volume above

∵ V = 14 × 9 × 22

∴ V = 2772 inches³

∵ The cost of it is $139.99

- Divide the cost by the volume to find the cost per cubic inch

∵ The cost per cubic inch = 139.99 ÷ 2772

∴ The cost per cubic inch ≅ 0.05

∴ The cost per cubic inch is approximately $0.05

Suitcase 2:

∵ Its length is 18 inches

∵ Its width is 10 inches

∵ Its height is 22 inches

- Substitute them in the formula of the volume above

∵ V = 18 × 10 × 22

∴ V = 3960 inches³

∵ The cost of it is $158.99

- Divide the cost by the volume to find the cost per cubic inch

∵ The cost per cubic inch = 158.99 ÷ 3960

∴ The cost per cubic inch ≅ 0.04

∴ The cost per cubic inch is approximately $0.04

∵ 0.04 is less than 0.05

∵ 0.05 - 0.04 = 0.01

∴ Suitcase 2 is less expensive than suitcase 1 by $0.01

∴ Suitcase 2 is the better deal

Suitcase 2 is the better deal because it is less expensive than Suitcase 1 by approximately $0.01 per cubic inch

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2 years ago

Which statements are true? check all that apply. twenty-three ninth graders and fifteen eleventh graders prefer math. fourteen e

Vlad [161]

The true statements are;

fourteen eleventh graders prefer math and eight tenth graders prefer english.
twenty-three ninth graders and thirty-five twelfth graders prefer math.

<h3>What is a survey?</h3>

In a survey, the opinions of the subjects are sought and these responses are recorded for the purpose of use in the process of decision making.

In this, case, we can see from the table that;

fourteen eleventh graders prefer math and eight tenth graders prefer english.
twenty-three ninth graders and thirty-five twelfth graders prefer math.

Learn more about survey:brainly.com/question/3944932

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1 year ago

Read 2 more answers

David, a high school senior was wondering if the cost of attending college is worth the

expeople1 [14]

Answer:

Step-by-step explanation:

<u>Explanation for part 1.</u>

To find the mean, find total then divide by number of data set

For college salaries

Sum=41+67+53+48+45+60+59+55+52+52+50+59+44+49+52=786

Number of samples=15

Mean= 786/15 =52.4 * $1000=$52400

For High school salaries

Sum=23+33+36+29+25+43+42+38+27+25+33+41+29+33+35=492

Number of samples =15

Mean= 492/15 = 32.8 *$1000= $32800

College grads make more money according to the means.

<u>Explanation for part 2.</u>

Treat the data as part of coordinates and graph then on the same scale and axis to visualize the trend and make comparison.In this case, the graph for the line of best fit is linear as attached.