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sasho [114]
3 years ago
14

Describe a real world situation that could be modeled by dividing two rational numbers

Mathematics
1 answer:
Anna11 [10]3 years ago
5 0
Divide the number of cookies split amongst friends
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Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the
Annette [7]

Answer:

  • (a) 3 inches

  • (b)  Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.

Explanation:

(a) What is the length of the garden in her model? Show your work, including your proportion

<u>1. Scale</u>:

  • model length / real length = 1 inch / 2 feet

<u>2. Proportion</u>:

Naming x the model length:

  • 1 inch / 2 feet = x / 6 feet

Cross multiply:

  • 1 inch × 6 feet = 2 feet × x

Divide both sides by x:

  • x = 1 inch × 6 feet / 2 feet = 3 inch.

Answer: 3 inches

(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?​

Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.

In the model the ratio of the length to the width is 3 inch / 5 inch

In the paper the ratio of the length to the width is 8.5 inch / 7 inch

Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.

8 0
3 years ago
Evaluate 22p÷11 for p=3
leva [86]
22x3=66 then plug it into the problem

66÷11=6
so your answer is 6
4 0
3 years ago
Read 2 more answers
Find the exact volume of the cylinder.
GaryK [48]
It is "(C) 225pi cm3"
I am 100% sure this is correct.
8 0
3 years ago
Jackson bought a jar of 240 marbles. The percent bar graph shows the percentage of each color marble in the jar.
bulgar [2K]

Answer:

72 marbles are yellow

Step-by-step explanation:

4 0
3 years ago
How do you simplify 15/40​
Katyanochek1 [597]

Answer:3/8

Step-by-step explanation:

The simplest form of  

15 /40  is  3 /8 .

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 15 and 40 is 5

Divide both the numerator and denominator by the GCD

15 ÷ 5

40 ÷ 5

Reduced fraction:  

3 /8

Therefore, 15/40 simplified to lowest terms is 3/8.

3 0
3 years ago
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