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Ymorist [56]
4 years ago
12

What does the factor is 3 that both 3x and 18 have in common.

Mathematics
1 answer:
Arlecino [84]4 years ago
4 0
3 goes into both 3x and 18

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Evaluate the expression below by correctly ordering the steps.
Alex Ar [27]

Answer:

34

Step-by-step explanation:

= 9*4+(20-22)

= 9*4+(-2)

= 9*4+-2

= 9*4-2

= 36-2

= 34

4 0
3 years ago
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3 years ago
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:

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  • 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
4 years ago
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Step-by-step explanation:

7 0
3 years ago
Joshua has $560. He wants to buy a laptop that costs $320 as well as a case for the laptop that costs $65 and is currently on sa
Igoryamba

Answer:$154.73

Step-by-step explanation:

Take 65 and multiple .15 and that will give you the 15% off of the case. When u do that you get 9.75 so then 65-9.75= 55.25 multiply .08 for the sales tax on the case = 4.42 add to 55.25= 59.67 then add the sales tax for the laptop 320 multiplied by .08 = 25. 60 for a total of 345.60 then add that to 59.67 = 405.27 then u have to subtract that from 560 and Josh has $154.73

6 0
3 years ago
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