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Shalnov [3]
3 years ago
13

Michael drives to work and home from work each workday. He travels a total of 160 miles at the end of the workweek. How far is M

ichael's house from work?
Mathematics
1 answer:
sdas [7]3 years ago
6 0

Answer:

Michael's house is 16 miles away from work.

Step-by-step explanation:

We are given the following in the question:

Total distance traveled by Michael at the end of the workweek = 160 miles.

Let x miles be the distance between Michael's house from work.

Thus, total distance covered in one day =

2x\text{ miles}

Total distance covered in one weekday(5 days) =

2x\times 5 = 10x\text{ miles}

Equating,

10x = 160\\\Rightarrow x  = 16

Thus, Michael's house is 16 miles away from work.

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3 years ago
The mean of five numbers is 8. when another number is added the mean is 7. find the number added
sasho [114]

Answer:

\large \boxed{\sf \ \ 2  \ \ }

Step-by-step explanation:

Hello,

<u>The mean of five numbers is 8</u> so we can write

\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8

<u>When another number is added the mean is 7</u>, let s note x the another number we can write

\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7

From the first equation we can say

x_1+x_2+x_3+x_4+x_5=8*5=40

So the second equation becomes

\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\ \dfrac{40+x}{6}=7\\\\40 + x = 6*7=42\\\\ x = 42-40 = 2\\

The solution is then 2

Hope this helps

4 0
3 years ago
If a translation of (x,y) → (X + 6, 7-10) is applied to figure
horrorfan [7]
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3 years ago
Order the following numbers from least to greatest. -14 1/5,<br> -14.04,<br> -14.4
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Answer:

-14.4, -14 1/5, -14.04

Step-by-step explanation:

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3 0
3 years ago
What is the approximate value of t?
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Answer:

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Step-by-step explanation:

36 + 36 = 72

t^2 = 72

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3 years ago
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