Answer:
a = 20
Step-by-step explanation:
The mean is calculated as
mean = ![\frac{sum}{count}](https://tex.z-dn.net/?f=%5Cfrac%7Bsum%7D%7Bcount%7D)
=
= ![\frac{115+a}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B115%2Ba%7D%7B5%7D)
Then
= 27 ( multiply both sides by 5 to clear the fraction )
115 + a = 135 ( subtract 115 from both sides )
a = 20
Let
![x](https://tex.z-dn.net/?f=x)
be the amount of time it takes to perform an arm routine and
![y](https://tex.z-dn.net/?f=y)
be the amount of time it takes to perform an abdominal routine. We see:
![4x+y=70](https://tex.z-dn.net/?f=4x%2By%3D70)
![4x+2y=100](https://tex.z-dn.net/?f=4x%2B2y%3D100)
Subtracting the second equation from the first gives
![y=30](https://tex.z-dn.net/?f=y%3D30)
. Substituting gives
![4x+30=70](https://tex.z-dn.net/?f=4x%2B30%3D70)
, so
![4x=40](https://tex.z-dn.net/?f=4x%3D40)
and
![x=10](https://tex.z-dn.net/?f=x%3D10)
.
Thus, an arm routine takes ten minutes and an abdominal routine takes thirty minutes.
Answer:
When ever you can’t solve it it considered false like 4 - 12
Step-by-step explanation:
Answer: √51
—————————
a^2 + b^2 = c^2
a^2 + 7^2 = 10^2
a^2 + 49 = 100
a^2 = 51
√(a^2) = √51
a = √51