Answer:
175 pushups in 5 min
Step-by-step explanation:
![105/3=35\\35*5=175](https://tex.z-dn.net/?f=105%2F3%3D35%5C%5C35%2A5%3D175)
Answer:
Step-by-step explanation:
3:9 = 1:3
1:7 = 2:14
12:4 = 24:8
20:5 = 40:10
Hope it helps!
The quadratic equation with roots a and b is given by:
![x^2-(a+b)x+ab=0](https://tex.z-dn.net/?f=x%5E2-%28a%2Bb%29x%2Bab%3D0)
Here a=1/2 and b=-4.
So the equation is given by:
![\begin{gathered} x^2-(\frac{1}{2}-4)x+(\frac{1}{2})(-4)=0 \\ x^2+\frac{7}{2}x-2=0 \\ 2x^2+7x-4=0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2-%28%5Cfrac%7B1%7D%7B2%7D-4%29x%2B%28%5Cfrac%7B1%7D%7B2%7D%29%28-4%29%3D0%20%5C%5C%20x%5E2%2B%5Cfrac%7B7%7D%7B2%7Dx-2%3D0%20%5C%5C%202x%5E2%2B7x-4%3D0%20%5Cend%7Bgathered%7D)
The quadratic equation is as shown above.
Given:
divided by
.
To find:
The simplified form of the given expression.
Solution:
We have,
divided by
. Mathematically it can be written as:
![\dfrac{3^5-5^3+2}{4^2}=\dfrac{243-125+2}{16}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%5E5-5%5E3%2B2%7D%7B4%5E2%7D%3D%5Cdfrac%7B243-125%2B2%7D%7B16%7D)
![\dfrac{3^5-5^3+2}{4^2}=\dfrac{120}{16}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%5E5-5%5E3%2B2%7D%7B4%5E2%7D%3D%5Cdfrac%7B120%7D%7B16%7D)
![\dfrac{3^5-5^3+2}{4^2}=\dfrac{15}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%5E5-5%5E3%2B2%7D%7B4%5E2%7D%3D%5Cdfrac%7B15%7D%7B2%7D)
![\dfrac{3^5-5^3+2}{4^2}=7.5](https://tex.z-dn.net/?f=%5Cdfrac%7B3%5E5-5%5E3%2B2%7D%7B4%5E2%7D%3D7.5)
Therefore, the simplified form of the given expression is 7.5.