Answer:
She needs to save $35.
Step-by-step explanation:
To find out how much more she needs, you take $70 and minus $35
70-35=35
Hope this helps!
Answer:
they are complementary
Step-by-step explanation:
Answer:
x = P/8
Step-by-step explanation:
The perimeter of the blueprint is given by the equation :
P = 8x
We need to solve the above equation for x.
Dividing both sides of the equation by 8.
![\dfrac{P}{8}=\dfrac{8x}{8}\\\\x=\dfrac{P}{8}](https://tex.z-dn.net/?f=%5Cdfrac%7BP%7D%7B8%7D%3D%5Cdfrac%7B8x%7D%7B8%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7BP%7D%7B8%7D)
Hence, the value of x is P/8
Answer:
![3^{75}](https://tex.z-dn.net/?f=3%5E%7B75%7D)
Step-by-step explanation:
We are asked to divide our given fraction:
.
We will simplify our division problem using rules of exponents.
Using product rule of exponents
we can write:
![45^{45}=(3*15)^{45}=3^{45}*15^{45}](https://tex.z-dn.net/?f=45%5E%7B45%7D%3D%283%2A15%29%5E%7B45%7D%3D3%5E%7B45%7D%2A15%5E%7B45%7D)
![75^{30}=(5*15)^{30}=5^{30}*15^{30}](https://tex.z-dn.net/?f=75%5E%7B30%7D%3D%285%2A15%29%5E%7B30%7D%3D5%5E%7B30%7D%2A15%5E%7B30%7D)
Substituting these values in our division problem we will get,
![\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B45%7D%2A15%5E%7B45%7D%2A15%5E%7B15%7D%7D%7B5%5E%7B30%7D%2A15%5E%7B30%7D%7D)
Using power rule of exponents
we will get,
![\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B45%7D%2A15%5E%7B45%2B15%7D%7D%7B5%5E%7B30%7D%2A15%5E%7B30%7D%7D)
![\frac{3^{45}*15^{60}}{5^{30}*15^{30}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B45%7D%2A15%5E%7B60%7D%7D%7B5%5E%7B30%7D%2A15%5E%7B30%7D%7D)
Using quotient rule of exponent
we will get,
![\frac{3^{45}*15^{60-30}}{5^{30}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B45%7D%2A15%5E%7B60-30%7D%7D%7B5%5E%7B30%7D%7D)
![\frac{3^{45}*15^{30}}{5^{30}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B45%7D%2A15%5E%7B30%7D%7D%7B5%5E%7B30%7D%7D)
Using product rule of exponents
we will get,
![\frac{3^{45}*(3*5)^{30}}{5^{30}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B45%7D%2A%283%2A5%29%5E%7B30%7D%7D%7B5%5E%7B30%7D%7D)
![\frac{3^{45}*3^{30}*5^{30}}{5^{30}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B45%7D%2A3%5E%7B30%7D%2A5%5E%7B30%7D%7D%7B5%5E%7B30%7D%7D)
Upon canceling out
we will get,
![3^{45}*3^{30}](https://tex.z-dn.net/?f=3%5E%7B45%7D%2A3%5E%7B30%7D)
Using power rule of exponents
we will get,
![3^{45+30}](https://tex.z-dn.net/?f=3%5E%7B45%2B30%7D)
![3^{75}](https://tex.z-dn.net/?f=3%5E%7B75%7D)
Therefore, our resulting quotient will be
.
answer :- x+x² hope you understand