Answer:
x = 5
Step-by-step explanation:
Given
9x - 3 - 8x = 7 - x , that is
x - 3 = 7 - x ( add x to both sides )
2x - 3 = 7 ( add 3 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Step-by-step answer:
This is a problem involving subtraction of fractions.
To solve the problem, we find out the increase of the fraction of container and equate it to the amount of water added. Then we find the amount of water contained in the whole container (fraction = 1)
7 gallons = 4/5 - 3/10 = 8/10 - 3/10 =5/10 = 1/2 container
therefore, multiply by two on both sides,
14 gallons = 1 container
So container can hold 14 gallons.
Answer:
150
Step-by-step explanation:
A=B*H/2
A=15*20/2
A=300/2
A=150
Ignore the hypotenuse btw
![\\ \sf{:}\implies (side)^3=14](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%7B%3A%7D%5Cimplies%20%28side%29%5E3%3D14)
![\\ \sf{:}\implies side=\sqrt[3]{14}](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%7B%3A%7D%5Cimplies%20side%3D%5Csqrt%5B3%5D%7B14%7D)
![\\ \sf{:}\implies side=2.5in](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%7B%3A%7D%5Cimplies%20side%3D2.5in)
Now
![\\ \sf{:}\implies Area=11(8)=88in^2](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%7B%3A%7D%5Cimplies%20Area%3D11%288%29%3D88in%5E2)
Cut it into 10 parts as per question(Open side means five sides hence it will be 5×2=10)
![\\ \sf{:}\implies 88/10=8.8in](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%7B%3A%7D%5Cimplies%2088%2F10%3D8.8in)
Now divide by previous side
![\\ \sf{:}\implies \dfrac{8.8}{2.5}=3.52=3.5](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%7B%3A%7D%5Cimplies%20%5Cdfrac%7B8.8%7D%7B2.5%7D%3D3.52%3D3.5)
Option D