Tip: Go step-by-step
Let the number = x
Eight times the difference between a number and seven.. = 8(x-7)
is the same as... =
the number increased by 4.. x+4
8(x-7)=x+4
Distribute
8x-56=x+4
Subtract x from both sides
7x-56=4
Add 56 to both sides
7x=60
x=60/7
Answer:
y=3/16x + 1/8
Step-by-step explanation:
2+16y=3x+4
16y=3x+4-2
16y=3x+2
y= 3/16x + 1/8
Answer:
9 inches
Step-by-step explanation:
base is rectangular in shape
Side of base of square pyramid is X inches
height of square pyramid is 1/9 X
Volume of any pyramid is 1/3 *(area of base* height of pyramid)
area of base of square pyramid = Side of base * Side of base
as area of square is equal to side * side
area of base of square pyramid = x* x square inches = 
Volume of pyramid = 1/3 *(area of base* height of pyramid)
substituting given value of of volume of pyramid , height of pyramid and area of base calculated above we have
![27 = 1/3(x^2)*(1/9 x)\\\\27*3*9 = x^3\\729 = x^3\\x = \sqrt[3]{729} \\x = 9](https://tex.z-dn.net/?f=27%20%3D%201%2F3%28x%5E2%29%2A%281%2F9%20x%29%5C%5C%5C%5C27%2A3%2A9%20%3D%20x%5E3%5C%5C729%20%3D%20x%5E3%5C%5Cx%20%3D%20%5Csqrt%5B3%5D%7B729%7D%20%5C%5Cx%20%3D%209)
Therefor value of x is 9 inches.