Answer:
1 cubic yard is 27 cubic feet
multiply volume by 27
Answer:
x=-1
Step-by-step explanation:
x+3
------- = 3 + 1/x
x+2
Get a common denominator on the right
3*x/x + 1/x
3x/x + 1/x = (3x+1)/x
x+3 3x+1
------- = ---------
x+2 x
We can use cross products to solve
(x+3) *x = (3x+1) * (x+2)
x^2+3x = 3x*x +x + 3x*2 +2
Simplifying
x^2 + 3x = 3x^2 +7x+2
Subtract x^2 from each side
x^2 -x^2 + 3x = 3x^2-x^2 +7x+2
3x = 2x^2 +7x+2
Subtract 3x from each side
3x-3x = 2x^2 +7x -3x+2
0 = 2x^2 +4x +2
Divide by 2
0 = x^2 +2x +1
Factor
0 = (x+1) (x+1)
Using the zero product property
x+1 =0
x=-1
Answer with Step-by-step explanation:
a. The difference between 8 forty-sevens and 7 forty-sevens
Let ⊕ repesents forty- sevens.
So, Model can be represented by
8⊕ - 7⊕
=⊕⊕⊕⊕⊕⊕⊕⊕-⊕⊕⊕⊕⊕⊕⊕
=⊕
Mathematically,
let x represents forty-sevens.
So, it becomes

b. 6 times the sum of 12 and 8.
Mathematically, it is expressed as

Let 12 be written as 4×3
and 8 be written as 4×2
Let ⊕ represents 4 i.e. fours.
so, there are sum of 2 fours and 3 fours.
So, it becomes,
6×(⊕⊕+⊕⊕⊕)
=6×(⊕⊕⊕⊕⊕)
=⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕
=4×30
=120
Answer:
Add 1/2x, Divide by 7/6
Step-by-step explanation:
Add 1/2x to both sides
Divide both sides by 7/6