Answer:
New length is 3 3/20 ft.
Step-by-step explanation:
The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.
We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8
Now we're going to simplify ---> 5/6 ⋅ x = 2 5/8
5/6 ⋅ x = 21/8
(multiply both sides by 6)
5x = 63/4
(divide both sides by 5)
x = 63/20
x= 3.15
So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.
Answer:
x = 929/126
Step-by-step explanation:
12/19(x-22)=38-6x-3
Combine like terms
12/19(x-22)=35-6x
Multiply each side by 19
19* 12/19(x-22)=19*(35-6x)
12( x-22) = 19*(35-6x)
Distribute
12x - 264 = 665 - 114x
Add 114x to each side
12x +114x - 264 = 665 - 114x+114x
126x -264 = 665
Add 264 to each side
126x-264+264 = 665+264
126x = 929
Divide each side by 126
126x/126 = 929/126
x = 929/126
Answer:
8
Step-by-step explanation:
The given expression is "three less than the quotient of ten and a number, increased by six”
The quotient of ten and a number increased by six is translated into mathematical expression as:
Three less than the quotient of ten and a number, increased by six is
When we substitute n=2, we get:
Divide to get:
Add to get:
Subtract
Step-by-step explanation:
let the big cube side be b
small cube side be s
s = 2/3 * b
bv + sv = 118.125
b^3 + 8/9 b^3= 118.125
17 b^3/8 = 118.125
b^3 = 55.58
b = 3.816in
s = 2.544in
