Answer:
1) m = h - w/8
Subtract h from both sides.
m - h = -w/8
Subtract m from both sides.
-h = -m - w/8
Divide all terms by -1.
h = m + w/8.
2) m = h - w/8
Get rid of the denominator 8 by multiplying 8/1 to all terms.
8m = 8h - w
Add w on both sides and subtract 8m from both sides.
w = 8h - 8m
3) w = x + y/z
Get rid of the denominator z by multiplying it to all terms.
wz = xz + y
Subtract xz from both sides of the equation.
wz - xz = y OR y = wz - xz
4) w = x + y/z
Subtract x from both sides.
w - x = y/z
Get rid of the denominator by multiplying it to all terms.
wz - xz = y
Now factor the expression wz - xz.
z(w - x) = y
Divide both sides by w - x.
z = y / w - x
This is read as z equals to y divided by w minus x.
5) The area of a triangle is A = 1/2bh
First, get rid of the denominator by multiplying both sides by 2.
2A = bh
To find b, divide both sides by h.
2A/h = b
6) P = kt/v
Multiply both sides by v.
Pv = kt
Divide both sides by t.
Pv/t = k OR k = Pv/t.
Step-by-step explanation:
Answer: 2/3
Step-by-step explanation:
5/9 and 5/6 doesn't have the same denominator. So 5/9 changes to 10/18, while 5/6 changes to 15/18.
10/18 divided by 15/18= 10/18 x 18/15 = 180/270
180/270= 2/3
Answer:
The ratio of George age to Carl's age is 1:12.
Step-by-step explanation:
Let the age of George be 'g'.
Let the age of Alex be 'a'.
Also Let the age of Carl be 'c'.
Given:
The sum of their ages is 68.
So equation can be framed as;

Also Given:
Alex is 12 years older than George.
So equation can be framed as;

Now Given:
Carl is three times older than Alex.

But 
So we get;

Now Substituting equation 2 and equation 3 in equation 1 we get;

Subtracting both side by 48 using subtraction property of equality we get;

Now Dividing both side by 5 using Division property of equality we get;

Hence George age 
Now Alex age 
Also Carl's age 
Now we need to find the ratio of George age to Carl's age.

Hence the ratio of George age to Carl's age is 1:12.
Well to find the are of a triangle is like finding the are of a rectangle but in half so multiply 110 by 2 to get the original answer before it was divided by 2:
110×2=220
now we need to find out how many 10 are in 220:
220÷10=22
so the height of the triangle would be 22 ft
hope this helped