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Answer: h = 17
Step-by-step explanation: As a general rule, if an equation has any fractions in it, try to get rid of those fractions as soon as possible.
The quickest way to get rid of a fraction is to multiply both
sides of the equation by the denominator of the fraction.
So in this problem, we can get rid of the fraction in our
first step by multiplying both sides of the equation by 4.
On the left, the 4's cancel and on the right, 1(4) is 4.
Now we have h - 13 = 4.
Since 13 is being subtracted from <em>h</em>, to get <em>h</em> by itself,
we need to add 13 to both sides of the equation to get h = 17.
Now, we can check our answer by plugging 17 back
into the original equation shown below in italics.


Question..
Combine like terms to create an equivalent expression.
½ −⅙q +⅚q - ⅓
Answer:
½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙
Step-by-step explanation:
Given
½ −⅙q +⅚q - ⅓
Required
Equivalence
½ −⅙q +⅚q - ⅓
We start by collecting like terms.
⅚q - ⅙q + ½ - ⅓
Factorize
(⅚ - ⅙)q + ½ - ⅓
((5 - 1)/6)q + ½ - ⅓
(4/6)q + ½ - ⅓
Reduce 4/6 to lowest term
⅔q + ½ - ⅓
Evaluate fraction
⅔q + (3 - 2)/6
⅔q + ⅙
Hence, ½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙
Answer:
The son is five years old
Step-by-step explanation:
Let the son's age be x
A man is five as old as his son, 5x
In five years, he would be three times as old as his son
In five years: son would be x+5
Father 5x+5
3(x+5)=5x+5
3x+15=5x+5
Collect like terms
15-5=5x-3x
10=2x
Divide by 2
10/2=2x/2
x=5
The son is five years old
Answer:
240
Step-by-step explanation:
20/0.25 = 80
80 x 3 = 240