Answer:
m = 11
Step-by-step explanation:
Given
(m + 4) = 6 ← multiply both sides by 5 to clear the fraction
2(m + 4) = 30 ( divide both sides by 2 )
m + 4 = 15 ( subtract 4 from both sides )
m = 11
This method avoids having to deal with awkward fractions
in geometry a line segment part of a line that is bounded by two distinct endpoints
1/2r -3= 3 (4-3/2r) is to be solved for r.
I'll begin by making the assumptions that by 1/2r you actually meant (1/2)r and that by 3/2r you actually meant (3/2)r. When in doubt, please use parentheses to make your meaning clear.
Thus, 1/2r -3= 3 (4-3/2r) becomes (1/2)r -3= 3 (4-(3/2)r ) .
Simplify this by multiplying all 3 terms by 2. Doing this will eliminate the fractions:
r -6 = 3 (4*2-(3)r ) or r - 6 = 24 - 9r
Now expand the right side, using the distributive property of
r - 3 = 24 - 9r
Regrouping so as to combine like terms:
10r = 30
Solving for r: r = 30/10 = 3
The value of r that satisfies this equation is 3
Answer: Since he had fourteen, and he gave away six of them, he has eight left.
Step-by-step explanation: