Answer:
Step-by-step explanation:
first term = a = 3
common ratio = 2nd term ÷ first term
= 12 ÷ 3
r = 4
Answer:
Step-by-step explanation:
The lengths can be found by considering their ratio:
short : long = 1 : 5
The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.
The lengths are ...
1 : 5 = 24 in : 120 in
The pieces are 24 inches and 120 inches in length.
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Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...
s +5s = 144
s = 144/6 = 24
5s = 5(24) = 120
The lengths are 24 inches and 120 inches.
1,10 and 2,5,
those are the pairs
Answer:
7
Step-by-step explanation:
<span>Simplifying
5(6 + -4x) = 25
(6 * 5 + -4x * 5) = 25
(30 + -20x) = 25
Solving
30 + -20x = 25
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-30' to each side of the equation.
30 + -30 + -20x = 25 + -30
Combine like terms: 30 + -30 = 0
0 + -20x = 25 + -30
-20x = 25 + -30
Combine like terms: 25 + -30 = -5
-20x = -5
Divide each side by '-20'.
x = 0.25</span>
