Answer:
R=-12
Step-by-step explanation:
6(1 + 3R) = 2(10R - 9) -4R
Distribute 6 through the parentheses
6+18R=2(10R-9)-4R
Distribute 2 through the parentheses
6+18R=20R-18-4R
Collect like terms
6+18R=16R-18
Move the variable to the left-hand side and change its sign
6+18R-16R=-18
Move the constant to the right-hand side and change its sign
18R-16R=-18-6
Collect like terms
2R=-18-6
Calculate the difference
2R=-24
Divide both sides of the equation by 2
R=-12
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Answer:
C
Step-by-step explanation:
Slope: 3, y-intercept: 4, equation: y = 3x + 4
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➷ 3.5 + x = 7
We need to isolate x
Subtract 3.5 from both sides:
x = 3.5
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Answer:
f(m) = 75-8m
Step-by-step explanation:
She began with $75. After the first movie, she had $67 remaining; this means she spent
75-67 = $8
After the second movie, she had $59 remaining; she spent
67-59 = $8
After the third movie, she had $51 remaining; she spent
59-51 = $8
Each movie costs $8. Letting m represent the number of movies, this gives us 8m.
Since she is spending money, we subtract this from the original amount, $75; this gives us
f(m) = 75-8m