Move the 4x over to the left side and get:
6x - 3 = 9
Then move the 3 over to the right....
6x = 12
Divide by 6
x = 2
32m = 8m · 4
56mp = 8m · 7p
32m + 56mp = 8m(4 + 7p)
Answer:
x = 7
Step-by-step explanation:
We are told one quarter of x is equal to 7 , then the equation is
x = 7 ( multiply both sides by 4 to clear the fraction )
x = 28
Answer:
Part 1) The number of minutes in a month must be greater than 50 in order for the plan A to be preferable
Part 2) The number of minutes in a month must be equal to 50 minutes
Step-by-step explanation:
<u><em>The question is</em></u>
Part 1) How many minutes would Kendra have to use in a month in order for the plan A to be preferable? Round your answer to the nearest minute
Part 2) Enter the number of minutes where Kendra will pay the same amount for each long distance phone plan
Part 1)
Let
x ---> the number of minutes
we have
<em>Cost Plan A</em>

<em>Cost Plan B</em>

we know that
In order for plan A to be cheaper than plan B, the following inequality must hold true.
cost of plan A < cost of plan B
substitute

solve for x
subtract 3x both sides

divide by 2 both sides

Rewrite

therefore
The number of minutes in a month must be greater than 50 in order for the plan A to be preferable
Part 2)
Let
x ---> the number of minutes
we have
<em>Cost Plan A</em>

<em>Cost Plan B</em>

we know that
In order for plan A cost the same than plan B, the following equation must hold true.
cost of plan A = cost of plan B
substitute

solve for x

therefore
The number of minutes in a month must be equal to 50 minutes
9514 1404 393
Answer:
x = 2 m
y = 30°
Step-by-step explanation:
The side lengths of ΔDEF are 3/9 = 1/3 of those of ΔABC.
x = DF = 1/3(AB) = (1/3)(6 m)
x = 2 m
__
Angle measures of ΔDEF are the same as those of the corresponding angles of ΔABC.
y = ∠B = ∠E = 30°
y = 30°