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Step-by-step explanation:
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<span>6x – 7y = 16
2x + 7y = 24
This system is easily solvable by the elimination method as the y-terms are opposites of each other. You may add the two equations together and they will cancel out.
</span> 6x – 7y = 16
2x + 7y = 24
+___________
8x – 0 = 40
8x = 40
x = 5
Substitute 5 for x into either of the above equation and solve algebraically for y.
2x + 7y = 24
2(5) + 7y = 24
10 + 7y = 24
7y = 14
y = 2
Check work by plugging both x- and y-values into each original equation.
6x – 7y = 16 => 6(5) – 7(2) = 16 => 30 – 14 = 16
2x + 7y = 24 => 2(5) + 7(2) = 24 => 10 + 14 = 24
Answer:
x = 5; y = 2
(5, 2)
The question is incomplete. The complete question is :
Nate starts a lawn-mowing business. In his business, he has expenses and revenue. Nate's expenses are the cost of the lawn mower and gas, and his revenue is $25 per lawn. At what point will Nate's revenue exceed his expense?
Cost of lawn mower = $ 200
Cost of gasoline = $ 2 per lawn
Solution :
Given :
Cost of the lawn mower = $ 200
The cost of gasoline expense for one lawn = $ 2
The revenue generated for one lawn = $ 25
So let the number of lawn to be mowed = x
Therefore the total expenses =
So, the total revenue =
The point for which the revenue will exceed the total expenditure will be :
So at
Thus the revenue exceeds the total expenditure after mowing 9 number of lawns.
Answer:
A=8.333 square units
Step-by-step explanation:
Area of parallelogram=B×H
A=25/4×4/3
A=8.333 square units
Answer: Option B.
Step-by-step explanation:
If a varies directly with b then when a increases b it also increases by a factor k.
Then we can write that
We know that when a = 28 then b = 7. So
Therefore the equation of proportionality is:
So when then: