Let x represent number of redwood trees and y represent number of spruce trees.
We have been given that a park ranger bought 12 trees. We can represent this information in an equation as:
We are also told that redwood trees cost $24 each, so cost of x redwood trees would be 
.
Each spruce tree costs $16, so cost of y spruce trees would be 
.
Since the park ranger spent $208 on trees, so we can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, the park ranger bought 2 redwood trees.
Upon substituting in equation (1), we will get:
Therefore, the park ranger bought 10 spruce trees.
reflection transformation i believe. Correct me if im wrong im not that smart lol.
Answer:
Step-by-step explanation:
The constant term of x^2 + 13x – 48 factors into either (3)(-16) or (-3)(16).
Note how 16 - 3 = 13, which is the coefficient of the middle term. Thus, the factors are
(x + 16)(x - 3) which is equivalent to x^2 + 16x - 3x - 48, or x^2 + 13x - 48.
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Push Mower
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It takes 5 hours to complete the job
1 hour = 1/5 of the job
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Riding Lawn Mower
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It takes 3 hours to complete the job
1 hour = 1/3 of the job
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Push Mower + Riding Lawn Mower
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1 hour = 1/5 + 1/3
1 hour = 3/15 + 5/15
1 hour = 8/15 of the job.
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Calculate time needed to complete
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8/15 of the job takes 1 hour
8/15 of the job = 1 hour
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Divide by 8/15 on both side
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8/15 ÷ 8/15 of the job = 1 ÷ 8/15 hour
Whole of the job = 1 x 15/8 hours
Whole of the job = 15/8 hours
Whole of the job = 1 7/8 hours
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Answer: 1 7/8 hours
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Answer: C. (1, 4)
Step-by-step explanation:
The point where the two lines meet or intersect is the solution to the system of equations graphed. And in this case, the lines intersect at (1, 4).
