an intervinig Time or space
Answer:
4
Step-by-step explanation:
Let y be the width of the rectangle
The length of the rectangle is 5 unit more than the width. This is written as:
Length = y + 5
Area = 36
Recall:
Area of rectangle = length x width
36 = (y + 5) x y
36 = y^2 + 5y
Rearrange the expression
y^2 + 5y — 36 = 0
To solve this problem by factorization, multiply the first term (i.e y^2) and last term ( i.e — 36) together. This gives — 36y^2
Next, find two factors of —36y^2 such that when we add them together it will result to the second term (5y). These factors are —4y and 9y. Now we substitute —4y and 9y in place of 5y in the equation. This is illustrated below:
y^2 + 5y — 36 = 0
y^2 —4y + 9y — 36 = 0
We factorize as follows:
y(y — 4) + 9(y —4) = 0
(y + 9) (y — 4) =0
y + 9 = 0 or y — 4 = 0
y = —9 or y = 4
Since the measurement can not be negative, therefore y (i.e the width) is 4
This can be solved by using a simple algebraic equation.
For example, in the first column, Caleb worked 5 hours. We do not know how much he makes per hour, so let that be x. He earned a total of $36.25, so the equation can be written as 5x=36.25.
Divide by 5 on both sides, and you get x= 7.25
He earns $7.25 per hour of work.
Repeat this for all the workers:
Jeremy: 7.5x=65.25
x= $8.70
Maria: 4.25x=34.00
x= $8
Rosa: 8x=54.00
x= $6.75
Jeremy has the greatest hourly rate
The answer is a because the compliment is the other part of the 180 degree half circle, and if it's acute it has to be smaller than its compliment
Answer:
The answer is D
Step-by-step explanation:
