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Yakvenalex [24]
3 years ago
9

5) Mario owns a plumbing business. He charges an hourly rate plus a onetime set up fee. His first job was 4 hours and he charged

$450. His second job was 3 hours and he charged $675. If his set up fee is $150, how much does he charge per hour?
Mathematics
1 answer:
Wittaler [7]3 years ago
5 0

Answer:

Results are below.

Step-by-step explanation:

<u>First, we need to calculate the variable income per job:</u>

<u />

First job= 450 - 150= 300

Second job= 675 - 150= 525

<u>Now, the hourly rate:</u>

<u></u>

Hourly rate= total variable income / number of hours

First job= 300 / 4= $75

Second job= 525 / 3= $175

It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour

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The circumference of a circle is 65?. In terms of pi, what is the area of the circle?
iVinArrow [24]

Answer:

1056.25π square units

Step-by-step explanation:

A few formulas an definitions which will help us:

(1) \pi=\frac{c}{d}, where c is the circumference of a circle and d is its diameter

(2) A=\pi r^2, where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3) d=2r \rightarrow r=\frac{d}{2}.

We can rearrange equation (1) to put d in terms of π and c, giving us (4) d = \frac{c}{\pi}, and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:

A=\pi r^2\\=\pi\left(\frac{d}{2}\right)^2\\=\pi\left(\frac{d^2}{4}\right)\\=\pi\left(\frac{(c/\pi)^2}{4}\right)\\=\pi\left(\frac{c^2/\pi^2}{4}\right)\\=\pi\left(\frac{c^2}{4\pi^2}\right)\\\\=\frac{\pi c^2}{4\pi^2}\\ =\frac{c^2}{4\pi}

We can now substitute c for our circumference, 65, to get our answer in terms of π:

A=\dfrac{65^2}{4\pi}=\dfrac{4225}{4\pi}=1056.25\pi

8 0
3 years ago
Read 2 more answers
A) Write down 375 as the product of prime factors.
ddd [48]

Answer:

a) 3x5³

b) 75

Step-by-step explanation:

a) find the Prime factors of 375 by dividing your number by prime numbers (you answers must be whole) use a factor tree to help you

a) do the same to 150

one you have you answers in this case we have

375- 3x5x5x5

150 - 2x3x5x5

you collect all the like terms, this will be 3x5x5 then you just simply multiply it And it gives you 75

6 0
4 years ago
in their last game the new england patriots scored 9 points in the first half they scored two times the points in the first half
svetoff [14.1K]

Answer:

The correct answer would be 3:5

Step-by-step explanation:

It is asking about the second half to the total number of points scored.

first half : 9

second half : 15

9:15 = 3:5

5 0
3 years ago
How do i solve these? i have no idea
Elanso [62]

Answer:

you multiply side by side by side

<em><u>Happy Valentine's Day My Love!!!<3<3</u></em>

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP!
Oksana_A [137]

Answer:

Plumber A

C. y=(150+40)x

Plumber B

B. y=40x+150

5 0
3 years ago
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