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mars1129 [50]
3 years ago
15

It took Margie 2 1/4hours to write a 1 1/2 page research paper . What was her hourly writing rate

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0


Margie would take 1 hour and 30 minutes to write 1 page of her research paper. Think of it like a proportion:

2.25/ 1.5 = x/1

2.25 is the 2 1/4 converted which is the amount of hours she took.

1.5 is the 1 1/2 converted which are the amount of pages she wrote total.

1 on the right side of the proportion represents  1 page.

And x are the amount of hours used  to write 1 page.

And in solving that proportion  it would result in 1.5 or 1hr. and 30 min.


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8 + 4f = 3f solve for f
navik [9.2K]

Answer:

f=-8

Step-by-step explanation:

8+4f=3f

8+4f-4f=3f-4f (Subtract 4f from both sides of the equation to isolate f)

8=-f (Simplify)

-f=8 (Symmetric Property of Equality)

\frac{-f}{-1} =\frac{8}{-1} (Divide both sides of the equation by -1 to get rid of f's coefficient; remember that -f=-1*f, so -f has a coefficient of -1)

f=-8 (Simplify)

Hope this helps!

4 0
3 years ago
Read 2 more answers
Shannon went to an auto repair shop and paid $339.50, which included parts that cost $112 and 3.5 hours of labor. Joni went to a
Illusion [34]

Answer:

Option A, Shannon paid $ 7 per hour to labor than Joni

Step-by-step explanation:

Total amount paid by Shannon = $339.50

Total cost of 3.5 hours of labor paid by Shannon =($339.50- $112)

Total cost of 3.5 hours of labor paid by Shannon = $227.5/3.5

Total cost of 1 hours of labor paid by Shannon  $65 per hour

Total amount paid by Joni = $455

Total cost of 2.5 hours of labor paid by Joni =  $455- $$310

Total cost of 1 hours of labor paid by Joni = $145/2.5

Total cost of 1 hours of labor paid by Joni = $ 58

Hence, Shannon paid $ 7 per hour to labor than Joni

Option A is correct

8 0
3 years ago
NEED HELP IN MATH , SERIOUS ANSWERS PLEASE
Damm [24]
The answer would be they are congruent. 

It's because there was no vertical/horizontal stretch and compression listed in the problem's transformations. The figure was translated throughout the graph. 

4 0
3 years ago
Read 2 more answers
Evaluate and simplify <br><br> F(x)=3-6x^2 for f(x+3)
Olegator [25]

Insert x + 3 instead of x into the equation of the function f(x):

f(x) = 3 - 6x²

f(x + 3) = 3 - 6(x + 3)²

use (a + b)² = a² + 2ab + b²

= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)

use distributive property

= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54

combine like terms

= -6x² - 36x - 51

<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>
4 0
3 years ago
A circle has its center at the center of a square with 12-inch sides. Using 3.14 for pi, find the area of the square not covered
Dmitrij [34]
So first, find the area of the square. 12x12= 144inches^2
Then find the area of the circle. To do this we use pi x r^2. The radius of the circle is 6 inches. Pi x 6^2 = 113.04inches^2.
144 - 113.04 = 30.6, so your answer is 30.6 inches^2

The circles circumference is worked out by using pi x d. The diameter is 12 inches, so 3.14x12 = 37.68 inches.
The squares perimeter is 12 x 4 = 48 inches.
If you round up the circumference of the circle to the nearest integer, you get 38 inches. The ratio would therefore be, 38:48, which can be rounded down to 19:24 :)
5 0
3 years ago
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