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Akimi4 [234]
3 years ago
6

Doug can paint the living room in 4 hours. it would take elaine 6 hours to paint the same room. how long would it take doug and

elaine, working together, to paint the living room?
Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0
2.4 hours

You can get this by setting up the equation:

x/4 + x/6 = 1

Where x is equal to the amount of hours spent working. In this equation x/4 would be Doug. In 4 hours he would paint on room. x/6 would be Elaine. When you add them together using common denominators, you can find x. 
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In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each
Rudiy27

Answer:

N(t) = 972(1.015)^{t}

Growth function.

The number of students enrolled in 2014 is 1162.

Step-by-step explanation:

The number of students in the school in t years after 2002 can be modeled by the following function:

N(t) = N(0)(1+r)^{t}

In which N(0) is the number of students in 2002 and r is the rate of change.

If 1+r>1, the function is a growth function.

If 1-r<1, the function is a decay function.

In 2002, there were 972 students enrolled at Oakview High School.

This means that N(0) = 972

Since then, the number of students has increased by 1.5% each year.

Increase, so r is positive. This means that r = 0.015

Then

N(t) = N(0)(1+r)^{t}

N(t) = 972(1+0.015)^{t}

N(t) = 972(1.015)^{t}

Growth function.

Find the number of students enrolled in 2014.

2014 is 2014-2002 = 12 years after 2002, so this is N(12).

N(t) = 972(1.015)^{t}

N(12) = 972(1.015)^{12}

N(12) = 1162

The number of students enrolled in 2014 is 1162.

7 0
2 years ago
What is the angle measure of an arc bounding sector with an area of 5pie square miles?
Snowcat [4.5K]

if the diameter is 20, the its radius must be half that or 10.

\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=5\pi \\ r=10 \end{cases}\implies \begin{array}{llll} 5\pi =\cfrac{\theta \pi (10)^2}{360}\implies 5\pi =\cfrac{5\pi \theta }{18} \\\\\\ \cfrac{5\pi }{5\pi }=\cfrac{\theta }{18}\implies 1=\cfrac{\theta }{18}\implies 18=\theta \end{array}

8 0
2 years ago
3x^2 + 6 - 2x + 5x - 4x^2 + 9
Over [174]
3x * 3x = 9x

9x + 6 - 2x + 5x - 4x^2 + 9

9x + 6 - 7x - 4x * 4x + 9

9x + 6 - 7x - 16x + 9

9x + -7x = 2x + 6 - 16x + 9

2x + 6 - 16x + 9

2x + (-3) - 16x

-14x + (-3) is the expression?
4 0
3 years ago
Please answer the following question down below. (25 points)
allsm [11]

Answer:

It's the second answer 0.44444444%.

6 0
2 years ago
Pls help I won't be able to watch you tube this summer. Select all the common denominators for 1/4 and 7/10. Explain.
stepan [7]

The common denominators of ¹/₄ and ⁷/₁₀ are; 20 and 40

<h3>How to find the denominator?</h3>

The numerator of a fraction is the top value while the denominator of a fraction is the value at the bottom.

Now, we want to find the common denominator of ¹/₄ and ⁷/₁₀.

The common denominator can't be less than 4 or 10 and so has to be at least two terms that are divisible by 4 and 10. The next two common denominators that are greater than 10 but divisible by both 4 and 10 are 20.

Read more about denominators at; brainly.com/question/12182689

#SPJ1

5 0
1 year ago
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