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aksik [14]
3 years ago
10

A group of college students are volunteering for Help the Homeless during their spring break. They are putting the finishing tou

ches on a house they built. Working alone, Irina can paint a certain room in 9 hours. Paulo can paint the same room in 8 hours. Write an equation that can be used to find how long it will take them working together to paint the room. How many hours will it take them to paint the room? If necessary, round your answer to the nearest hundredth
Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
8 0
Since Irina can paint 1 room in 9 hours, that means she paints 1/9 of the room in 1 hour.  Her portion of the equation would be 1/9x, with x being the number of hours she works and 1/9 of a room per hour being her speed.
Since Paulo can paint 1 room in 8 hours, that means he paints 1/8 of the room in 1 hour.  His portion of the equation would be 1/8x, with x being the number of hours he works and 1/8 of a room per hour being his speed.
The equation would then be 1/9x + 1/8x = 1 (Irina's portion of the room, plus Paulo's portion of the room, equal to one whole room).
Find a common denominator.  72 is the first number that both 9 and 8 divide evenly into.  Since 9*8 = 72, we multiply the top of 1/9 by 8 to convert the fraction and get 8/72x.  Since 8*9 = 72, we multiply the top of 1/8 by 9 to convert the fractio and get 9/72x.  We now have 8/72x+9/72x=1
17/72x=1
Divide both sides by 17/72:
17/72x ÷ 17/72 = 1÷17/72
x=1/1 ÷ 17/72
x=1/1 * 72/17
x=72/17=4.24
Together it should take them 4.24 hours.
Inessa [10]3 years ago
4 0

Answer:

1. B

3. B

4. A

5. C

7. C?

13. D

Step-by-step explanation:

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Consider the triangle below.
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The measure of angle P is 29 degrees

The sum of an interior angle of a triangle is 180 degrees. Given the following parameters:

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Taking the sum and equating to 180 degrees:

m<M + m<N + m<P = 180 degrees

15x + 5 + 3x + 2 + 5x - 11 = 180

23x - 4 = 180

23x = 184

x = 184/23

x = 8

Get the measure of m<P

m<P = 5x - 11

m<P = 5(8) - 11

m<P = 40 - 11

m<P = 29 degrees

Hence the measure of angle P is 29 degrees

Learn more on angles here: brainly.com/question/25770607

7 0
2 years ago
What time is 17 hours after 1:00 p.m?
lana66690 [7]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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For the purpose of determining the value of its end-of-year inventory, a clothing store creates a list at the end of the year of
weeeeeb [17]

Answer:

e. A census, because the wholesale prices of all items are listed.

Step-by-step explanation:

A census encompasses collecting data of an entire population as well evaluation of the characteristics of an entire population. Every item currently in store alongside their wholesale price was included in the survey here. None was excluded. So we cannot call the activity a sample survey. Since all items were counted, the best description to give to this activity is "a census".

3 0
2 years ago
The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park
Andreas93 [3]

Answer:

Step-by-step explanation:

We have total 1200 wildflowers in first year that is first term a  is 1200

We have to find sigma notation  showing the infinite growth of the wildflowers.

wildflowers=\sum_{i=1}^{\infty }1200(\frac{1}{4})^{i-1}

Formula for infinite sum of GP is S_{\infty}=\frac{a}{1-r}

Here, a=1200,r=\frac{1}{4}

On substituting the values in the formula of sum we get:

S_{\infty}=\frac{1200}{1-\frac{1}{4}}

On simplification we get:

S_{\infty}=\frac{1200}{\frac{3}{4}}=1600

Therefore, total sum of wildflowers 1600.

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3 years ago
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