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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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6 squared divided by 2(3) plus 4 =
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6²/2(3) +4

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8 0
3 years ago
Kelly has 50% more money than Luis. Luis has $40. If Luis gets $8 more, will Kelly still have more money than Luis? What percent
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Answer:

Kelly will still have more money than Luis

Kelly will have 25% more

Step-by-step explanation:

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and Kelly has 50% more money than Luis

Therefore, Kelly has;

50% of $40 + $40

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If Luis gets $8 more, Luis will have;

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Difference in their money = $60 - $48 = $12

Therefore, Kelly will have;

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8 0
3 years ago
There are two rows of 8 chairs set up in the library for a puppetshow how many chairs are set up use the distributive property t
laila [671]
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I would write down both answers if your not sure which one it is :)
7 0
2 years ago
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If one liter of water was poured equally into 1,000 small cubes, then each cube would contain:
lianna [129]
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