1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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:

You might be interested in
Based on the table, which function represents the same relationship? The x column has 0, 1, 2, 3. The y column has 0.0625, 0.25,
Sladkaya [172]
The answer is c. I hope u get it right
8 0
3 years ago
Read 2 more answers
here is a list of numbers. 7,12,16,20,27,40,56,64. a work out the difference between the two square numbers in the list. b work
poizon [28]

Answer:

see below

Step-by-step explanation:

7,12,16,20,27,40,56,64

The square numbers are 16 = 4^2   and 64 = 8^2

The difference is 64 - 16 =48

The cube numbers are 27 = 3^3 and 64 = 4^3

64 - 27 =37

4 0
3 years ago
Read 2 more answers
A jar has 15 red marbles,5 blue marbles,10 green marbles.what is the ratio of red marbles to the total number of marbles in simp
Misha Larkins [42]

Answer:

1:2

Step-by-step explanation:

The total number of marbles in the jar can be found by adding all the numbers of marbles given:

15+5+10 = 30

Out of 30 total marbles, 15 are red marbles. We can write the ratio as:

15:30

This ration can be simplified to:

1:2

7 0
3 years ago
What is the ratio of flour to butter in it’s simplest form
miskamm [114]

Answer: you can’t really answer this because you have to how many bags of flour and how many boxes of butter that you have and then youll be able to solve

Step-by-step explanation: maybe if you reword it and edit your question then it’ll make more sense

4 0
3 years ago
From a shipment of 400 light-bulbs, a sample of 80 was selected at random and tested. If 32 light-bulbs in the sample were found
denis-greek [22]
80 x 5 = 400
32 x 5 = 160
so you have about 160 <span>defective bulbs</span>
4 0
3 years ago
Other questions:
  • How do I add: 1/3+1/4?
    7·2 answers
  • Can anybody help me with this problem 324 divided by 2,456?
    7·1 answer
  • what is the equation of a vertical line passing through the point (3, −5)? a. y=-5 b. x=-5 c. y=3 d. x=3
    10·1 answer
  • Simplify the polynomial by combining like terms. Make sure your anwser is in standard form: 4x + 7 - 8x (2) + 2x + 5x (2) - 11
    10·2 answers
  • PLSS HELP THE TEACHER IS ASKING FOR MY ANSWERS CUZ I WAS SUPPOSED TO DO IT AND I NEVER WAS PREPARED PLSSS HELP IM NEXT
    14·1 answer
  • Find the slope and y-intercept. Also, determine if it is Proportional or Non Proportional
    11·1 answer
  • Flocabulary multplying fractions
    7·1 answer
  • Trent has $500 in his savings account. If he spends $25 each week, how much money will he have left after 8 weeks? Explain
    7·2 answers
  • A student sells wrapping paper for $5 per roll and sells 40 rolls. The cost to make the wrapping paper rolls is $3. What is the
    5·1 answer
  • The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!