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damaskus [11]
2 years ago
7

Someone please help if your smart!!​

Mathematics
1 answer:
ASHA 777 [7]2 years ago
6 0

Answer:

brainly.com/question/12500028

Step-by-step explanation:

brainly.com/question/12500028

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It takes Sue, Jeff and Todd 4 hours to paint a room together. If it takes Sue 10 hours by herself and Jeff 12 hours by himself,
diamong [38]

The number of time it would take Todd to paint the room alone is 15 hours.

  • Let the Todd's time be t.

<u>Given the following data:</u>

  • Combine time = 4 hours
  • Sue's time = 10 hours
  • Jeff's time = 12 hours

To calculate the number of time it would take Todd to paint the room alone:

How to solve a word problem:

In order to solve this exercise, we would first of all calculate their individual rate and combined rate respectively. Finally, we would add their individual rates together and equate it to the combined rate.

<u>For </u><u>Sue</u><u>:</u>

Rate = \frac{1}{10} \;work/hr

<u>For </u><u>Jeff</u><u>:</u>

Rate = \frac{1}{12} \;work/hr

<u>For </u><u>Todd</u><u>:</u>

Rate = \frac{1}{t} \;work/hr

<u>Combined rate:</u>

Rate = \frac{1}{4} \;work/hr

Adding the individual rates, we have:

\frac{1}{10} +\frac{1}{12} +\frac{1}{t} =\frac{1}{4} \\&#10;\\&#10;

Multiplying all through by 120t, we have:

12t+10t+120=30t\\&#10;\\&#10;22t+120=30t\\&#10;\\&#10;120=30t-22t\\&#10;\\&#10;120=8t\\&#10;\\&#10;t=\frac{120}{8}

t = 15 hours.

Read more on word problems here: brainly.com/question/13170908

5 0
2 years ago
Find a number such that one-half of the number is 9 less than two-thirds of the number
dimulka [17.4K]
Let's say, the number is "a"
thus        \bf \cfrac{1}{2}a=\cfrac{2}{3}a-9\implies \cfrac{a}{2}=\cfrac{2a}{3}-9\implies \cfrac{a}{2}=\cfrac{2a-27}{3}

cross-multiply and solve for "a"
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3 years ago
Which is a graph of y=-1/2x- 2?
cricket20 [7]

Answer:

the first one

y-intercept (0,-2)

x-intercept (-4,0)

8 0
2 years ago
What is the value of 9x÷y³?
scoundrel [369]
I think the answer is:
Y=0
8 0
3 years ago
Factor the polynomial: -43 - 3x2 - 4x
ASHA 777 [7]

Answer:

-3x^2-4x-43

Step-by-step explanation:

factor out the negative signs

remove parenthesis

5 0
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