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yulyashka [42]
3 years ago
8

Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours. How many hour

s would it take Theo’s sister to paint the fence by herself?
Mathematics
1 answer:
Deffense [45]3 years ago
8 0

Answer:

12 hours

Step-by-step explanation:

Let Theo's siste can paint a fence in x times

Given.

Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours.

\frac{1}{x}+\frac{1}{3x} =\frac{1}{9}\\\frac{3+1}{3x} =\frac{1}{9} \\\frac{4}{3x}=\frac{1}{9}

Apply cross multiplication

x=\frac{9\times 4}{3}\\x=\frac{36}{3} \\x=12hours

Theo’s sister to paint the fence in 12 hours.

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If a starting number is 30 and it falls to 11 what % decrease is that?
jonny [76]

Answer:

The question would've given you to what number you should round up your answer.

Answer is:

Whole number:

63%

1 decimal place:

63.3%

2 decimal places:

63.33%

Exact number:

\frac{190}{3}%

Step-by-step explanation:

So the starting no. = 30

Ending no. = 11

In order to evaluate the percentage of decrease we:

(Ending number/starting number) * 100

So:

\frac{11}{30} *100 = \frac{11}{3} *10 = \frac{110}{3}%%

To find the Decrease percentage:

100 % - 110/3 %

= 63.333%

3 0
2 years ago
What is the radius of 22cm of a circle​
algol13

Answer:

11 cm

Step-by-step explanation:

To find radius just divide diameter of 22 by 2. The answer will be 11.

4 0
1 year ago
Read 2 more answers
Find S10 for -1 + -7 + -13 + -19
Alex777 [14]
First we find the common difference...to do this we subtract the first term from the second term. -7 - (-1) = -7 + 1 = -6

now we are going to find the 10th term
an = a1 + (n-1)*d <== formula for finding any term in arithmetic series
a1 = 1st term, d = common difference, n = term we want to find
now we sub
a10 = -1 + (10 -1) * -6
a10 = -1 + (9 * -6)
a10 = -1 - 54 
a10 = - 55

now we will find the sum
Sn = (n (a1+ an)) / 2 <== formula for finding the sum 
S10 = (10(-1 - 55))/2
S10 = (10(-56) / 2
S10 = -560/2
S10 = - 280

so the sum of the first 10 numbers is -280

4 0
3 years ago
Nine is more than twice n.
ella [17]
I hope this helps you


9=n.n

3.3=n.n

n=3
6 0
3 years ago
Please show the answer with the work, GodBless.
Yanka [14]
Well, we know that y=1/2x+5 from the first equation. if we substitute that into the second equation, it becomes 2x + 1/2x +5 =1. solve for x. 2x+1/2x= -4, 2 1/2x=-4, x=-1.6. plug that in to one of the equations. 2(-1.6)+y=1, -3.2+y=1, y=-2.2. the solution is (-1.6, -2.2)
8 0
3 years ago
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