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shepuryov [24]
3 years ago
9

Sally can paint the wall in 54 minutes. If Sally and Ethan work together, they can paint the wall in 36 minutes. How much time d

oes it take for Ethan to paint the wall by herself?
Mathematics
1 answer:
MAXImum [283]3 years ago
6 0

Answer:

108\ minutes

Step-by-step explanation:

1) we know that

Sally can paint the wall in 54 minutes

so

The 100% of the wall ------> she can paint in 54 minutes

by proportion

calculate how much is the percent of the work in 36 minutes

\frac{100\%}{54} =\frac{x\%}{36}\\ \\x=36*100/54\\ \\x=66.67\%

That means

Sally in 36 minutes can paint the 66.67% of the wall

2) Sally and Ethan work together, they can paint the wall in 36 minutes

so

Ethan in 36 minutes can paint (100%-66.67%)=33.33%

by proportion

Calculate how much time does it take for Ethan to paint the wall by herself

\frac{33.33\%}{36} =\frac{100\%}{x}\\ \\x=36*100/33.33\\ \\x=108\ minutes

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koban [17]
<h3>Answer:  280</h3>

Work Shown:

x = number of students in the 6th grade class

30% = 30/100 = 0.30

30% of x = 0.30x this is equal to 84 since "30% of the 6th graders are boys (and there are 84 boys in sixth grade)", so we say 0.30x = 84

Divide both sides by 0.30 to isolate x

0.30x = 84

0.30x/0.30 = 84/0.30

x = 280

So there are 280 students overall in the 6th grade class.

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4 years ago
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Answer:

The ones 1 1/12, 1/12, 10 1/3, and 1 1/9, all go in the less than 10 1/2. And three numbers marked 10 1/2 go in the greater than 10 1/2

Step-by-step explanation:

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3 years ago
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Jake made some tarts. He sold 3/5 of them and gave 1/4 of the remainder to his friends. If he had 150 tarts left, how many did h
lubasha [3.4K]

Answer:

300 tarts

Step-by-step explanation:

we must solve this equation by going backwards

3/4 of something (as 1/4 was given away) is 150

150 / 3/4 is what you must do

or

150 * 4/3

that is

200

3/5 was sold so 2/5 was left

2/5 of something is 200

200 / 2/5

200 * 5/2

that is

500

3/5 of that was sold

so

500 * 3/5 is 300

300 tarts were sold

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2 years ago
The record hgh temperature for Detroit, Michigan was 99° F. The record low was - 27 degrees F. What is the difference between th
dimaraw [331]

Answer:

126

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3 years ago
The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on
Maurinko [17]

Answer: The mean difference is between 799586.3 and 803257.9.

Step-by-step explanation: To estimate the mean difference for confidence interval:

Find the statistic sample:

  • d = value of 6th - value of 13th;
  • Sample mean of difference: mean = ∑d / n
  • Sample standard deviation: s = ∑(d - mean)² / n - 1;

For the traffic count, mean = 1835.8 and s = 1382607.3

The confidence interval is 90%, so:

α = \frac{1-0.9}{2}

α = 0.05

The degrees of dreedom are:

df = n - 1

df = 10 - 1

df = 9

Using a t-ditribution table, the t-score for α = 0.05 and df = 9 is: t = 1.833.

Error will be:

E = t.\frac{s}{\sqrt{n} }

E = 1.833.(\frac{1382607.3}{\sqrt{10} })

E = 801422.1

The interval is: mean - E < μ < E + mean

1835.8 - 801422.1 < μ < 1835.8+801422.1

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The estimate mean difference in trafic count between 6th and 13th using 90% level of confidence is between 799586.3 and 803257.9.

3 0
4 years ago
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