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Anni [7]
3 years ago
8

Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 mi

nutes, while it would take Simon 30 minutes to do the job working alone. If Sophie and Simon work together to peel the potatoes, how long will it take them?
Mathematics
2 answers:
natima [27]3 years ago
5 0

Answer:

18 Minutes

Step-by-step explanation:

Simon and sophie each do a fraction of the job per minute like this:

-Simon does \frac{1}{30} per minute (if we multiply this by 30 we have the completed job)

-Sophie does \frac{1}{45} of the job per minute (again if we multiply this by 45 we have the completed job)

We will add this two to know how much of the job they do together in a minute:

\frac{1}{30}+\frac{1}{45}=\frac{1}{18}

They will do \frac{1}{18} of the job per minute.

So the total time will be when they do \frac{18}{18}=1, we can put this in one equation like this:

\frac{1}{18}x=1

where x is the total times we need to do\frac{1}{18} of the job to complete it. We solve for x:

x=18minutes

Zanzabum3 years ago
4 0

Answer:

18 Minutes

Step-by-step explanation:

I did the test

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ratelena [41]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
For the following hypothesis test, determine the null and alternative hypotheses. Also, classify the hypothesis test as two-tail
bagirrra123 [75]

Answer:

Option B:

H_0: \mu = 22.1

H_a: \mu \neq 22.1

Classification:

The hypothesis test is Two-tailed.

Step-by-step explanation:

The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.

This means that the null hypothesis is that the mean is of 22.1 months, that is:

H_0: \mu = 22.1

A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.

At the alternate hypothesis, we test if this mean is different of 22.1, that is:

H_a: \mu \neq 22.1

Which means that the answer is given by option b).

Which of the following is the correct classification of the hypothesis test?

We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.

7 0
3 years ago
The Difference BETWEEN the CI and SI on a Certain sum of money for 2 years at 15% per annum is RS.180.Find the sum
klio [65]

Step-by-step explanation:

when the difference between CI and SI given then the sum =

difference (100/r)^2

given difference is Rs . 180

Rate of interest is 15%

sum = 180× (100/15)^2

180×10000/225

= 8000

8 0
2 years ago
Angles X and Y are congruent. Imported Asset and Imported Asset . Find the degree measure of angle X.
Sphinxa [80]
You can use a diffrent kind of ruler for math then you could find the answer.
8 0
2 years ago
Amanda can jog 18 miles in 5 hours.<br> At this rate, how many miles can Amanda jog in 4 hours?
vekshin1

Answer:

14.4 miles

Step-by-step explanation:

5 goes into 18 3.6 times and 3.6 x 4 = 14.4, she can run 3.6 miles per hour

3 0
3 years ago
Read 2 more answers
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