MATHEMATICS HIGH SCHOOL

Machine X makes 300 boxes in 3 mins and machine Y makes 300 boxes in 2 mins. With both machines working, how long will it take to make 300 boxes?

Answers

Answer 1
Answer: -- Machine-X takes 3 minutes for 300 boxes . . . 3/300 = 1/100 minute per box.
-- Machine-Y takes 2 minutes for 300 boxes . . . 2/300 = 1/150 minute per box.

-- 3/150 = 2/100 . . . In 3/150 second, they can make 5 boxes by working together.

-- They need to make 5 boxes (300/5) = 60 times.
-- They'll need to work for 60 times (3/150) minutes.

60 (3/150) = 180/150 = 1.2 minutes = 1 minute and 12 seconds.

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Suppose that the adult population is 4 million, the number of unemployed is 0.25 million, and the labor-force participation rate is 75%. What is the unemployment rate? a. 8.3% b. 18.75% c. 6.25% d. 9.1%

Answers

Answer:

a. 8.3%

Step-by-step explanation:

Unemployment rate is the percentage of unemployed people amongst those who are available for work (labour force participation) not just the entire population.

So firstly we find the people who are available for work from the total population = (75)/(100) * 4 000 000 = 3 000 000

Then we find the unemployment rate:

(number of unemployed people)/(number of people available to work)*100 = (250000)/(3000000)*100 = 8.3%

Final answer:

The unemployment rate is calculated by dividing the number of unemployed individuals by the total labor force, not the total adult population. In the scenario given, the unemployment rate is 8.3%.

Explanation:

The question asks for the calculation of the unemployment rate given an adult population of 4 million, 0.25 million unemployed, and a labor-force participation rate of 75%. It's essential to note that the unemployment rate is calculated as the number of unemployed people divided by the people in the labor force, not the total adult population.

In this case, considering the labor-force participation rate is 75%, we need to first calculate the total labor force. 75% of the adult population equals 3 million individuals (0.75 * 4 million). After that, the unemployment rate can be calculated by dividing the number of unemployed individuals by the labor force and then multiplied by 100 to get it in percentage terms. This results in (0.25 million / 3 million) * 100 = 8.3%

So, the answer is a. 8.3% is the unemployment rate.

Learn more about Unemployment Rate here:

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Answer this pls.In a class there are 25 females and 70 males . If females avarage is 50 and boys avarage 70, find the mean of the entire class?​

Answers


Answer:

the mean of the entire class is approximately 64.74.

Step-by-step explanation:
To find the mean of the entire class, we'll calculate the overall average by considering the total number of students and their average scores.

Total number of students = 25 (females) + 70 (males) = 95 students

Total score of females = 25 (females) * 50 (average score) = 1250

Total score of males = 70 (males) * 70 (average score) = 4900

Total score of the entire class = 1250 (females' total score) + 4900 (males' total score) = 6150

Mean of the entire class = Total score of the entire class / Total number of students = 6150 / 95 ≈ 64.74

So, the mean of the entire class is approximately 64.74.

The force of gravity on the moon is approximately one sixth that of earth. the direct variation equation for weight on earth compared to wait on the moon is e=6m, where the e weight on the earth and m= weight on the moon what would be the weight of a 180 pound man on the moon

Answers

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After the 30% discount was applied, Patricia paid $45.50 for the ring. What was the original price of the ring

Answers

45.50*.30 = 13.65
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Answers

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Answers

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