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Nonamiya [84]
3 years ago
6

108 is 36% of what number? Write and solve a proportion to solve the problem

Mathematics
1 answer:
eduard3 years ago
6 0
108 = .36x
divide both sides by .36
300 = x
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An assembly line produces 2 toasters per minute. It is 2:00pm and the line has finished 560 out of its goal of 900 for the day.
LenaWriter [7]

Answer:

I won't stop the line for a half hour break.

Step-by-step explanation:

<u>Proportions</u>

One quantity A is said to be proportional to other B if A can always be obtained by multiplying or dividing B by any constant number. Numbers {4,8,12} are proportional to {2,4,6} because they can be computed as twice their value

.

There is a situation described in the problem where we need to know if there will be enough time to produce the 900 toasters (the goal for the day) when the assembly line is stopped by half an hour.

Actual time: 2:00 pm

Final time: 5:00 pm

Rate of production: 2 toasters/minute

Actual production: 560 toasters

Updated goal: 900-560 = 340 toasters  

Those 340 toasters must be produced in the remaining 3 hours (180 minutes) of work. If the assembly line stops for half an hour (30 minutes), there will be only 150 minutes to finish the goal production. At a rate of 2 toasters/minute, there will be 2*150 = 300 toasters produced. But we need to produce 340 more toasters, so that break cannot be granted or we'll be 40 toasters under goal.

It the line keeps producing for 180 minutes, it would produce 2*180 = 360 toasters, 20 more than the goal.

Note: The maximum break time that can be granted is 20/2 = 10 minutes

4 0
3 years ago
Help me please i need help read carefully and answer right plz and show proof or evidence
iragen [17]

Answer:

its b because the answer for y needs to change in order for the x column to be true

6 0
3 years ago
Which rate is the lowest price?
m_a_m_a [10]

a. 1.15

b. 6.20 divided by 4 = 1.55

c. 5 divided by 4 = 1.25

d. 5.50 divided by 5 = 1.1


D is correct

6 0
3 years ago
Read 2 more answers
What is the explicit rule for the sequence?
scZoUnD [109]
Hello, sorry this is a little late!

I believe the correct answer to your question would best be Option A.

I can confirm this is 100% correct!

Hope this helps and have a great rest of your day :)
5 0
3 years ago
Read 2 more answers
Danielle earns $36.80 for 4 hours of yardwork. MacKenzie earns $50.40 for 6 hours of yardwork.Who earns more money per hour? How
Fantom [35]

Answer:

Danielle earns $1.20 more than Mackenzie (per hour)

Step-by-step explanation:

To find out how much money per hour each person earns, you would divide the earinings by the number of hours;

Danielle: $36.80/4 = $9.20 per hour

MackKenzie: $50.40/6 = $8.40 per hour

To find out how much extra Danielle earns, you would subtract 8.40 from 9.20;

9.40 - 8.20 = $1.20

Thus, Danielle earns $1.20 more than Mackenzie per hour.

6 0
3 years ago
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