The populations of two cities after t years can be modeled by -150t+50,000 and 50t+75,000 . What is the difference in the populations of the cities when t=4 ?

Answer:

The difference in the populations of the cities when t=4 is 25,800.

Step-by-step explanation:

Given equations each of the city:

-150t+50,000

and

50t+75,000

To find the difference between the population when t=4, we first have to solve both equation when t=4.

For both equations, substitute 4 into t:

-150(4) + 50,000 = 49,400

50(4) + 75,000 = 75,200

Now subtract 49,400 from 75,200 and you get 25,800.

The difference in the populations of the cities when t=4 is 25,800.

Two cubes with edge lengths of 3 centimeters and 2 centimeters are placed on top of each other is shown. What is the surface area of the resulting figure?

List the coordinates for letter Q

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During a sale, a clothing store discounts all prices by the same percentage. A pair of jeans is marked down from $45 to $33.75. What is the sale price for a $65 sweater after the same discount is applied?

(Pls Help ASAP) ( If you don't know don't Answer) Giving 10 points for 2 answers

simplify 5 1/2 - 2 3/4

Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 square inches and the surface area of the pyramid is 84 square inches.

1. Which surface is shared by the two solids? What are the dimensions of this surface?

2. There is another surface that Molly does not need to paint, because it won’t show when she displays the model house. Describe that surface, and explain why it doesn't need to be painted.

3. To find the area Molly needs to paint, she should add the surface areas of both solids and subtract:

twice the area of the triangle
twice the area of the square
three times the area of the square
the area of the square

4. Find the area Molly needs to paint. Show your work, and be sure to include units with your answer.

Oh and here's an image to help you out

Which belief did Cato have about enslavement?

Enslavement is harder when enslaved people have already tasted freedom.

Enslavement was unnecessary because Pennsylvania's economy relied on shipping rather than farming.

Enslavement should be banned because the Pennsylvania Bill of Rights applied to all people.

Enslavement would eventually result in lots of rebellions and lead to the deaths of many enslavers.




How did Nat Turner influence change in the nineteenth century?

He led a rebellion against white enslavers that led to harsher enslavement laws.

He organized the Free African Society.

He wrote books about his life as an enslaved person.

He led a mission to free enslaved people during the Civil War.



How did Harriet Beecher Stowe influence the abolitionist movement?

She wrote a book that showed the horrors of enslavement.

She helped people escape enslavement in Ripley, Ohio.

She freed enslaved people on the Underground Railroad.

She wrote an abolitionist newspaper.



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Brody earns $14 per hour for the first 40 hours worked in a week and $21 per hour for any hours over 40 that he worked. Brody earned $812 for one week. How many overtime hours did Brody work that week?

Farmer Elentire had mimstoons on her farm. As days (X) increased,
the total count of mimstoons (Y) changed. The equation (rule) that
represents this relationship is:
Y = 8x + 18
Fill in the table based on this relationship:

Lauren recorded the price of a gallon of milk at two grocery stores for four weeks.


show your work!!


On average, which grocery store had a better price for milk and by how much?


Discount Mart by $0.08 per gallon


Super Store by $0.08 per gallon


Discount Mart by $0.40 per gallon


Super Store by $0.40 per gallon

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18. Classify Each Angle Pair then find the value of X

what is the difference between 4 hundredths and 8 ten thousandths?

Find the area of the shaded region. Round your answer to the nearest hundredth

Pablo surveyed his class to find out how many movies each student watched last year. He recorded the results in the dot plot below.



Use the dot plot to complete the sentences.

There were 10 students who watched
movies.

There were more students who watched 5 to 7 movies than students who watched
movies.

Exactly half the class watched
movies.

Please help me solve this

3. Find Each Angle Measure

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An experiment involves flipping a coin three times.
The following tree diagram shows the possible outcomes for the experiment

What is the probability of getting exactly 2 tails?

Enter your answer as a reduced fraction, like this: 3/14

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What is the area of the reduced triangle?
24 cm?
O 60 cm?
O 75 cm?
O 375 cm?

Hello everyone can you answer this for me? What is A in the equation attached? Please and thank you.