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Vilka [71]
2 years ago
14

In a recent year, 31% of all college students were enrolled part-time. If 8.6 million college students were enrolled part-time t

hat
year, what was the total number of college students?
Round your answer to the nearest million.
Mathematics
1 answer:
Ronch [10]2 years ago
5 0

Answer:

28 million college students.

Step-by-step explanation:

We can represent all college students as x. This means that all part-time college students are \frac{31}{100}x. Because all part-time college students are also equal to 8.6 million, we have 8,600,000=\frac{31}{100}x. To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:

8,600,00\cdot\frac{100}{31}=x

The left side of the equation evaluates as 27,741,935.5. Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.

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Wai Kit had $45 more than Cheryl and 0.25 of what Zheng Yi had. If they had $510 altogether, how much less money did Cheryl have
GenaCL600 [577]

Step-by-step explanation:

Wai 1unit+45

Cheryl 1unit

Zheng 4units+180

Altogether 6units+225=510

6units = 510-225

6units=285

1unit=285÷6

= $47.5

So Wai =47.5+45 = 92.5

Cheryl =47.5

Zheng =4×47.5+180 =370

370-47.5=$322.5

Answer $322.5

4 0
2 years ago
The length of each side is quadrupled. How many times larger is the new area when compared to the original?
GaryK [48]

16 times larger is the new area when compared to the original.

Given that, the length of each side of the square is quadrupled.

We need to find how many times larger is the new area when compared to the original.

<h3>What is the area of a square?</h3>

A square is a closed two-dimensional shape with four equal sides and four equal angles. The four sides of the square form the four angles at the vertices. The sum of the total length of the sides of a square is its perimeter, and the total space occupied by the shape is the area of the square. The formula to calculate the area of a square is a².

Let the length of each side of the square be x.

Then the length of each side of the new square will be 4x.

Now, the area of the original square = x²

The area of the new square = (4x)² = 16x²

So, the new square = 16 × the original square

Therefore, 16 times larger is the new area when compared to the original.

To learn more about the area of a square visit:

brainly.com/question/1561162.

#SPJ1

5 0
1 year ago
The perimeter of a rectangular painting is 310 centimeters. If the width of the painting is 56 centim
gtnhenbr [62]

Answer:

The length is 99 cm

Step-by-step explanation:

The perimeter of a rectangle is

P = 2 (l+w)

310 = 2( l+56)

Divide each side by 2

310/2 = 2/2( l+56)

155 = l+56

Subtract 56

155-56 = l+56-56

99 = l

7 0
3 years ago
Read 2 more answers
A hot air balloon went from an elevation of 6,678 feet to an elevation of 3,438 feet in 48 minutes. What was its rate of descent
gregori [183]

Answer:

The rate  of descent is -67.5\frac{feet}{minute}

Step-by-step explanation:

we know that

The formula to calculate the rate or slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

Let

x------> the time in minutes

y----> the elevation in feet

we have

A(0,6,678)\ B(48,3,438)

Substitute the values

m=\frac{3,438-6,678}{48-0}

m=\frac{-3,240}{48}

m=-67.5\frac{feet}{minute}

4 0
3 years ago
Write the ratio as a fraction in simplest form. 32:42
maks197457 [2]
16/21 is your answer

You can take a 2 out of both numbers to get your answer

I hope this helped! :)

3 0
3 years ago
Read 2 more answers
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