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Sonbull [250]
3 years ago
14

The admission fee at a movie theater is $2.50 for children and $7.00 for adults. On a certain day, 2100 people enter the theater

and $7950 is collected. How many children and how many adults attended
Mathematics
1 answer:
alexdok [17]3 years ago
7 0
Make two equations
C = children, A = adults
2.50C + 7.00A = 7950
(C + A = 2100) * 2.5
2.50C + 2.50A = 5250
Use elimination
4.5A = 2700, A = 600
2100 - 600 = 1500
Solution: 600 adults, 1500 children
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The city of Yorkton, Saskatchewan, has an area of 24.0 km^2. If this city were a perfect square, what would it’s exact perimeter
Elis [28]

Answer:

8\sqrt{6}  inches

Step-by-step explanation:

Let l represent the length of the square

The area of a square = l^2

That means,

l^2 = 24 km^2

Take the square root of both sides

l = \sqrt{24}

l = \sqrt{4*6

l = \sqrt{4} *\sqrt{6}

l = 2\sqrt{6}

Now lets find the perimeter

Perimeter of a square, P = 4l

P = 4* 2\sqrt{6}

P = 8\sqrt{6} inches

3 0
3 years ago
Estimate the product by rounding 9 times 54
crimeas [40]
You estimate the product by rounding to the nearest 10:

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7 0
3 years ago
WHAT IS 3/8 DIVIDED BY 1/2
serious [3.7K]

Answer: 3/4

Step-by-step explanation: Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the divison sign to multiplication and flip the second fraction.

So here, 3/8 divided by 1/2 can be rewritten as 3/8 × 2/1.

Now we are simply multiplying fractions so we multiply across the numerators and we multiply across the denominators.

So we have 3 × 2 which is 6 and 8 × 1 which is 8. Since 6/8 is not in lowest terms, we divide the numerator and the denominator by the greatest common factor of 6 and 8 which is 2 and we get the equivalent fraction 3/4.

Therefore, 3/8 divided by 1/2 is 3/4.

7 0
3 years ago
There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow
Ivanshal [37]
If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

\frac{8yellow}{20total} = \frac{Xyellow}{100total}

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

\frac{8yellow}{20total} = \frac{Xyellow}{100total} \\ 8yellow*100total=20total*Xyellow

Finally, solve for x:

8yellow*100total=20total*Xyellow \\ 8*100=20*x \\ 800=20x \\ 800/20=20x/20 \\ x=40yellow

If you had 100 balloons, you will have 40 yellow balloons.

Hope this helps!!
6 0
3 years ago
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fenix001 [56]

the answer for this is 84915

3 0
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