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Vesnalui [34]
4 years ago
7

A movie theater has a seating capacity of 323. The theater charges $5.00 for children, $7.00 for

Mathematics
1 answer:
Sonja [21]4 years ago
4 0

Answer:

The number of adults is 87, children is twice that amount (174), and the difference (62) is children.

Step-by-step explanation:

Let a be the number of adults.  So, 2a is the number of children.  323 - 3a is the number of students.

5(2a) + 7(323 - 3a) + 12a = 2348

10a + 2261 - 21a + 12a = 2348

a = 87

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Simplify for Y.<br><br> 9y^3=-21-3x
Hitman42 [59]

Simplifying for y we get y=-\sqrt[3]{\frac{(7+x)}{3}}

Step-by-step explanation:

We need to solve for the value of y

9y^3=-21-3x

Taking -3 common on right side of equation

9y^3=-3(7+x)

Dividing both sides of equation by 9

y^3=-\frac{3(7+x)}{9}

y^3=-\frac{(7+x)}{3}

Taking cube root on both sides:

\sqrt[3]{y}=-\sqrt[3]{\frac{(7+x)}{3}}\\ y=-\sqrt[3]{\frac{(7+x)}{3}}

So, Simplifying for y we get y=-\sqrt[3]{\frac{(7+x)}{3}}

Keywords: Simplify the equations

Learn more about Simplify the equations at:

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3 years ago
Solve the equation.<br> d divided by 3 = 139<br> d =<br><br> (Type a whole number.)
wolverine [178]

Answer:

417

Step-by-step explanation:

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7 0
3 years ago
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Can someone be awesome and help me please :/ ?????
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Answer:

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4 years ago
Use the chart below to answer the following questions...
Scilla [17]

a) Smith family spend  \$11208 per year to raise their child from 5 to 18 years old.

b) If the family decides to send their child to a 4-year public college, they will spend \$7500 per year

c) Valnez family will be pay \$12517 per year to raise the child from birth to 18 years old

d) \$15714 is the cost per year of raising a child from birth to 18 years old, and paying for 4 years of private college

Step-by-step explanation:

Part a) How much will the Smith family spend per year to raise their child from 5 to 18 years old? Round to the nearest dollar.

The cost from 5 to 18 years old is $145,700

Per year cost will be:

Divide the total amount by the number of years from 5 to 18 years. i.e 18-5 = 13 years

Cost per year: \frac{145700}{13}

Cost per year:\$11208

So, Smith family spend  \$11208 per year to raise their child from 5 to 18 years old.

Part b) If the family decides to send their child to a 4-year public college, how much will they spend per year?

The cost of 4 year Public College $30,000

Cost per year: \frac{30000}{4}

Cost per year: \$7500

So, If the family decides to send their child to a 4-year public college, they will spend \$7500 per year

Part c) How much will the Valnez family pay per year to raise the child from birth to 18 years old

Cost from Birth to 5 years old $79,600

Cost from 5 to 18 years old $145,700

Total\,\,cost = \$79,600+\$145,700\\Total\,\,cost =\$225300

Total years: 18

Cost per year: \frac{225300}{18}

Cost per year: \$12517

Valnez family will be pay \$12517 per year to raise the child from birth to 18 years old

Part d) What is the cost per year of raising a child from birth to 18 years old, and paying for 4 years of private college? Round to the nearest dollar.

From birth to 18 years (found in part c)

Cost from birth to 18 years: $225300

Cost of 4-year Private College: $120,400

Total Cost: \$225300+\$120,400

Total Cost: \$345700

Total years: 18+4 = 22

Cost per year: \frac{345700}{22}

Cost per year: \$15714

\$15714 is the cost per year of raising a child from birth to 18 years old, and paying for 4 years of private college

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3 years ago
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ella [17]

Answer:

0.4

Step-by-step explanation:

8 0
3 years ago
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