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STALIN [3.7K]
3 years ago
7

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5.50 and

each adult ticket sells for $7.50. The auditorium can hold a maximum of 140 people. The drama club must make at least $910 from ticket sales to cover the show's costs. If 66 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses. If there are no possible solutions, submit an empty answer.
Mathematics
2 answers:
miss Akunina [59]3 years ago
8 0

Answer:

Step-by-step explanation:

We are going to assume that the show is sold out.  If 66 student tickets were sold, we only have 74 adult tickets to sell.  Based on that information, we then have to use an inequality to find out if the number of adult tickets we have to sell to meet our money requirements is more than the amount of seating we have left after 66 seats were taken by students.  Our inequality looks like this:

5.50(66) + 7.50(a) ≥ 910 and

363 + 7.50a ≥ 910 and

7.50a ≥ 547 so

a ≥ 73

In order to meet our money requirement, we have to sell 73 adult tickets.  Since we have 74 seats left, we are good.

OLEGan [10]3 years ago
7 0

Answer: {73,74}

Step-by-step explanation:

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A music store sells electric guitars in 3 colors and 2 sizes. How many different guitar can you buy
matrenka [14]

Answer:

the answer is 6

Step-by-step explanation:

3 times 2 equals 6

5 0
3 years ago
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 121212 feet^3 3 start superscrip
Dahasolnce [82]

Answer:

The question is incomplete, the complete question is Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 12 ft³ of fluffy material. The base is 3 ft, the height is 2 ft, what is the length of the pillow?

The length of the pillow is 4 feet

Step-by-step explanation:

The formula of the volume of the wedge is V=\frac{1}{2}bhl , where

  • b is the base of it
  • h is the height of it
  • l is the length of it

∵ The pillow in the shape of a wedge

∵ The pillow is filled with 12 ft³ of fluffy material

∴ The volume of the wedge = 12 ft³

∵ The base = 3 feet

∵ The height = 2 feet

- Use the formula of the volume above to find its length

∵ V=\frac{1}{2}(2)(3)l

∴ V = 3 l

∵ V = 12 ft³

- Equate 3 l by 12

∴ 3 l = 12

- Divide both sides by 3

∴ l = 4 feet

∴ The length of the pillow is 4 feet

8 0
3 years ago
Need help with this question!
hodyreva [135]

Answer:

you have to do 52 divided by cos of 38 to get the answer of 65.99ft

8 0
3 years ago
A store allows customers to fill their own bags of candy. Troy decides he only wants chocolate-covered pretzels and gumdrops. Ch
kobusy [5.1K]

Answer: He bought 0.5 pounds of chocolate-covered pretzels and 1.3 pounds of gumdrops.

Step-by-step explanation:

Let Troy bought x pounds of chocolate-covered pretzels and y pounds of gumdrops.

Since, the total pounds he bought = 1.8 pounds,

That is, x + y = 1.8  ------------(1)

Also, he total spent total 1.29 dollars in which Chocolate-covered pretzels sell for $0.89 per pound, and gumdrops sell for $0.65 per pound.

That is, 0.89 x + 0.65 y = 1.29  -----------(2),

0.89 x × Equation(1),

We get,

0.89 x + 0.89 y = 1.602  ------------(3)

Equation(2)-equation(3),

We get, 0.24 y = 0.312 ⇒ y = 1.3

By Substituting this value in equation (1),

x = 1.8 -1.3 ⇒ x = 0.5

Thus, he bought chocolate-covered pretzels, x = 0.5 pounds,

And, gumdrops, y = 1.3 pounds.

8 0
3 years ago
Express 16 1/4in simplest radical form
elena-14-01-66 [18.8K]

Answer:

2

Step-by-step explanation:

{16}^{ \frac{1}{4} }  \: can \: also \: be \: written \: as \: (  {{2}^{4})}^{ \frac{1}{4} }

because {2}^{4}  = 16

So,

{( {2}^{4} )}^{ \frac{1}{4} }  =  {(2)}^{4 \times  \frac{1}{4} }  = 2

7 0
3 years ago
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