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tangare [24]
2 years ago
3

A movie theater has 400 seats. Tickets at the theater cost $8 for students, $10 for adults, and $7 for senior citizens. On a nig

ht when all the seats were sold, the theater made $3,535 from ticket sales. If the number of adult tickets sold was 10 less than the number of student and senior tickets combined, how many senior tickets were sold?
55 senior tickets
150 senior tickets
195 senior tickets
255 senior tickets
Mathematics
1 answer:
Tasya [4]2 years ago
4 0

Answer:

55 senior tickets

Step-by-step explanation:

400 seats

students: $8

Adults: $10

Seniors: $7

All seats were sold and the total money they got was $3,535

Adult tickets sold was 10 less than the # of student and seniors combined.

8a+10b+7c=3535

a+b+c=400 now just solve for them

8a+10b+7c=3535

-8a-8b-8c=-3200

2b-c=335...

If you solve for the numbers, you'll get 55 tickets.

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What is the relationship between two lines whose slopes are −8 and 1 8 ?
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Answer:

They are perpendicular lines

Step-by-step explanation:

If one line has slope -8 and the other one has slope 1/8, they must be perpendicular to each other because the condition for perpendicular lines is that the slope of one must be the "opposite of the reciprocal of the slope of the original line."

the opposite of -8 is 8 , and the reciprocal of this is 1/8

5 0
2 years ago
Read 2 more answers
A department store sells logo shirts at an original price of $20. Every month that a shirt doesn’t sell, the store reduces the s
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Given:
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reduces selling price by 25% every month it's not sold.

First markdown month:
20 * (100%-25%) = 20 * 75% = 15

Second markdown month
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11.25 * 50% = 5.625
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The pre-tax price of the shirt for Macy will be $5.63
3 0
2 years ago
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Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60percent of their plants are
DaniilM [7]

Answer:

There are 20 vegetable plants in garden.

Step-by-step explanation:

We are given the following in the question:

Percentage of flowers = 60%

Percentage of vegetable = 40%

Number of plants in garden = 50

Number of vegetables in garden =

40\% \times \text{Number of plant}\\\\= \dfrac{40}{100}\times 50\\\\= 20

Number of flowers in garden =

60\% \times \text{Number of plant}\\\\= \dfrac{60}{100}\times 50\\\\= 30

Thus, there are 20 vegetable plants in garden.

6 0
2 years ago
Math 1314 lab module 2
denpristay [2]
What, is there a question or no?
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Hospital sends an invoice to a patient. The patient schedules a payment plan in which she makes an initial payment of $1,451 the
Korvikt [17]
First month she payed 1451 dollars

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Third month she payed 1/3 of 483.66 because as text says, every next month she pays 1/3 of previous month payed amount.

483.66/3 = 161.22

Forth month she payed

161.22/3 = 53.74

In total she payed:

$2149.62 - B.

hope this helps :)
3 0
2 years ago
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