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Vlad [161]
3 years ago
12

The reel good Cinema is conducting a mathematical study. In this theater, there are 200 seats. Adult tickets cost $12.50 and a c

hild ticket cost $6.25. The cinema's goal is to sell at least $1500 worth of tickets for the theater. Write a system of linear inequalities that can be used to find the possible combinations of adult tickets, x, and child tickets, y, that would satisfy the cinema's goal.​
Mathematics
1 answer:
denis23 [38]3 years ago
7 0

Considering no discounts for bringing people to the theatre, and a being the number of adults attending the show and b the number of children attending the show then:

1500 \leqslant  12.5a + 6.5b \leqslant 2500

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Each card in a set of cards has a different number from 1 to 12 written
sergij07 [2.7K]

Answer: 35

Step-by-step explanation: i first divided 12 and 125 since there is 125 cards in total and 12 different cards which gives you 10 point something. There is 3 multiples of 4 so i multiplied 3x10 which gives you 30 and the closest answer is 35. You're welcome

4 0
3 years ago
If the sum of a number and seven is tripled, the result is three less than twice the number. Find the number
hram777 [196]

Answer:

x = -24

Step-by-step explanation:

3(x + 7) = 2x - 3

3 * x = 3x

3 * 7 = 21

3x + 21 = 2x - 3

-21            -21

3x = 2x -24

-2x   -2x

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4 0
3 years ago
Help! what is the surface area of the prism? 128in^2, 768in^2, 384in^2, or 480in^2
Nimfa-mama [501]

Option C: 384 \ in^2 is the surface area of the prism

Explanation:

Given figure is a triangular prism.

We need to determine the surface area of the triangular prism.

The formula to find the surface area of the triangular prism is given by

S A=b h+(s 1+s 2+s 3) H

where b is the base of the triangle,

h is the height of the triangle,

s1,s2,s3 are the three sides of the triangle and

H is the height of the prism.

Let us substitute the values b=16 , h=6 , s1=16 , s2=10 , s3=10 and H=8 in the formula, we get,

SA=16(6)+(16+10+10)(8)

Simplifying, we get,

SA=96+(36)(8)

Multiplying the term, we get,

SA=96+288

Adding the terms, we have,

SA=384 \ in^2

Thus, the surface area of the prism is 384 \ in^2

Hence, Option C is the correct answer.

6 0
3 years ago
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denis-greek [22]

Answer: Choice C.   (1, -6)

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3 0
3 years ago
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fenix001 [56]

Answer:

800%

Step-by-step explanation:

<h2><u>Percentage increase</u></h2><h3><u>formula:</u></h3>

change/ original * 100

change is 1.35 - 0.15 = 1.2

original is the amount in the beginning which is 0.15

= 1.2/0.15 * 100

=800 %

<em><u>the percentage increase is by 800%</u></em>

8 0
3 years ago
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