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Sedaia [141]
2 years ago
6

BRAINLIEST & 25 POINTS PLEASE HELP URGENT DUE IN 10 MINUTES.

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
5 0

Answer:

C) 24 adults

Step-by-step explanation:

Let A be the number of adults and C be the number of children.

If a ticket costs $8 per adult, we can express this as 8A

If a ticket costs $5 per child, we can express this as 5C

Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.

Our second equation would be A+C=40 since there are 40 people.

Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.

The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:

8A+5(40-A)=272

8A+200-5A=272

3A+200=272

3A=72

A=24

Therefore, there are 24 adults

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Answer:

66/125

Step-by-step explanation:

Divide top ad bottom by 8. The resulting fraction cannot be simplified further.

6 0
3 years ago
Solving systems of equations using substitution p=q+2<br> 4p+3q= -27
GREYUIT [131]
Ok, so you are given the value of P=q+2

The substitution method tells us that we must insert the value we know, into the second equation, 4P+3q= -27


Doing so will give us 4(q+2)+3q= -27

For right now, lets just focus on the first part, 4(q+2)

We can simplify this by distributing(multiplying) the 4 to whats inside the variables.

This will give us 4q+8

now lets add this back to the rest of the equation >>>  4q+8+3q = -27

We can further simplify by adding like terms >>> 7q+8 = -27

subtract the 8 from both sides >>> 7q = -35

now divide both sides by 7 >>> q = -35/7

Therefor q = -5

EDIT* 

now that we know q = -5 we can put q into the equation for P !

we know that p=q+2

so lets put q in now >>> p=(-5)+2

and simplify>>> p = -3

I hope this helps:)
6 0
3 years ago
A class had a plate with 128 Cookies. The cookies where divided evenly among the students. Each student was given 4 cookies. How
Mariulka [41]

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Step-by-step explanation:

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3 years ago
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Ilya [14]

Answer:

4

Step-by-step explanation:

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Do the exponents first

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5 to the 2nd power is 25

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Step-by-step explanation:

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