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LenaWriter [7]
3 years ago
14

Determine whether each of the following points is a solution to the given system. Justify your answer.

Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

Answer:

need more details

Step-by-step explanation:

what system

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A group of 3 adults and 5 children pay a total of 52$ for movie tickets
Paladinen [302]

Answer:

  • $9 adult
  • $5 child

Step-by-step explanation:

Letting "a" and "c" represent the costs of adult tickets and child tickets, the problem statement gives us two relations:

  3a +5c = 52

  2a +4c = 38

__

We can solve this system of equations using "elimination" as follows:

Dividing the first equation by 2 we get

  a +2c = 19

Multiplying this by 3 and subtracting the first equation eliminates the "a" variable and tells us the price of a child ticket:

  3(a +2c) -(3a +4c) = 3(19) -(52)

  c = 5 . . . . . . collect terms

  a +2·5 = 19 . . substitute for c in the 3rd equation above

  a = 9 . . . . . . subtract 10

One adult ticket costs $9; one child ticket costs $5.

6 0
3 years ago
Brainliest to correct quickly please
nadya68 [22]

Answer:

-8 1/10, 0.2, 8 4/20

Step-by-step explanation:

I put them all into decimle format, I see that is IXL so hopeflly this is correct! Good luck!

5 0
2 years ago
Please Help me solve this (Who ever answers correctly will get brainlest)
disa [49]
<h2><u><em>Answer:1.25 in miles is 3.960</em></u></h2>

Step-by-step explanation:

4 0
2 years ago
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Help I don’t know the answer
Amanda [17]
D I have no explanation
4 0
3 years ago
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For each sentence below, find the value of x that makes each sentence true.
vitfil [10]

<u>ANSWER</u>

1. x=\frac{1}{2}


2. x=1


<u>QUESTION 1</u>

The first sentence is (5^{\frac{1}{5}})^5=25^x.


Recall that;

(a^m)^n=a^{mn}


We simplify the left hand side by applying this property to get;


5^{\frac{1}{5}\times 5}=25^x.


\Rightarrow 5^{1}=25^x.


We now rewrite the right hand side too in an index form to obtain;


\Rightarrow 5^{1}=5^{2x}

We now equate the exponents to get;

\Rightarrow 1=2x.


\Rightarrow \frac{1}{2}=x


\Rightarrow x=\frac{1}{2}.


<u>QUESTION 2</u>

The second sentence is (8^{\frac{1}{3}})^2=4^x


We simplify the left hand side first to get;

(2^{3\times \frac{1}{3}})^2=4^x


2^2=4^x


We now rewrite the left hand side too in index form to obtain;


2^2=2^{2x}

We equate the exponents to get;

2=2x


This implies that;


1=x

or

x=1

4 0
3 years ago
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