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Veronika [31]
3 years ago
9

Tell whether the given value is a solution of the inequality. a/6 > -4; a = -18

Mathematics
1 answer:
balandron [24]3 years ago
3 0

First we simplify the inequality

1. <em>multiply 6 by the other side of the inequality (-4) </em>

Now we have ...

a > -24

Anything that can be a solution to the inequality <u>must be greater than -24</u>

-18 is greater than -24

This means that, YES! a = -18 IS a solution to the inequality

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Marcy purchases a total of 12 adult, child, and senior tickets for an art museum tour. Adult tickets are $5 each, child tickets
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Answer:

A: The solution to this system is no viable because it results in fractional values of tickets

Step-by-step explanation:

Let number of adult, child, and senior tickets be x, y and z respectively.

Thus;

x + y + z = 12 - - - (eq 1)

she purchases 4 more child tickets than senior tickets.

Thus, y = z + 4

Thus:

x + (z + 4) + z = 12

x + 2z + 4 = 12

x + 2z = 8 - - - (eq 2)

Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,

Thus;

5x + 2(z + 4) + 4z = 38

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5x + 6z + 8 = 38

5x + 6z = 38 - 8

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Divide through by 5 to get;

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Subtract eq 2 from eq 1 to get;

2z - (6/5)z = 8 - 6

2z - (6/5)z = 2

Multiply through by 5 to get;

10z - 6z = 10

4z = 10

z = 2½

It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.

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