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otez555 [7]
3 years ago
11

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under

the age of 12.
Write a system of equations to represent the given scenario. Use the variables “a” for adults and “c” for children.
Then, solve the system of equations algebraically. Show your work.
Explain what the solution to the system of equations represents in the context of the problem.
Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0

Answer:

(20-C)15+10C=225

Step-by-step explanation:

20 TICKETS

Adults = (20 - the number of children) x $12

(20-C)15+10C=225

300 - 15C + 10C = $225

300 - 5C = 225

-5C = -75

C= 15

A = 5

Children 15 x $10 = $150

Adults 5 x $15 = $75

$150 + $75 = $225

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Answer:

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4 years ago
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Kathy was building a bed for her dollhouse. She used her bed, which is 3 feet × 5 feet, as a guide. She scaled down the dimensio
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Hewwo!
ella [17]

Answer:

See Below.

Step-by-step explanation:

Please refer to the diagram below.

We are given that O is the center of the circle, and chords MN and RS are intersected a P. OP is the bisector of ∠MPR. And we want to prove that MN = RS.

We will construct segments OK and OJ such that it perpendicularly bisects MN and RS.

Since OP bisects ∠MPR, it follows that:

\displaystyle \angle JPO\cong \angle KPO

And since OK and OJ are perpendicular bisectors:

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\angle OKP\cong \angle OJP

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