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3 years ago

Write as an equation: Mike, Carroll, and Jim, empty their wallets and have $175 total. Mike has three times

Mathematics

1 answer:

Marina86 [1]3 years ago

7 0

Answer:

C. j +2j + 3(2j) = 175

Step-by-step explanation:

Let j represent the amount of money Jim has.

Carroll has twice that amount, so has 2j.

Mike has 3 times the amount Carroll has, so has 3(2j).

The sum of these quantities is 175, so the equation can be written ...

j + 2j + 3(2j) = 175 . . . . . matches choice C

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The equations below represent the numbers y of tickets sold after x weeks for two different local music festivals.

kiruha [24]

Answer:

Part a) 3.5 weeks

Part b) 185 tickets

Step-by-step explanation:

Part a) After how much time have the same number of tickets been sold for both festivals?

Let

x -----> the number of weeks

y ----> the number of tickets sold

we have

<em>Country Music Festival</em>

$y=10x+150$ ----> equation A

<em>Pop Music Festival</em>

$y=20x+115$ ----> equation B

Equate equation A and equation B

$20x+115=10x+150$

solve for x

$20x-10x=150-115$

$10x=35$

$x=3.5\ weeks$

Part b) What is the number of tickets sold at that time?

substitute the value of x=3.5 weeks in the linear equation A or linear equation B

$y=10(3.5)+150$

$y=35+150$

$y=185\ tickets$

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$-8x^2+54x+140
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