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Zepler [3.9K]
3 years ago
7

Altogether, Tim, Laura, and Eric worked 210 hours campaigning for their friend Jake who was running for the senate. Laura worked

10 hours more then Tim, and Eric worked twice as many hours as Laura. How many hours did Laura work on the campaign?​
Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0

Let \:  x  \: be  \: the  \: time  \: which \:  Laura \:  worked \\  The \:  time  \: Tim  \: worked:x - 10 \\ The  \: time \:  Eric \:  worked:2x \\ We \:  have  \: an \:  equation:x + x - 10 + 2x = 210 \\  <   =  > 4x = 220 \\  <  =  > x = 55 \: (hrs) \\ So \:  Laura  \: worked  \: for  \: 55 \:  hours  \: on \:  the  \: campaign.

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Help please i really really really need it.....
ruslelena [56]

A)

s = sweater

j = jeans

Equations:

4s + 2j = 140

2s + 3j = 150

B)

4s + 2j = 140

2s + 3j = 150

Multiply (-2) to the second equation

-2 (2s + 3j = 150)

-4s - 6j = -300

Now you have the equations:

4s + 2j = 140

-4s - 6j = -300

-----------------------------add

-4j = -160

  j = 40

4s + 2(40) = 140

4s + 80 = 140

4s = 60

 s = 15

The cost for a sweater is $15 and the cost for a jean is $40

We used the elimination method to solve the system of equations.

C)

Each pair of jean, she will buy 3 sweaters so total = 40 + 3(15) = $85

Total cost for 1 pair of jeans and 3 sweaters = $85

If she has $225 the

$225 / $85 = 2.64

2 jeans = 2 x 40 = $80

6 sweaters = 6 x $15 = $90

So She can only buy 2 jeans and 6 sweaters

3 0
4 years ago
For each of the equations below, solve for y in terms of x. !<br> a. 2x – 3y = 12
ira [324]

Answer:

\large\boxed{y=\dfrac{2}{3}x-4}

Step-by-step explanation:

2x-3y=12\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\2x-2x-3y=12-2x\\\\-3y=12-2x\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3y}{-3}=\dfrac{12}{-3}+\dfrac{-2x}{-3}\\\\y=-4+\dfrac{2}{3}x

7 0
3 years ago
Mike ordered 3 cheese pizzas and 2 mushroom pizzas for his party. mike paid the same price for each pizza. the total cost was $5
Wittaler [7]
Answer is <span>d. 3 + 2 = 5 and 50 ÷ 5 = 10

3 + 2 = 5

50/5 = $10</span>
3 0
3 years ago
During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 4
Paul [167]

Answer:

11

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP I JUST NEED THE ANSWER NOT AN EXPLANATION TO HOW YOU GOT THE ANSWER
Yuki888 [10]

The answer is b, > because 30.17 is bigger than 30.018

6 0
3 years ago
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