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weqwewe [10]
2 years ago
12

samantha worked 25 hours and was paid $150 she would like to know how much she would earn if she works more hours write a equati

on that samantha can use to calculate how much she would earn if the relashionship betweeh the hours she works and the money she earns remains proportional
Mathematics
1 answer:
neonofarm [45]2 years ago
4 0
Samantha earned 6 dollars per hour if she earned $150 for working 25 hours.

Equation: 150= 25x

25x=150
X=6
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Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each
sergiy2304 [10]

Answer:

Part 1) The inequality that describes the relationship between the number of cookies each one of them has is x^{2} -30x+224\geq 0

Part 2) Jessica has at least 2 cookies more than Martha

Step-by-step explanation:

Part 1) Find the inequality that describes the relationship between the number of cookies each one of them has

Let

x----> the number of cookies when Jessica started

30-x ----> the number of cookies when Martha started

we know that

Each of them ate 6 cookies from their bag

so

The cookies left in each bag are

(x-6)  ----> Jessica

and (30-x-6)=(24-x) ---> Martha

The product is equal to (x-6)(24-x)

The product of the number of cookies left in each bag is not more than 80.

so

(x-6)(24-x)\leq 80\\ \\24x-x^{2}-144+6x\leq 80\\ \\-x^{2} +30x-144-80\leq 0\\ \\-x^{2} +30x-224\leq 0

Multiply by -1 both sides

x^{2} -30x+224\geq 0

Part 2) Solve the quadratic equation

x^{2} -30x+224\geq 0

Solve by graphing

The solution is x=16 cookies

so

(30-x)=30-16=14 cookies

therefore

The number of cookies when Jessica started was 16 cookies

The number of cookies when Martha started was 14 cookies

The number of cookies left in each bag  is equal to

Jessica

16-6=10 cookies

Martha

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Jessica has at least 2 cookies more than Martha

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2 years ago
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One evening 1400 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost ​$20 for covered pavilion seats a
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The answer to the question

6 0
2 years ago
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was \$43.25$43.25dollar sign, 43,
Elodia [21]

Answer:

29 minutes

Step-by-step explanation:

Given

Total = \$43.25

Entrance\ Fee = \$7

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Required

Determine the number of minutes (t) that he was on the trampoline.

This can be expressed as:

Total\ Payment = Entrance\ Fee + Amount\ per\ minute * t

Where t represents the number of minutes

Substitute values for Total, Entrance Fee and Amount per minute

43.25 = 7 + 1.25 * t

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Solving further to get the value of t, we have:

1.25t = 43.25 - 7

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t = 36.25/1.25

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2 years ago
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