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Sphinxa [80]
4 years ago
9

write an equation that would allow you to solve the following problem. mart'a jump rope is 10 inches shorter than 3 times the le

ngth of dilbert's rope. if both of their ropes laid together end-to-end measure 120 inches long, how long is Marta's jump rope?
Mathematics
1 answer:
mars1129 [50]4 years ago
8 0

Answer:

Step-by-step explanation:

m=marta's rope

d=dilbert's rope

3d-10=m

m+d=120

Then you can substitute equation 1 into the second one

(3d-10)+d=120

3d-10+d=120

4d-10=120

4d=130

d=32.5

m+d=120

m+32.5=120

m=120-32.5

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Evgesh-ka [11]

For this case we have that the original vertex is given by:

P = (4, -5)

We apply the following transformation:

(x, y) (-x, y)

We have then:

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Therefore, we have a reflection on the y axis.

The point obtained is the vertice:

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Answer:

the line of reflection is:

the y-axis

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3 years ago
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Solve this system of equations. <br><br> 12x − 18y = 27 <br> 4x − 6y = 10
kifflom [539]

Answer:

no solution

Step-by-step explanation:

12x − 18y = 27  

4x − 6y = 10

Multiply the second equation by -3 so we can eliminate x

-3(4x − 6y) = 10*-3

-12x +18y = -30

Add the first equation to this new equation

12x − 18y = 27

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0 = -3

This is not a true equation, so there is no solution


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Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?
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As x approaches -7 from the right, y reaches negative infinity
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The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th
Reptile [31]

Answer:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

Given C(x) as the cost function to produce x items. The average cost is:

\displaystyle \bar C(X)=\frac{C(x)}{x}

The cost function is:

C(x) = -20x+1681

And the average cost function is:

\displaystyle \bar C(X)=\frac{-20x+1681}{x}

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

\displaystyle \frac{-20x+1681}{x}\le 21

Multiplying by x:

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Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

1681 \le 21x+20x

1681 \le 41x

Swapping sides and changing the sign:

41x \ge 1681

Dividing by 41:

x\ge 41

The least number of items to produce is 41

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