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pentagon [3]
2 years ago
14

Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square f

eet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda?
Mathematics
2 answers:
dlinn [17]2 years ago
8 0

Answer:

Answer is A

Step-by-step explanation:

Took it on Edg.

IrinaK [193]2 years ago
4 0

Answer:

3 more square feet.

Step-by-step explanation:

x = The amount Melinda can shovel in 1 minute

y = The amount Paula can shovel in 1 minute

So make two equations:

30(x + y) = 450       x + y = 15       x = 15 - y

20x + 25y = 345     4x + 5y = 69

Plug in:

4(15 - y) + 5y = 69

60 - 4y + 5y = 69

y = 9

x = 6

9 - 6 = 3

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SCORPION-xisa [38]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

A. (-6, 0)

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C. (0, 2)

D. (2, 0)

The graph of the question is attached.

Answer:

The point is (x, y) = (0, 2)

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

Step-by-step explanation:

From the given graph, the points A and B are

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The slope of the equation is given by

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We know that the slopes of two perpendicular lines are negative reciprocals of each other.

m_2 = - \frac{1}{m_1}

So the slope of the other line is

m_2 = \frac{1 }{3} \\\\

Now we can find the equation of the line that is perpendicular to the line AB and passes through the point C.

From the graph, the coordinates of point C are

(x_1, y_1) = (6, 4)

The point-slope form is given by,

y - y_1 = m(x -x_1)

Substitute the value of slope and the coordinates of point C

y - 4 = \frac{1 }{3} (x - 6)\\\\

To get the y-intercept, substitute x = 0  

y - 4 = \frac{1 }{3} (0 - 6) \\\\y - 4 = \frac{-6 }{3}\\\\y - 4 = -2\\\\y = 4 -2 \\\\y = 2 \\\\

So, the point is

(x, y) = (0, 2)

The correct option is C.

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6 0
2 years ago
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valkas [14]
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Rahzel wants to determine how much gasoline he and his wife use in a month.He calculated that he used 78 1/3 gallons of gas last
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Applying descriptive statistics and data visualization to the training set to understand the data and assist in the selection of
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The function p(x) = _2(x _ 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from
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Answer:

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Step-by-step explanation:

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We have to find the profit from sales if the price of the T-shirts were $15 a pieces.

Consider the given profit function  p(x)=-2(x-9)^2+100

For the profit, if the price of a t-shirt is $ 15

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