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Pachacha [2.7K]
3 years ago
6

30 Find the greatest common factor. 5x5y2 + 15x2y3 + x3y5

Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0
The answer is x2y. okay
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A sparkling-water distributor wants to make up 200 gallons of sparkling water to sell for $5.00 per gallon. She wishes to mix th
Sedbober [7]
Assuming she make no profit and no loss from the business.

Let the number of gallons of the $8 grade water used be x, that of the $3 grade water, y, and that of the $4.50 grade water be z, then:

x + y + z = 200 . . . (1)
8x + 3y + 4.5z = 200(5) = 1,000 . . . (2)
z = 2y . . . (3)

Putting equation (3) into equations (1) and (2), we have:

x + y + 2y = 200
or x + 3y = 200 . . . (4)
and
8x + 3y + 4.5(2y) = 1000
or 8x + 3y + 9y = 1000
or 8x + 12y = 1000 . . . (5)

Multiplying equation (4) by 4, we have:
4x + 12y = 800 . . . (6)

Subtracting equation (6) from equation (5), we have:
4x = 200
or x = 200 / 4 = 50

Substituting for x into equation (4), we have:
50 + 3y = 200
or 3y = 200 - 50 = 150
or y = 150 / 3 = 50

Substituting for z into equation (3) gives:

z = 2(50) = 100

Therefore, 50 gallons each of the $8 grade water and the $3 grade water should be used and 100 gallons of the $4.50 grade water.
4 0
4 years ago
For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 58 a
goldfiish [28.3K]

Answer:

The width is 87

Step-by-step explanation:

Given

Represent Length with L and Width with W

Variation: Inverse Proportion

L \alpha \frac{1}{W}

L = 58; W = 3

Required

Solve for W when L = 2

First, we need to determine the constant of variation

L \alpha \frac{1}{W}

L = \frac{k}{W}

Where

k = constant of variation

Substitute the following values: L = 58; W = 3

58 = \frac{k}{3}

Solve for k

k = 58 * 3

k = 174

To solve for W when L = 2, we simply substitute values for L and K in the expression L = \frac{k}{W}

2 = \frac{174}{W}

Solve for W

2 * W = 174

2 W = 174

W = 174/2

W = 87

<em>Hence, the width is 87</em>

7 0
3 years ago
Please help and explain the work​
viktelen [127]

Answer:

x=97

Step-by-step explanation:

first find the angle measure to the right of 139

180-139=41

the sum of a triangles angles must be 180

so 180-42-41=x

x=97

5 0
3 years ago
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Nana has a water purifier that filters 1/3 of the contaminates each hour
zavuch27 [327]
The purifier filters 1/3 water
4 0
3 years ago
Identify the true and false statements about educational inequality in the united states.
USPshnik [31]
MONKEYS TWENTY CHARACTERS LONG!!
4 0
3 years ago
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