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Oksi-84 [34.3K]
4 years ago
13

Jayne wants to buy 3 yards of fabric at $3.58 per yard for a blouse. She also wants to buy 2 yards of a different fabric for a s

kirt if the most Jan can spend is $20 what is the maximum price per yard she can pay for skirt fabric
Mathematics
1 answer:
KiRa [710]4 years ago
8 0

Answer:

She can pay $4.63 per yard for the skirt fabric.

Step-by-step explanation:10.74 + 2x = 20

2x = 9.26

x = 4.63

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If x+y=5,then what is the value of x3+y3+15xy​
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Answer:

125

Step-by-step explanation:

x + y = 5

We need to have x^3 and y^3 in the expression, so cube both sides.

(x + y)^3 = 5^3

Expand the left side.

(x + y)(x + y)^2 = 125

(x + y)(x^2 + 2xy + y^2) = 125

x^3 + 2x^2y + xy^2 + x^2y + 2xy^2 + y^3 = 125

x^3 + 3x^2y + 3xy^2 + y^3 = 125

Now we need to separate x^3 + y^3.

x^3 + y^3 + 3x^2y + 3xy^2 = 125

We need to turn 3x^2y + 3xy^2 into 15xy.

Factor the GCF, 3xy, out of 3x^2y + 3xy^2.

x^3 + y^3 + 3xy(x + y) = 125

We know that x + y = 5, so substitute x + y with 5.

x^3 + y^3 + 3xy(5) = 125

x^3 + y^3 + 15xy = 125

Answer: 125

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