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dybincka [34]
3 years ago
12

A grocer wants to mix two kinds of coffee. One kind sells for $0.85 per pound, and the other sells for $2.70

Mathematics
1 answer:
Sedaia [141]3 years ago
4 0

Answer:

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

Step-by-step explanation:

Let

x = $0.85 per pound

y = $2.70 per pound

x + y = 21 (1)

0.85x + 2.70y = 19.95 (2)

From (1)

x = 21 - y

Substitute x = 21 - y into (2)

0.85x + 2.70y = 19.95 (2)

0.85(21 - y) + 2.70y = 19.95

17.85 - 0.85y + 2.70y = 19.95

- 0.85y + 2.70y = 19.95 - 17.85

1.85y = 2.1

y = 2.1 / 1.85

y = 1.14

Substitute y = 1.14 into (2)

0.85x + 2.70y = 19.95

0.85x + 2.70(1.14) = 19.95

0.85x + 3.078 = 19.95

0.85x = 19.95 - 3.078

0.85x = 16.872

x = 16.872 / 0.85

x = 19.85

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

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3 years ago
I need help, I don't know how to do it.
Sindrei [870]

Answer:

Step-by-step explanation:

to solve this problem we can use the Pythagorean theorem

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x^2 + (x+1)^2 = LU^2

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5 0
2 years ago
Forty children from an after-school club went to the matinee.This is 25% of the children in the club.How many children are in th
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7 0
3 years ago
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guapka [62]

Answer:

<u>The system has two solutions:</u>

<u>x₁ = 5  ⇒ y₁ = -10</u>

<u>x₂ = -2 ⇒ y₂ = 11</u>

Step-by-step explanation:

Let's solve the system of equations, this way:

y = -3x + 5

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Replacing y in the 2nd equation:

y = x ² - 6x - 5

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(3 +/- 7)/2

x₁ = 10/2 = 5

x₂ = -4/2 = -2

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<u>As we can see the system has two different solutions</u>

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