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Troyanec [42]
2 years ago
7

• There are 20 pounds of the mixture.

Mathematics
1 answer:
katrin [286]2 years ago
7 0

Answer:

6.63 pounds

Step-by-step explanation:

Total pounds of mixture = 20

The contents of the mixture are; peanuts and almonds. Of which;

Peanuts cost = $2.95 per pound

Almonds cost = $5.95 per pound

The mixture cost = $4.00 per pound

Total cost of contents of the mixture = $8.90

The pounds of peanuts = \frac{2.95}{8.90} x 20

                     = 6.63

Therefore, 6.63 pounds of peanuts was used in producing 20 pounds of the mixture.

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Step-by-step explanation:

We know that since Ax + By = 3 passes through (-7, 2), then if we plug -7 in for x and 2 in for y, the equation is satisfied. So, let's do that:

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We also know that this line is parallel to x + 3y = -5, which means their slopes are the same. Let's solve for y in the second equation:

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The answer is -6.

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