Answer:
The quantity of first nut = x = 2.4 lb
The quantity of second nut = 12.9 - x = 12.9 - 2.4 = 10.5 lb
Step-by-step explanation:
Let amount of first type of nut = x
Amount of second type of nut = 12.9 - x
Total Cost of first type of nut = 4.5 x
Total Cost of second type of nut = 8.8 × (12.9 - x)
Total cost of both type of nut = 8 × 12.9
Total cost = Cost of first type of nut + Cost of second type of nut
8 × 12.9 = 4.5 x + 8.8 × (12.9 - x)
103.2 = 4.5 x + 113.52 - 8.8 x
8.8 x - 4.5 x = 10.32
4.3 x = 10.32
x = 2.4
Therefore the quantity of first nut = x = 2.4 lb
The quantity of second nut = 12.9 - x = 12.9 - 2.4 = 10.5 lb
The answer:
2 (3x+6) + 2 (2x+4)=94
6x+12+4x+8=94
10x+20=94
10x=74
X=74/10
X=37/5
The Pythagorean theorem tells you the distance between the locations is
√(52² +75²) ≈ 91.23 mi
The appropriate choice is
B. 91 mi
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An approximation that can get you within 6% of the correct value is this: add 1/3 of the short side of the right triangle to the long side. Here, that is
75 + 52/3 = 92.3
This is close enough to the correct value to let you choose the correct answer.