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AleksAgata [21]
3 years ago
5

A manufacturing company ships its product in two different sizes of truck trailers. Each shipment is made in a trailer with dime

nsions 8 feet x 10 feet x 30 feet or 8 feet x 10 feet x 40 feet.
a) If 30% of its shipments are made by using 30-foot trailers and 70% by using 40-foot trailers. Find the mean volume shipped per trailer load?
Mathematics
1 answer:
kherson [118]3 years ago
4 0

Answer:

Mean volume shipped per trailer load = 2960 ft³

Step-by-step explanation:

Since both trailers are always full,

Total volume in one 30 feet trailer shipment = 8 × 10 × 30 = 2400 ft³

Total volume in one 40 feet trailer shipment = 8 × 10 × 40 = 3200 ft³

Assuming a basis of 10 shipments, 3 shipments are done using the 2400 ft³ trailer and 7 shipments are done using the 3200 ft³ trailer.

Mean volume shipped per trailer load = total volume shipped/number of shipments

Total volume shipped = (3 × 2400) + (7 × 3200) = 7200 + 22400 = 29600 ft³

Number of shipment in the basis used = 10

Mean volume shipped per trailer load = 29600/10 = 2960 ft³

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Step-by-step explanation:

We can set up this equation with what we know. Let <em>m</em> stand for the Man's current age, and let <em>s</em> stand for his son's current age.

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Ten years ago means the man's current age <em>minus</em> 10 years. So it is <em>m-10</em>. So ten years ago he was 5 times his son's age 10 years ago, <em>5(s-10)</em>

This can be written as: <em>m-10=5(s-10)</em>

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<em>m-10=5(s-10)</em>

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<em>m=3s</em>

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The man is <em>60</em> years old

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3 years ago
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