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vladimir2022 [97]
3 years ago
14

You work for a waste removal company. The trailer of one of your dump trucks is 10 feet wide, 15 feet long, and 6.5 feet high. I

f a ton of debris equals 200 cubic feet, how many trucks are needed to cart away 45 tons of debris from a demolition site?
Mathematics
2 answers:
nekit [7.7K]3 years ago
6 0

Answer:

Since x is an integer we conclude that there are 10 trucks needed to carry away 45 tones of debris.

Step-by-step explanation:

First we will find the volume of the dump truck:

V = 10*15*6.5

V = 975 ft^3

1 ton = 200 ft^3

45 tons = 45*200 ft^3

45 tons = 9,000 ft^3

Let x represent the number of trucks needed to carry away 45 tones of debris:

975*x = 9000

Mekhanik [1.2K]3 years ago
5 0

Answer:

10

Step-by-step explanation:

Each trailer of each truck can cart away (10)(15)(6.5) = 975 cubic feet of debris.

To cart 45 tons of debris i.e. 200 x 45 = 9000 cubic feet of debris away, we need

9000/975 = 9.23 trucks.

Since you need at least 9.23 trucks, and you cannot have a decimal number of trucks, 10 trucks are needed to cart away 45 tons of debris from a demolition site.

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m\text{ = }\frac{y_2-y_1}{x_2-x_1}\begin{gathered} x_1=-6,y_1=5,x_2=0,y_2\text{ = -}3 \\ \text{slope = m= }\frac{-3-5}{0-(-6)}=\frac{-8}{0+6} \\ m\text{ = -8/6} \\ m\text{ = -4/3} \end{gathered}

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