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tangare [24]
3 years ago
13

A factory manager is packing engine components into wooden crates to be shipped on a small truck. The truck is designed to hold

sixteen crates, and will safely carry a 1200 lb cargo. Each crate weighs 12 lbs empty. How many pounds should the manager instruct the workers to put in each crate in order to get the shipment weight as close as possible to 1200 lbs?
Mathematics
1 answer:
Lemur [1.5K]3 years ago
6 0

Answer: 63lbs

Step-by-step explanation:

The truck can only hold 16crates and each crate weigh 12lbs, the total weight of the 16 crates will be 12×16= 192lbs

This shows that the truck can only contain extra load of 1200lbs - 192lbs = 1008lbs (excluding weight of crates).

To get the shipment weigh close to the total of 1200lbs, the truck must be loaded with engine components not more than 1008lbs.

Since we have 16 crates to fill with engine components not more than 1008lb, each crates will therefore must not exceed 1008/16 pounds of engine components which is equivalent to 63lbs.

Therefore, the manager should instruct the workers to put 63lbs of machine components in "each crate" in order to get the shipment weight as close as possible to 1200 lbs.

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Answer:

The slope is 17 / 2.

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Find the values of m and b using the form y=mx+b.

m=17 / 2

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The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 17 / 2

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3 0
3 years ago
Which values of P and Q does the following equation have infinitely many solutions?
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Any value as long as P = Q

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3 years ago
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3 years ago
What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?
Oksanka [162]

Answer:

As x approaches ∞, y approaches -∞

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Step-by-step explanation:

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If exponent is odd and leading coefficient is negative then end behavior is

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7 0
3 years ago
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Find the area of this figure (50 points)
Softa [21]

Answer:

A_{total} = 14\ in^2

Step-by-step explanation:

<u>Step 1:  Determine the area of the left rectangle</u>

We can tell that the total shape seems like two rectangles glued together.  We can separate the left rectangle and determine the area of it and then determine the area of the right rectangle and combine them.  Lets first solve the left rectangle.

A = l * w

A_{left\ rectangle} = 2\ in * 4\ in

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A = l * w

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A_{total} = 14\ in^2

Answer: A_{total} = 14\ in^2

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2 years ago
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