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tangare [24]
4 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]4 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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how many license plates can you make when a license plate consists of 6 out of 26 alphabetical letters each of which can be repe
UkoKoshka [18]
Idk if this is right bc it’s just a guess but maybe 156 bc that’s 26x6
4 0
4 years ago
Amelia lost her credit card one day while on vacation. She reported the loss to the credit card company the next day. However ,
Alenkasestr [34]

Answer:

$0

Step-by-step explanation:

Given that Amelia reported the loss before  the fraudulent charges so Amelia will pay $0 because she immediately reported and the transaction was done after her report.  

6 0
3 years ago
How do I Factor 125x^3 -64<br><br> The answer is not (5x+4)(5x-4) or (5x-4)(25x^2 +15x+16)
pychu [463]

The correct factorization would be (5x - 4)(25x^2 + 20x + 16).

The law of factoring cubes states that we use the following formula when we have two cubes being subtracted by one another.

(a - b)(a^2 + ab + b^2)

If we take the cube root of 125x^3 we get 5x, which will be our a value. If we take the cube root of 64, we get 4, which will be our b value. Then we plug in to the formula.

(5x - 4)((5x)^2 + (5x)(4) + 4^2)

(5x - 4)(25x^2 + 20x + 16)

I think the problem with your second answer is that you just did not properly multiply the 5x and the 4 to get 20x (instead you got 15x).

8 0
3 years ago
Can someone just tell me which ones are correct and which ones are wrong?
lozanna [386]
First row all correct second rows all wrong and the first on of third row is correct be the last two are incorrect
6 0
3 years ago
A truck can be rented from Company A for ​$150 a day plus ​$0.40 per mile. Company B charges ​$80 a day plus ​$0.90 per mile to
enot [183]

Answer:

140 miles

Step-by-step explanation:

Let

Number of miles = m

Total cost = fixed cost + variable cost

Company A = ​$150 + $0.40m

Company B = ​$80 + $0.90m

Equate company A and company B equation

Company A = Company B

​$150 + $0.40m = ​$80 + $0.90m

Collect like terms

150 - 80 = 0.90m - 0.40m

70 = 0.50m

m = 70 / 0.50

= 140

m = 140 miles

The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

6 0
3 years ago
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