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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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soldier1979 [14.2K]
15 miles/2.5 mph=15/2.5=6 hours left

so 6 hours, 15 miles which is option D
4 0
3 years ago
Need help pleaseee i have a test on friday
larisa [96]

Answer:

x = 8

Step-by-step explanation:

Using the sine or cosine ratio in the right triangle and the exact value

sin30° = \frac{1}{2} , then

sin30° = \frac{opposite}{hypotenuse} = \frac{4}{x} = \frac{1}{2} ( cross- multiply )

x = 8

5 0
3 years ago
360 kilometers is 24% of how many kilometers
gogolik [260]
You use the butterfly method:
360 24
___ ___
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multiply 360 by 100 to get 36000
then divide by 24 to get 1500
6 0
3 years ago
The ratio of Kailyn's money to Nathan's money is 4:9. If Nathan has $45, how much do
natita [175]

Answer:

<h2>$65</h2>

Step-by-step explanation:

Step one:

we are told that the ratio of Kailyn's money to Nathan's money is

4:9,

Nathan has $45, let Kailyn's money be x

therefore

4/9=x/45

cross multiply we have

9x=45*4

9x=180

divide both sides by 9

x=180/9

x=20

Kailyn's money is $20

Together they have =20+45= $65

6 0
3 years ago
The box plots show the weights in pounds of the dogs in two different animal shelters
GrogVix [38]

Answer:

between 21 and 30 pounds in shelter A between 18 and 28 pounds in shelter B

Step-by-step explanation:

One half of the dogs in each shelter points at the the upper 50% of the dog weight. This point is marked by the median value up to the maximum weight value.

The median value is the point marked inside the box on a boxplot and the maximum value is the upper end or the endpoint of the whisker.

For SHELTER A:

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Hence, For shelter A, it is the interval between 21 and 30

For shelter B:

Median = 18

Maximum = 28

Hence, it is the interval between 18 and 28

3 0
2 years ago
Read 2 more answers
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