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Ilya [14]
2 years ago
14

David express company was asked to deliver 325 boxes of apples. according the rule, the delivery fee is

Mathematics
1 answer:
Andrew [12]2 years ago
3 0

Answer:

22 boxes were lost.  Look for the happy squirrels.

Step-by-step explanation:

Let x be the number of lost boxes.  David Express should expect to receive  $25 for each of the 325 boxes of apples.  That means:

($25)*(325) = $8125

The loss of a box means that the delivery fee would be forfeited, which would amount to:  x*($25)

But a compensation fee of $75/box also applies, so the total loss to the income would be x*($25+$75) or x*($100).  This would be subtracted from the total expected income of $8125:

Resulting Income:   $8125 - ($100)x = $5925

$8125 - ($100)x = $5925

$8125 - ($100)x = $5925

-100x = -2200

x = 22 boxes were lost.                    Zounds! [A metric term for %$%^&]

===================

<u>Check:</u>  Does the loss of 22 of the 325 boxes result in a total payment of $5925?

Delivered boxes:  (325 - 22) = 303 boxes delivered.  303*$25 = $7575

Penalty of $75 per lost box:  22*($75) = $1650

Result:  $7575 - $1650 = $5925  <u>YES</u>

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Vincent goes to the gym for 30 minutes every day. He starts a new exercise routine on a Monday and uses a function to model the
Sedbober [7]

Complete question is;

Vincent goes to the gym for 30 minutes every day. He starts a new exercise routine on a Monday and uses a function to model the amount of calories he has used, f(d), as a function of the number of days, d, he has exercised with the new routine.

Which statement represents a correct interpretation of f(d) ?

A. f(5) = 150 means Vincent has exercised for a total of 150 minutes after the fifth day of exercising with his

new routine

B. f(10) = 3500 means Vincent will use 3,500 calories on day 10 of exercising with his new routine.

C. f(15) = 5250 means after 15 days of exercising with his new routine, Vincent has used 5,250 calories.

D. f(30) = 10500 means the number of calories Vincent has used times 30 is equal to 10,500

Answer:

Option A: f(5) = 150 means Vincent has exercised for a total of 150 minutes after the fifth day of exercising with his

new routine .

Step-by-step explanation:

We are told that f(d), is a function of the number of days, d, he has exercised with the new routine.

We are also told that he goes to the gym for 30 minutes daily.

Thus;

For option A, f(5) means that he went to the gym for 5 days. At 30 minutes per day means he exercised for a total of: 30 × 5 = 150 minutes. So option A is correct

For option B, f(10) means that he went to the gym for 10 days. At 30 minutes per day means he exercised for a total of: 30 × 10 = 300 minutes. Thus, option B is wrong

For option C, f(15) means that he went to the gym for 15 days. At 30 minutes per day means he exercised for a total of: 30 × 15 = 450 minutes. Thus, option C is wrong.

For option D, f(30) means that he went to the gym for 30 days. At 30 minutes per day means he exercised for a total of: 30 × 30 = 900 minutes. Thus, option D is wrong.

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3 years ago
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Step-by-step explanation:

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4 0
3 years ago
Solve the system of equations x+y=-8 and -9x-6y=60 by combining the equations
TiliK225 [7]

Answer:

x = - 4    y = - 4

Step-by-step explanation:

x+y= - 8

-9x-6y=60

First, solve for x in the first equation:

x+y = - 8       Subtract y from both sides

x + y - y = -8 - y    y cancels on the left

x = - 8 - y

Now plug in what you found for x into the 2nd equation and solve for y.

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3y/3 = -12/3     3 cancels on the left because 3/3 = 1

y = -4

Now plug your answer for y back into the first equation to get x.

x + y = -8

x + (-4) = - 8  Add 4 to each side

x - 4 + 4 = - 8 + 4   4 cancels on the left

x = -4

x = - 4 and y = - 4

8 0
3 years ago
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Vanyuwa [196]
A. C= K-273.15
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