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Leno4ka [110]
3 years ago
5

For his long distance phone service, Keith pays a $3 monthly fee plus 11 cents per minute. Last month, Keith's long distance bil

l was $13.67. For how many
minutes was Keith billed?
Mathematics
1 answer:
Allushta [10]3 years ago
3 0

The number of minutes for which Keith was billed = 97

Step-by-step explanation:

Step 1:

It is given that Keith pays a fixed fee of 3$ a month and 11 cents per minute  for the number of minutes used.

Total cost = Fixed cost + Per minute cost

If x represents the number of minutes consumed in a month then we can compute the total cost using the below equation:

Total cost = 3$ + 0.11 * x

Step 2:

The total cost is 13.67$

Substituting in the equation we get

13.67 = 3 + 0.11 * x

x = 10.67 / 0.11 = 97 minutes

Step 3:

Answer:

The number of minutes for which Keith was billed = 97

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

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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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Step-by-step explanation:

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