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olga2289 [7]
3 years ago
11

for his long-distance phone service, Kareem pays a $2 monthly fee plus $0.12 per minute. Last month, Kareem's long-distance bill

was $13.52. For jow many minutes was Kareem billed?
Mathematics
1 answer:
beks73 [17]3 years ago
8 0
$13.52-$2=$11.52

11.52 \div 0.12 = 96

Kareem was billed for 96 minutes.

Hope this helps. - M
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Solve for x.<br><br> 3(x-1)-8=4(1+x)+5<br><br> Also could someone please explain how to do this??
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9514 1404 393

Answer:

  x = -20

Step-by-step explanation:

First, simplify the equation. Eliminate parentheses and combine terms.

  3(x -1) -8 = 4(1 +x) +5 . . . . . . . given

  3x -3 -8 = 4 +4x +5 . . . . . . . . eliminate parentheses (distributive property)

  3x -11 = 4x +9 . . . . . . . . . . . . combine like terms

We can put all the x-terms on the right by subtracting 3x from both sides.

  3x -11 -3x = 4x +9 -3x

  -11 = x +9

And we can get the x-term by itself by subtracting 9 from both sides.

  -11 -9 = x +9 -9

  -20 = x . . . . . . . . . . this is the solution

__

<em>Check</em>

3(-20 -1) -8 = 4(1 -20) +5

3(-21) -8 = 4(-19) +5

-63 -8 = -76 +5

-71 = -71 . . . . . . . . . true, the answer checks OK

_____

<em>Additional comment</em>

We observe that the two x-terms are 3x and 4x. The smaller of these is 3x, so when we subtract that from 4x we will have a <em>positive</em> result. That is why we chose to subtract 3x, even though it leaves the x-term on the right side of the equation. We could have subtracted 4x to get -x -11 = 9. I find it easier not to make a mistake if the variable has a positive coefficient.

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