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laila [671]
3 years ago
14

Susan enlarged a rectangle with a height of 6 cm and length of 13 cm on her computer. The length of the new rectangle is 19.5 cm

. Find the height of the new rectangle.
Mathematics
1 answer:
Karolina [17]3 years ago
4 0
We have that enlarging the rectangle in a computer setting keeps the ratio of the lines constant. Hence, height over length is the same. For the first rectangle this is 6/13. For the second one, if x is the new height, this is x/19.5.
Hence x/19.5=6/13. Multiplying both parts by 19.5 we have that x=19.5*6/13=9. Thus, the new height is 6 cm.
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a motel clerk counts his $1 and $10 bills at the end of the day. he finds that he has a total of 56 bills having a combined mone
alina1380 [7]
We can write a system of equations:

1x + 10y = 182
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Where 'x' is the number of $1 bills, and 'y' is the number of $10 bills.

To find this we can solve using substitution.

Re-arrange the 2nd equation:

x + y = 56

Subtract 'y' to both sides:

x = -y + 56

Now we can plug in '-y + 56' for 'x' in the first equation.

1x + 10y = 182

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Divide 9 to both sides:

y = 14

Now we can plug this into any of the two equations to find the 'x' value.

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Subtract 14 to both sides:

x = 42

So our final answer is (42, 14).

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