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Neko [114]
3 years ago
15

A rectangular painting's width is 6 less than twice its length. Given that the perimeter of the painting is 84 inches, select al

l statements that are true(along with explanation)
The painting’s length is 16 inches.
The painting’s length is 30 inches.
The painting’s width is 26 inches.
The painting’s length is 54 inches.
The painting’s area is 416 square inches.
The painting’s length is 1620 square inches.
Mathematics
2 answers:
scoundrel [369]3 years ago
8 0
Length is 16
W=2L-6, so
P= (2L-6) +(2L-6) + L +L
P=4L-12 + 2L
84=6L - 12
84+ 12= 6L -12 + 12
96=6L
96/6=6L/6
16=L
Nimfa-mama [501]3 years ago
4 0

Answer:

Step-by-step explanation: it is

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<h3><u>Question</u><u>:</u></h3>

<u>The difference between a 2-digit number and the number formed by reversing its digits is 45. If the sum of the digits of the original number is 13, then find the number. </u>

<h3><u>Statement</u><u>:</u></h3>

<u>The difference between a 2-digit number and the number formed by reversing its digits is 45. </u><u>T</u><u>he sum of the digits of the original number is 13</u><u>.</u>

<h3><u>Solution:</u></h3>
  • Let one of the digit of the original number be x.
  • So, the other digit = (13-x)
  • Therefore, the two digit number = 10(13-x) + x = 130-10x+x = 130-9x
  • The number obtained after interchanging the digits is 10x+(13-x) =9x+13
  • Therefore, by the problem

130-9x-(9x+13) = 45

or, 130-9x- 9x-13 = 45

or, -18x = 45-130+13

or, -18x= -72

or, x = 72/18 = 4

or, x = 4

  • So, the original number = 130-9x = 130 -9(4) = 130 - 36 = 94
<h3>Answer:</h3>

The number is 94.

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