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dusya [7]
3 years ago
14

39. Combine like terms to simplify the

Mathematics
1 answer:
UNO [17]3 years ago
8 0

Answer:

14x +2( 2x-y) -y

= 14x +4x -2y -y

= 18x -3y

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A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?
gregori [183]
<h3>Answer: 37</h3>

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

Work Shown:

T = tens digit of the original number

U = units digit of the original number

U+T = 10 since the digits add to 10. Solve for U to get U = 10-T

10T+U = original number

10U+T = new number where digits are reversed

-----------

new number = (old number) + 36

10U+T = (10T+U)+36

10U+T = 10T+U+36

10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T

100-10T+T = 10T+10-T+36

-9T+100 = 9T+46

100-46 = 9T+9T

54 = 18T

18T = 54

T = 54/18

T = 3 is the tens digit of the original number

U = 10-T

U = 10-3

U = 7 is the units digit of the original number

10T+U = 10*3+7 = 30+7 = 37 is the original number

73 is the reversed number.

73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.

6 0
3 years ago
Read 2 more answers
Claire is putting up a fence around her rectangular garden. The length is four less than double the width. The perimeter is 22 f
Doss [256]

Answer:

The dimensions are 6 by 5 feet.

Length = 6 feet.

Width = 5 feet.

Step-by-step explanation:

Let the length = L

Let the width = W

Perimeter of a rectangle = 2L + 2W

Translating the word problem into an algebraic equation, we have;

L = 2W - 4 ........equation 1

22 = 2L + 2W .......equation 2

Substituting the value of "L" into equation 2, we have;

22 = 2(2W - 4) + 2W

22 = 4W - 8 + 2W

22 + 8 = 6W

30 = 6W

W = 30/6

Width, W = 5 feet.

To find the length, L

Substituting the value of "W" into equation 1, we have;

L = 2W - 4

L = 2(5) - 4

L = 10-4

Length, L =6 feet

Therefore, the dimensions of the garden are 6 by 5 feet.

5 0
3 years ago
2x-2 ???????????????????????????????????????????????????
Soloha48 [4]
-4 also chill on the question marks LOL
3 0
4 years ago
! The snowfall between midnight and 6 A.M.
SpyIntel [72]
1 foot of extra snow fell during the first half if the day
7 0
3 years ago
Mr. Tran is teaching his daughter vowels. He placed sets of cards into two separate bags. What is the probability that his daugh
Pavlova-9 [17]

Answer: bag 1 40%

bag 2 25%

i think hope it helped

Step-by-step explanation:

4 0
3 years ago
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