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krek1111 [17]
3 years ago
10

Two times the greater of consecutive integers is 9 less than three times the lesser integer. What are the integers?

Mathematics
1 answer:
BigorU [14]3 years ago
6 0

Answer:

The integers are 11 and 12.

Step-by-step explanation:

Let x be the greater integer, then the lesser is x - 1, so:

2x = 3(x -1) - 9       Distribute the 3:

2x = 3x - 3 - 9       Subtract 3x from both sides:

-x = -3 - 9

-x = -12

x = 12.

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Answer:

A. 2·x² + 16·x + 32 ≥ 254

Step-by-step explanation:

The given dimensional relationship between the dimensions of the photo in the center of the cake and the dimensions of the cake are

The width of the cake = The width of the photo at the center of the cake, x + 4 inches

The length of the cake = 2 × The width of the cake

The area of the cake Wanda is working on ≥ 254 in.²

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