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GuDViN [60]
3 years ago
5

find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the large

st number​
Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0

A generic odd number can be written as

2k+1,\quad k \in \mathbb{Z}

Since there is an odd number every two numbers, three consecutive odd numbers will be

2k+1,\quad 2k+3,\quad 2k+5

Now let's make up the equations: the sum of the first two is

(2k+1)+(2k+3)

And 27 less than 3 times the largest is

3(2k+5)-27

These two must be the same, so we have

(2k+1)+(2k+3)=3(2k+5)-27 \iff 4k+4 = 6k+30-27 \iff 4k+4=6k+3

Subtracting 4k and 3 from both sides gives

1=2k \iff k=\dfrac{1}{2}

Which means that the problem has no solution.

To confirm this hypothesis, we can observe that, on the left hand side, we have the sum of two odd numbers, which is even

On the right hand side, we have an odd number, multiplied by 3 (still odd), take away 27 (still odd).

So, the left hand side is even, and the right hand side is odd. They can't be the same number.

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Answer: M= -1

Step-by-step explanation:

18m + -5m + 8m= -21 (combine like terms)

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m = -1

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3 years ago
What is 92.583 rounded to the nearest tenth
Stolb23 [73]
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Kruka [31]

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Now we just need to plug x=x-5 and y=y+7 in our equation (remember f(x)=y):

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2 years ago
Dave measures his calculator using erasers and paperclips. It is about 2 erasers long. Which is true?
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Answer:

Step-by-step explanation:

In the US, the most common eraser that is sold are the regular Pink Press erasers. These, as shown in the image below, are roughly 2.2 inches long. The most commonly used paper clip size is about 1.375 inches long. Assuming that these are the items that Dave is using to measure, then we can calculate the size of the calculator which is 2 erasers long...

2.2 + 2.2 = 4.4 inches long

The calculator is roughly 4.4 inches long, we can also divide this number by the length of the paper clip to find out how many paper clips make up the calculators length

4.4 / 1.375 = 3.2 paper clips

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