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Black_prince [1.1K]
3 years ago
11

twice the sum of a number and 8 is equal to 3 times the difference of the number and 7 find the number ​

Mathematics
1 answer:
GaryK [48]3 years ago
4 0
The answer should be 37



2(x+8) = 3(x-7)

distribute
2x+16 = 3x-21

Subtract 2x from both sides
2x+16-2x = 3x-21-2x
16 = x-21

Add 21 to both sides
16+21 = x-21+21
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1<br> What is the equation of the line parallel to 8x - 16y= -14 and passing through (3, 0)?
andreev551 [17]

Answer:

8x -16y = 24

Step-by-step explanation:

8x - 16y= -14

A parallel line (i.e. same slope) will be: 8x - 16y= c

We have to find the value of "c".

If it passes through (x, y) = (3, 0) ⇒ 24 - 0 =  c,

so equation is 8x -16y = 24

7 0
3 years ago
The product of two consecutive odd integers is 782. What are the integers?
Alex Ar [27]

Call the smaller of the two odds = n

Call the next number in the sequence = n + 2

n*(n +2) = 782           Remove the brackets.

n^2 + 2n = 782          Subract 782 from both sides.

n^2 + 2n - 782 = 0    We are going to have to factor this.

Discussion

This problem can't be done the way it is written. The product of an odd integer with another odd integer is and odd integer. There are no exceptions to this. So you need to give a number that has two factors very near it's square root for this question to work.

For example, you could use 783, (which factors) instead of 782 .

Solve

n^2 + 2n - 783 = 0

(n + 29)(x - 27) = 0

<u>Solution One</u>

n - 27 = 0

n = 27

The two odd consecutive integers are 27 and 29.

<u>Solution Two</u>

n + 29 = 0

n = - 29

The two solution integers are -29 and - 27 Notice that - 29 is smaller than - 27.

7 0
4 years ago
Could someone help me give an explanation
Dmitry [639]
Because 2x2x2x2 = 8 and then you multiply it with 4 which is .. 32 and 6x12 is equal to 6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6 is equal to 2176782336
8 0
3 years ago
3 5/6 x 8 as a fraction
kirza4 [7]

Answer: 92/3 OR 30 2/3 ??

Step-by-step explanation:

3 0
3 years ago
Can someone help with this I didn’t pay attention in math and I have homework ‍♀️
Lady bird [3.3K]

Answer:

C.

Step-by-step explanation:

Even though it is absolute value, 17 is still the greatest answer. If a number is in absolute value it will never be negative, only positive values can come out of an absolute value.

An example for absolute value would be if you had to measure the amount of distance away from something, even if its behind you, it would still be a positive number of length away from you.

If you had the absolute value of -25, it would automatically be equal to 25.

So circling back to the original problem, the absolute value of 17 would be greater than 3, -4 and -8. If (hypothetically) it was the absolute value of -17 it would still be greater because it would equal 17.

I hope that made sense, im sorry that it's a bit lengthy. Have a good day :)

7 0
2 years ago
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