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defon
3 years ago
8

Please help quick! will mark brainliest answer!

Mathematics
1 answer:
nadezda [96]3 years ago
5 0

Answer:

A)43

Step-by-step explanation:

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Find three consecutive even integers such that 3 times the first is 26 less than twice the sum of the last two
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Let's say our first integer is "a".

how to get the next consecutive EVEN integer?  well, just add or subtract 2 from it, therefore, the second consecutive integer will be "a + 2".

and the next after that, will then be (a + 2) + 2, or "a + 4".

so those are are 3 integers, a           a + 2           a+4

notice that, from any even or odd integer, if you hop twice either forwards or backwards, you'll land on another even or odd integer respectively.

2 + 2 is 4, or 8 + 2 is 10  some even ones

3 + 2 is 5, or 13 + 2 is 15, some odd ones

\bf \stackrel{\textit{3 times the first}}{3a}~~=~~\stackrel{\textit{26 less than twice the sum of the others}}{2[~(a+2)+(a+4)~]~~~-26}
\\\\\\
3a=2[~2a+6~]-26\implies 3a=4a+12-26\implies 3a=4a-14
\\\\\\
0=a-14\implies 14=a

what are the other two consecutive integers?  well, a + 2 and a + 4.
4 0
3 years ago
Find the slope of the line passing through the point (-3, 6) and the origin.<br> M=
Nuetrik [128]
You know b=0 because it is passing through the orgin (0,0) and b is the y intercept. You input (-3,6) as (x,y)

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3 years ago
Marvel or DC? Which is better?
goldfiish [28.3K]

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Step-by-step explanation:

Just way better and deeper plotline in my personal opinion.

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The ratio of the side lengths of a quadrilateral is 3:3:5:8, and the perimeter is 380cm. What is the measure of the longest side
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Answer: The second option (160 cm)

Step-by-step explanation:

1. You can obtain the perimeter of a quadrilateral by adding the lenghts of the sides.

2. You know that the ratio of the side lengths is 3:3:5:8 and the perimeter is 380 centimeters.

3. Therefore, you can write the following expression, where x is an integer:

3x+3x+5x+8x=380

4. Solve for x:

3x+3x+5x+8x=380\\19x=380\\x=\frac{380}{19}\\x=20

5. Therefore, the longest side is:

8x=8*20=160 (160 cm)

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^{4/} \frac{24}{25} = \frac{96}{100}

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