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likoan [24]
3 years ago
12

Three consecutive even integers have a sum of -48. Find the largest integer.

Mathematics
1 answer:
kobusy [5.1K]3 years ago
6 0

Answer:

<h3>           - 14</h3>

Step-by-step explanation:

{x -  some integer}

2x  -  the first even integer

2x+2  -  the second consecutive even integer

2x+4  -  the third consecutive even integer (the largest)

2x + 2x+2 + 2x+4  - the sum of three consecutive even integers

2x + 2x+2 + 2x+4 = -48

   6x + 6  = -48

        ÷3         ÷3

    2x + 2 = -16

         +2      +2

     2x+4 = -14

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The perimeter of a rectangle is 12x + 4. If the width is 2x,<br> the length of the rectangle is
DENIUS [597]

Answer:

4x+2

Step-by-step explanation:

Perimeter = 2(width) + 2(length). So 12x+4 = 2(2x) + 2(length) .

12x+4 = 4x + 2(length) then subtract 4x from both sides to get 8x+4 = 2(length). In order to get length by itself you need to divide both side by 2.

4x+2 = length. Hope this helps!

6 0
3 years ago
A solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing
stepan [7]

Answer:

Step-by-step explanation:

Given that a solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing 9% alcohol.

Let x gallons of 12% alcohol be mixed with y gallons of 4% alcohol.

Total gallons= x+y = 20

Alcohol content in the total mixture = 0.12x+0.04y =9% of x+y

0.12x+0.4y=0.09(20)\\12x+4y = 180

b) Two equations are

x+y = 20\\12x+4y = 180

c) This is of the form Ax = B

where A =\left[\begin{array}{ccc}1&1\\12&4\end{array}\right]

Inverse is \frac{1}{4-12} \left[\begin{array}{ccc}4&-1\\-12&12\end{array}\right]\\=\frac{-1}{8} \left[\begin{array}{ccc}4&-1\\-12&12\end{array}\right]\\

Solution set is A inverse *B

= x \    12.5\\y  \     7.5

7 0
3 years ago
What is the value of the digit 2 in the number 425,611?
maw [93]

Answer:

20,000 or 10,000

Step-by-step explanation:

The 2 is in the ten thousandth place, but the value is 20,000

7 0
3 years ago
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ANTONII [103]

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I believe there is a more efficent way of doing this but I have forgotten.

4 0
3 years ago
PLEASE!!!!!!!!!! HELP NEEDED QUICK
Triss [41]
We have to find the expected value for the PlayBall lottery. 
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Thus, the option C gives the correct answer
4 0
3 years ago
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