Find three consecutive even integers such that the sum of the smallest to the largest 36
Answers
If they were all the same integer, then each one would be
1/3 of 36, and you would have
12 + 12 + 12 = 36 .
But you don't want them to all be the same number. You
want them to be three consecutive even numbers.
Fine ! Take 2 away from the first 12, and glue it onto the last 12 .
Their sum doesn't change, but now you have
10 + 12 + 14 = 36 .
x+(x+2)+(x+4)=36
3x+6=36
-6 -6
3x=30
--- ---
3 3
x=10
Now, we just plug in the numbers to find the consecutive integers
10+(10+2)+(10+4)
10+12+14
So your 3 consecutive even integers are 10,12 and 14
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0.3
3.0 divided by 10 equals 0.3
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what i would do first is distribute to get rid of those evil parenthesis and make this all simple ^-^
So, we take 8 times x, and 8 times 4.
Our equation, is now 12 - 2x = 8x + 32
Now, what i would do, is simplify it. Get x to one side, and a whole number to the other. Well, for me it would be easier to keep the larger number on the right, and x on the left!
So we have to be fair, and keep it equal! So, i would start with.... subtracting 32. Since its a positive 32, to cancel it out we have to subtract 32, to get to zero! so, by subtracting 32 on both sides ( 12 - 32 and 32 - 32) we end up with -20 - 2x = 8x
Now looking at - 20 - 2x = 8x, i can see what i need to do. i need to get x to one side, and whole numbers to the other. There are no whole numbers on the right, just variables and coefficients, so i have to get that x away from the left!
So, im going to add 2x on both sides, to eliminate it! So we add 2x on the left to cancel it out, and add 2 x on the right to balance it out! We are now left with -20 = 10x
Now what we do is we get rid of that tag along right by the x! Yep, that little 10 there! He has to go!
How to we get rid of him? Well, he is being multiplied by the x! So, we have to do the opposite and divide to get him alone. So, we divide by 10 on both sides, and we are left with -2 = x!
Now, time to check your answer! Basically, you replace x with -2 in the equation! Here we go:
12 - 2(-2) = 8(-2 + 4)
First we should start with multiplying! when we multiply the -2 in the equation, we get 12 + 4 = 8(2), and we can finish that off by simplifying it to 12 + 4 = 16
when we simplify it and add 12 + 4, we get 16. So we are left with 16 = 16.
This equation is true, so we are right! -2 DOES equal x!
Select one:
a. The slope of the line is 3.
b. The slope of the line is y.
c. The slope of the line is 0.
d. The slope of the line is undefined.
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HOY -- horizontal line, 0 slope, represented by y = a number
VUX -- vertical line, undefined slope, represented by x = a number.
so we have y = 3
this is a horizontal line which has a 0 slope.
B. √50
C. 2.33333333333333
D.√144
If you answer you will be rewarded
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In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Answer: D
Im positive it is D and it might be 2.3333333333. But, i will stick with D.
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Oy+y= 2 y
Oy+ (-) = 0
Oy+ 0 = y
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Answer:
the statement shows the inverse property of addition as the sum of a number and its inverse is zero.
Step-by-step explanation:
As we know that Inverse Property of Addition states if you add any number to its opposite, the result will be zero.
For example, 13 + (-13) = 0 shows that -13 is the additive inverse of 13.
In other words, the sum of a number and its inverse is zero.
Now checking from the available options,
Thus,
Therefore, the statement shows the inverse property of addition as the sum of a number and its inverse is zero.