The sum of two consecutive even integers divided by four is 189.5

Answers

Answer 1

Answer: Two consecutive even integers means that the numbers are two apart. Let's call the first even integer "n." The consecutive even integer would then be "n+2." Using these two expressions, create an equation that you can solve for the value of the integers:
(n + n + 2)/4 (sum of the integers divided by four) = 189.5

Now you can solve for the value of n:
$(n+n+2)/(4) = 189.5\nn+n+2 = 189.5(4)\n2n + 2 = 758\n2n = 756\nn = 378$

Since n = your first even integer, that means your first even integer is 378 and your consecutive even integer is 380.

Answer: 378 and 380

Answer 2

Answer: STEP 1:
find first integer

sum= addition
x= first consecutive even integer
x+2= second consecutive even integer

(x + (x+2))/4= 189.5
multiply both sides by 4

x + (x + 2)= 758
combine like terms

2x + 2= 758
subtract 2 from both sides

2x= 756
divide both sides by 2

x= 378 first integer

STEP 2:
substitute first integer to find second

= x + 2
= 378 + 2
= 380 second integer

CHECK:
(378 + 380)/4= 189.5
758/4= 189.5
189.5= 189.5

ANSWER: The first consecutive even integer is 378 and the second consecutive even integer is 380.

Hope this helps! :)

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Answers

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Answers

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What is a reflection?

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Finally, the top right point will stay true same on the x-axis, but will be on the axis in its image.

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