Direct variation model: y = kx, where k is the constant of proportionality.
Only (d) satisfies this definition. There must be no offset of the straight line graph away from the origin (0,0).
You can do this !
The rectangular prism has
-- length = 10 cm
-- width = 7 cm
-- height = 3 cm.
-- The area of the top and bottom is (length x width) each.
-- The area of the left and right sides is (length x height) each.
-- The area of the front and back is (width x height) each.
There. I just laid out all the schmartz you need to answer this question.
The rest is all simple arithmetic, and you're perfectly capable of turning
the crank and getting the answer. You don't need anybody else to do
that part for you.
Don't forget your units. The area of each flat face is (cm) times (cm),
and that product will be some cm² , for area.
n, n + 2, n + 4 - three consecutive even integers
the twice the sum of the second and third: 2[(n + 2) + (n + 4)]
twelve less than six times the first: 6n - 12
The equation:
2[(n + 2) + (n + 4)] = 6n - 12
2(n + 2 + n + 4) = 6n - 12
2(2n + 6) = 6n - 12 <em>use distributive property</em>
(2)(2n) + (2)(6) = 6n - 12
4n + 12 = 6n - 12 <em>subtract 12 from both sides</em>
4n = 6n - 24 <em>subtract 6n from both sides</em>
-2n = -24 <em>divide both sides by (-2)</em>
n = 12
n + 2 = 12 + 2 = 14
n + 4 = 12 + 4 = 16
<h3>Answer: 12, 14, 16</h3>
Answer:
write 16 in the soup column and 27 in the peanut butter column
