9514 1404 393
Answer:
- 3n+6 (n = smallest)
- 3n (n = middle)
Step-by-step explanation:
The usual method for doing this is to let n represent the smallest one. Then the three integers are ...
n, n+2, and n+4
and their sum is ...
(n) +(n+2) +(n+4) = 3n+6 . . . . sum of 3 consecutive odd integers (n = smallest)
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Personally, for consecutive number problems, I prefer to let the variable represent the average value. If n is the average value of 3 consecutive odd integers, is is the middle integer. Of course, the sum will be 3 times the average:
(n-2) +(n) +(n+2) = 3n . . . . sum of 3 consecutive odd integers (n = middle one)
75 42
----- -----
100 x
75 x= 4200
--- ------
75 75
x = 56
Answer:
9.8 Inch
Step-by-step explanation:
The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.
For a rectangular prism:
Length of the Longest diagonal 
Therefore:
Length of the pencil
9514 1404 393
Answer:
D. -17%
Step-by-step explanation:
The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...
-20/120 = -1/6
As a percentage, that change is ...
-1/6 × 100% ≈ -16.667% ≈ -17%
The electric bill changed by about -17% from March to April.
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<em>Additional comment</em>
Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.
The percentage change is found by ...
% change = ((new amount)/(original amount) -1) × 100%
Above, we have rearranged this to ...
% change = ((new amount) -(original amount))/(original amount) × 100%
Write the vertex form of the equation and find the necessary coefficient to make it work.
.. y = a*(x +3)^2 -2
.. = ax^2 +6ax +9a -2
You require the y-intercept to be 7. So, for x=0, you have
.. 9a -2 = 7
.. 9a = 9
.. a = 1
The equation you seek is
.. y = x^2 +6x +7
