Answer:
they should buy 10 boxes
Step-by-step explanation:
300/30 = 10
Answer:

Step-by-step explanation:
The point slope form of a line is
where
. We write
Convert point slope form to slope intercept form by simplifying and rearranging.

Now the width is w.
It's twice as long as wide, so now the length is 2w.
If the length is increased by 4 cm, the length will be 2w + 4.
The width is decreased by 3 cm, so the width will be w - 3.
The are of the new rectangle is 100 cm^2.
area = length * width
area = (2w + 4)(w - 3)
The area of the new rectangle is 100, so we get
(2w + 4)((w - 3) = 100
2w^2 - 6w + 4w - 12 = 100
2w^2 - 2w - 112 = 0
w^2 - w - 56 = 0
(w - 8)(w + 7) = 0
w - 8 = 0 or w + 7 = 0
w = 8 or w = -7
A width cannot be negative, so discard w = -7.
w = 8
The width is 8 cm.
The length is twice the width, so the length is 16 cm.
Answer:
4 and 4
Step-by-step explanation:
Method A
1) Method A: Let 2 be the starting point and -2, the finishing one. Counting between 2 and -2, we can count a distance of 4 units. That's the simplest way, but not convenient to great numbers on the Number Line.
Method B:
There is no such thing as a negative distance, as a physical quantity. So this is the reason why we need to compute the absolute value of two numbers, which is simply what was done on Method B.
|2-(-2)|=|4|=4
As we are dealing with absolute values, the order is not relevant after all, the result remains the same. Take a look:
|-2-2|=|-4|=4
That's why the greater (2) or the lesser number (-2) can be the subtrahend (in bold within the brackets.