is to say that for any
, we can find
such that
implies
.
To that end, we have
which means that if
is given, then we can choose
; if
, then
; if
, then
.
Answer:
I think that the answer is either B or C
Step-by-step explanation:
I concluded to this answer simply by looking at where the lines were placed.
Remember that if a line is not touching, but next to another line, they are parallel to each other? Well, that doesn't change here. since, {m angle 1} and {m angle 2} added together equal 180, I would believe that the answer is C, but I may be wrong.
Well, I hope that helps :)
Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box
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The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x
Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).
The height of the box is x inches due to this portion being folded up.
Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x
Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).
Answer:
d) 5 lollipops each and 3 left over
Step-by-step explanation:
To find out how many each of them get, you need to find the total amount of lollipops to be shared equally.
Total No. of lollipops = 3 + 5 + 7 + 4 + 9
= 28
No. of lollipops each of them get = 28 ÷ 5
= 5 R3
(To find the remainder of something, you have to know how much is the quotient (which is 5 in this case), multiply it by the divisor (which is also 5 in this case) then minus that number from the total (which is 28 in this case) )
Additional working:
5 × 5 = 25
28 - 25 = 3 (remainder)
