Two negatives <em>do not </em>equal a positive when adding. If you're in debt and you add more debt, does that get you out of debt?
Two negatives <em>do </em>equal a positive when you're multiplying them together though. This makes sense if you imagine multiplication as squishing or stretching a particular number on the number line. For example, imagine multiplying 2 x 1/2 as <em>squishing </em>the number 2 two times closer to 0. When you multiply 2 by a negative number, say, -1, you squish it so far down that you <em>flip it to the negative side of the number line</em>, bringing it to -2. You can imagine a similar thing happening if you multiply a number like -4 by -2. You squish -4 down to zero, and then <em>flip it to the positive side</em> and stretch it by a factor of 2, bringing it to 8.
Find X:
38=(3x+4)+(5x-6)
combine like terms
38=8x-2
add 2 to both sides
40=8x
divide both sides by 8
5=x
Find AB:
16=3x+4
subtract 4 from both sides
12=3x
divide by 3
4=x
Find BC:
16=5x-6
add 6 to both sides
22=5x
divide both sides by 5
The answer is 113.04. Volume of a sphere is 4/3*pi*r³so 4/3*3.14*3³=113.04
Answer: 5. The second box required more material to make.
6. A company saves about $84.94 by choosing to make fifty boxes of the smaller box in comparison to fifty boxes of the larger box.
Step-by-step explanation:
5. To solve this problem you need to find the volume of the boxes.
Volume of the first box.
v= 8 * 6.25 * 10.5
v= 525
Second box volume
9 * 5.5 * 11.75 = 581.625
Which means the second box required more material to make because it has the greatest volume.
6. To solve this you have to multiply the volume of small and large boxes by 50 the multiply it by 0.03.
525 * 50 = 26250 * 0.03 = 785.5
581.625 *50 = 29081.25 * 0.03= 872.4375
872.4375 - 785.5 = 84.9375 which is about $84.94.
