so, the cube has a <u>cubic hole</u> in the middle.
now, if we nevermind the hole, the volume of the cube, or rectangular prism, is simply the product of its length, width and height, namely 20*20*5, or 2000 cm³.
however, we'll need to subtract the hole from it, and since the hole is another rectangular prism, then its volume is 5*5*5 = 125 cm³.
so if we <u>subtract the volume of the hole</u> from the total volume of the cubic container, what's leftover is just the volume of the <u>cube without the hole</u>, namely
2000 - 125 = 1875 cm³.
I need to know x is exactly
AB is divided into 8 equal parts and point C is 1 part FROM A TO B, so the ratio is 1:7, with C being 1/7 of the way. The ratio is k, found by writing the numerator of the ratio (1) over the sum of the numerator and denominator (1+7). So our k value is 1/8. Now we need to find the rise and the run (slope) of the points A and B.
. That gives us a rise of -4 and a run of 12. The coordinates of C are found in this formula:
. Filling in accordingly, we have
which simplifies a bit to
. Finding common denominators and doing the math gives us that the coordinates of point C are
. There you go!
<span>In February, you have a balance of $270 in your bank account.
</span><span>In January, you have a balance of $270 - $45 = $225 in your bank account.
</span>In December, you have a balance of $225 - $45 = $180 in your bank account.
y = $180 + $45x, where x = 1, 2, 3, 4...
Balance in June: x = 6
y = $180 + $45x = $180 + $45×6 = $180 + $270 = $450
X=1
Explanation=
10*6 = 60
3+7+7+12+9+10+4+2+5= 59
60-59=1