Answer:

Step-by-step explanation:

The tank with Chemical X "takes up" a space of 25ft³. Ordinarily we think of something "taking up" space as being area or surface area; however, area is a square measurement, and this is cubic; this must be volume. The volume of the tank with Chemical X is 1.5 times the volume of the tank containing Chemical Y; setting this up in an equation we would have
25 = 1.5<em>V</em>
We would divide both sides by 1.5 to get the volume of the tank containing Chemical Y:

To find the volume of a cylinder, we find the base area and multiply by the height. We know the volume and we know the base area, so our equation to find the height of the tank containing Chemical Y would look like:

We would now divide both sides by 3 2/10:

This is the same as:

So the height of the tank containing Chemical Y is 500/96 = 5 5/24 feet.
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.
If you need help visualizing this, you might draw vertical lines at distance = 1 and at distance = 5. Look at the points where those lines cross f(x). The vertical difference is perhaps 350 ft. Look at where the lines cross g(x). That vertical distance may be about 200 ft.
The vertical change from 1 to 5 is considerably less for g(x) than for f(x).
Tory should choose path ...
g(x)
Answer:
x= "a certain number of inches"
side a= x-3
side b= 2 inches
multiply:
Area= a(b)
A= (x-3)2
A= 2(x-3)
distribute:
A= 2(x-3)
A= (2*x) + (2*-3)
A= 2x-6
Area= 2(x-3)
Area= 2x-6
Step-by-step explanation:
The area of the rectangle is equal to the multiple of its two sides this is equal to two inches times an expression three less than a certain number "x". Using the distributive property, we can solve this expression further to find that the area of this rectangle is also equal to six less than doubling a certain number x.