To find the volume of this composite figure, we simply need to take the volume of the large rectangular prism and subtract the volume of the chunk that was taken out of it.
So, we will start by just multiplying for volume of the entire whole prism, which would simply be length * width * height.
10 * 7 = 70
70 * 6 = 420
The volume of the entire figure, without the bit missing, is 420 cubic centimeters.
Now, we need to subtract the volume of the missing piece.
So we will take the volume of the smaller missing piece. We are given the length and width (3 and 6), but we don't know the height. We can find the height, though from the information given. We know that the height of the entire figure is 7, and that the distance from the bottom of the figure to the bottom of the chunk missing is 4, so we can just subtract to find the height of the missing figure.
7 - 4 = 3
And the height of the missing piece is 3.
So now, we can multiply:
3 * 6 = 18
18 * 3 = 54
The missing figure has a volume of 54 cubic centimeters.
Now, we can subtract.
420 - 54 = 366
The composite figure has a volume of 366 cubic centimeters.
Hope that helped! =)
using the formula:
y = mx +b
Using the given slope and coordinate points we get:
-1 = -3(2) + b
-1 = -6 + b
add 6 to each side
5 = b
y = -3x + 5
which is the same as:
3x + y = 5 ...answer choice a
70% of the fish are swordtail fish.
30% of 90 is 27, so there are 27 rainbow fish.
70% of 90 is 63, so there are 63 swordtail fish.
It is very simple to figure this question out. It is a little difficult to explain for me, but I will try as best I can.
90 fish is the most amount of fish allowed in the tank, so that means it's 100% of fish in a tank. Since only 30% of the fish are rainbow, that means the leftover has to be swordtail. So you do the math:
100% - 30% = 70%
Now for this part, you have to figure out how many fish are equal to those percentages. 90 is an easy number in this equation.
Put a decimal at the end of 90
It becomes 90.
90. is the same as 90 so nothing has changed. Now you're going to move the decimal over to the left one time. The number 90 now becomes 9.0, or just 9
We take the 30% and get rid of the zero on the end so it becomes a 3. Now you multiply 9 times 3, which equals 27. So, you have 27 rainbow fish.
Do the same with the 70% as well. Get rid of the zero at the end so it's just 7 and multiply it by 9. 7x9=63
If you want to check your work, you can add 27 + 63, and that equals 90. Since 90 is the most amount of fish you can have in the tank, you know you have the right answer.
I apologize if this was confusing. It took me a while to understand this stuff, but once I got the hang of it, it was very simple. Good luck on your work!