Answer:
110 cubic inches.
Step-by-step explanation:
Break the figure into 3D shapes you can find the volume of:
5x2x3 = 30
8x5x2 = 80
Add the 2volumes together:
30+80= 110
Hope this helps! Have a good day!
Answer:
a : c = 7 : 10
Step-by-step explanation:
The two ratios (a : b and b : c) both have b in common, so to work out what a : c is, we can use b to 'bridge' the two ratios together.
However, in a : b, b is 4. But in b : c, b is 2. We need to make sure b is the same in both ratios before we can combine the ratios together. The easiest way to do this is to multiply b : c by 2 to get b : c = 4 : 10. Now b is 4 in both ratios.
So now, we can combine the two ratios together to get a : b : c = 7 : 4 : 10. Since we only want a : c though, we can just drop the b and get a : c = 7 : 10. No simplifying is necessary since the ratio is already in its simplest form.
Hope that helps! :)
Answer:
x = 5
Step-by-step explanation:
Solve for x:
2 (2 x - 5) = 3 x + x - 2 x
3 x + x - 2 x = 2 x:
2 (2 x - 5) = 2 x
Divide both sides by 2:
2 x - 5 = x
Subtract x from both sides:
(2 x - x) - 5 = x - x
2 x - x = x:
x - 5 = x - x
x - x = 0:
x - 5 = 0
Add 5 to both sides:
x + (5 - 5) = 5
5 - 5 = 0:
Answer: x = 5
13 - (x+2) = 8
subtract 13 from both sides
-(x+2) = -5
divide by -1 to get rid of negative
(x+2) = 5
subtract 2 from both sides
x=3
