Answer:
2
Step-by-step explanation:
8 x 1/4 = 2
He ate 2 slices
1a. It does say y is "less than 8", which means 7, 6, 5, 4, etc. So it should be y < 8, with the arrow going from 8 to the the left.
Everything else in 1 is correct.
For 2, you're just picking out which of the given numbers satisfy the inequality, for example
a. 14, 15, 16 are solutions. 13 is not because it is less than 14.
3. Same thing as 1
Answer:
756π cm^3.
Step-by-step explanation:
Volume of the cone
270π = 1/3 π r^2 h
270π = 1/3 π r^2 * 10
r^2 = 270 / ( 10/3 )
r^2 = 81
r = 9 cm.
So the volume of the hemisphere = 1/2 * 4/3 * π * 9^3
= 486π cm^3.
So the volume of the whole solid = 270π + 486π
= 756 π cm^3.
Answer:
x=3*2 1/3
Step-by-step explanation:
In order to solve this non-linear equation, we need to move all the terms to the left side.
In our example,
- term 3, will be moved to the right side.
Notice that a term changes sign when it 'moves' from one side of the equation to the other.
(x^3 + 3) + (-3) = 57 + (-3)
We need to get rid of expression parentheses.
If there is a negative sign in front of it, each term within the expression changes sign.
Otherwise, the expression remains unchanged.
In our example, there are no negative expressions.
x^3 + 3 - 3 = 57 - 3
