32 students choose a favorite topping for their slices.
Let x be the total number of students.
1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.
We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x
We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x
Combining like terms:
7/8x+4=x
Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x
Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
Answer:
It's 2
Step-by-step explanation:
Because
-16/-8=2
Answer:
3x^2 - 8x + 4.
Step-by-step explanation:
36x^3 - 96x^2 + 48x
Dividing by 12 term by term:
= 3x^2 - 8x + 4.
Answer:
see explanation
Explanation:
the graph of g(x) is the graph of f(x) shifted vertically by
+ 6 units
or equivalent to a translation
(
0
6
)
in general
g
(
x
)
=
x
2
±
a
for
a
>
0
shift is
(
0
a
)
↑
⏐
⏐
⏐
⏐
for
a
<
0
shift is
(
0
−
a
)
⏐
⏐
⏐
⏐
↓
graph{(y-x^2)(y-x^2-6)=0 [-20, 20, -10, 10]}
Step-by-step explanation:
The formula for the lateral surface area of a right circular cone is:
where r is the radius of the base, and l is the slant height.
Plugging in the values we get:
