Answer:
455 or 680, depending
Step-by-step explanation:
If we assume the three choices are different, then there are ...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to make the pizza.
___
If two or three of the topping choices can be the same, then there are an additional ...
2(15C2) +15C1 = 2·105 +15 = 225
ways to make the pizza, for a total of ...
455 + 225 = 680
different types of pizza.
__
There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.
_____
nCk = n!/(k!(n-k)!)
9514 1404 393
Answer:
- 3/2
- it is the ratio of oil to vinegar in the dressing
- y = 3/2x
Step-by-step explanation:
1. The table can be filled in like this:
- (x, y)
- (0, 0)
- (2, 3)
- (4, 6)
- (6, 9)
The constant of proportionality is the ratio of y to x:
k = 3/2
__
2. The meaning of the constant of proportionality is just what it is defined to mean: the ratio of oil to vinegar in the dressing.
__
3. The equation is y=kx, where k is the value in part 1:
y = (3/2)x
Answer:
Step-by-step expla3
x
−
2
y
<
10
Solve for y
.
Tap for more steps...
y
>
−
5+
3
x
2
Find the slope and the y-intercept for the boundary line.
Tap for more steps...
Slope:
3
2
y-intercept:
(
0
,
−
5
)
Graph a dashed line, then shade the area above the boundary line since
y
is greater than
−
5
+
3
x
2
.
y
>
−
5
+3
x2
•First you multiply parentheses by 3 24+3n-15=24
•then u cancel equal terms 3n-15=0
•Move the constant to the right
3n-15=0
3n=15
•Divide both sides by 3
Answer is n=5 ☺️
Answer:
Cameron need to mow 4 lawns.
Step-by-step explanation:
Cameron needs 11$ for some new toys.
But he charges 3$ to mow a lawn.
So, he needs to mow 11/3= 3.66... lawns
The number of lawns can not be decimal. So, let's round to next whole number as 4.
