Answer:
381 different types of pizza (assuming you can choose from 1 to 7 ingredients)
Step-by-step explanation:
We are going to assume that you can order your pizza with 1 to 7 ingredients.
- If you want to choose 1 ingredient out of 7 you have 7 ways to do so.
- If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so
- If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so
- If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so
- If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so
- If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so
- If you want to choose 7 ingredients out of 7 you have C₇,₇= 1 ways to do so
So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127 ways of selecting ingredients.
But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.
Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.
Therefore, there are 381 different types of pizza.
The answer is C: No the percentage of students that prefer sports is higher than the percentage of those that prefer movies! Hope this helps.
Answer:

Step-by-step explanation:
Tan 34 = 
Where opposite = 29, adjacent = AC
So,
0.674 = 
AC = 
AC = 42.99
192.
2(8+4)÷2(8+8) = 1(4+8)×(8+8)
1×12×16=192.
Let
x = first consecutive odd
x + 2 = second consecutive odd
Based on the problem, we equate
x + (x + 2) = 32
Solving for x,
2x + 2 = 32
2x = 32 - 2
2x = 30
x = 30/2
x = 15
and x + 2 = 15 + 2 = 17
Therefore, the integers are 15 and 17.