We have the following variable:
x = The amount of orange juice
We have the following equation:
x + (× + 100) + 1/2 × = 1850
We clear x:
(5/2) x + 100 = 1850
(5/2) x = 1850 - 100
(5/2) x = 1750
x = 1750 / ((5/2))
x = 700 ml
pineapple juice = × + 100 = 700 + 100 = 800 mL
strawberry juice = 1/2 × = (1/2) 700 = 350 mL
The difference is:
800 - 350 = 450 mL
Answer:
The difference in the amounts of pineapple juice and strawberry juice martin combined was:
450 mL
Using the Fundamental Counting Theorem, it is found that there are 90 ways to choose the three side dishes.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- For the vegetable, there are 5 options, hence
.
- For the starch, there are 3 options, hence
.
- The remaining dish is free, which means that there are 5 + 3 - 2 = 6 options, hence
.
Then:
N = 5 x 3 x 6 = 90.
There are 90 ways to choose the three side dishes.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
Answer:
Step-by-step explanation:
24 is a composite number.
Prime factorization: 24 = 2 x 2 x 2 x 3, which can be written 24 = 2³ x 3
The exponents in the prime factorization are 3 and 1. Adding one to each and multiplying we get (3 + 1)(1 + 1) = 4 x 2 = 8. Therefore 24 has exactly 8 factors.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factor pairs: 24 = 1 x 24, 2 x 12, 3 x 8, or 4 x 6
