Marissa got an 85% on her math quiz. If she got 34 questions right, how many questions were on the test?
2 answers:
To solve this problem we need to determine if 85% is 34, then what is 100%
The easiest way to do this is to set up a proportion
Being
To figure out the "rule" between 85 and 100, we divide 100 by 85.
100/85 = 20/17
To check our rule we can do 85 x 20/17 which = 100
Now to solve the problem so, 34 x 20/17 = 40
Our answer would be 40 :)
If Marissa got an 85% on her math quiz and she got 34 questions right, there would be a total of 40 questions on the test.
I hope this helps!
The easiest way to do this is to set up a proportion
Being
To figure out the "rule" between 85 and 100, we divide 100 by 85.
100/85 = 20/17
To check our rule we can do 85 x 20/17 which = 100
Now to solve the problem so, 34 x 20/17 = 40
Our answer would be 40 :)
If Marissa got an 85% on her math quiz and she got 34 questions right, there would be a total of 40 questions on the test.
I hope this helps!
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Answer:
Step-by-step explanation:
This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr
i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.
I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.
Recall that
Consider question a) we are given (5 1) or ₅C₁
we can see that n = 5 and r = 1
If we substitute this into the formula:
₅C₁ = (5!) / [ (1!)(5- 1)!]
= (5!) / [ (5- 1)!]
= (5!) / (4!)
= (5·4·3·2·1) / (4·3·2·1)
= 5
hence ₅C₁ = 5