To win a trivia game, Nevan must score 90 points. Each correct answer is worth 1 3/4, and each incorrect answer is -1 1/4, if he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score?

Nevan does not win

He scored 74 points

Step-by-step explanation:

First, find how many points he gets from 58 correct questions:

Multiply 1 3/4 by 58:

58(1.75)

= 101.5

Then, find how many points he loses from 22 incorrect questions:

Multiply -1 1/4 by 22:

22(-1.25)

= -27.5

Then, subtract 27.5 from 101.5 to find how many points he scored:

101.5 - 27.5

= 74

Since he needed 90 points to win, he did not win because he only got 74.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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