How many combinations of 3 students can a teacher choose from 32 students?   A. 96   B. 4960   C. 29,760   D. 32,768

Answers

Answer 1
Answer: (32*31*30)/(3*2*1)

The answer is:(29760)/(6) or 4960 


Answer 2
Answer: {32\choose3}=(32!)/(3!*(32-3)!)=(30*31*32)/(6)=4960

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Natalie has 350 pencils. She is packing them in boxes that each hold 14 pencils. How many boxes will Natalie fill with pencils?

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Answers

Answer:

25 boxes

Step-by-step explanation:

Simple math.

Just do 350/14

Answer:25 boxes

Step-by-step explanation:

Which of the following options have the same value as 65%, percent of 20?

Answers

This question is incomplete. Hereis the complete question:

Which of the following options have the same value as 65% of 20?

(A) 0.65⋅20 (B) 65/100 divided by 20 (C) 65/20 * 100 (D) 65 * 20

Answer:

The correct answer is option (A) 0.65⋅20

Step-by-step explanation:

In this case they are asking us for an expression that is equivalent to 65% of 20. They are not asking us what is the value of that operation.

When we do a percentage calculation we can do it in two ways.

Let's see each one of them:

. (65 * 20): 100 =

  1300: 100 = 13

. 0.65. 20 = 13

As we can see both ways we get the same result.

Given this information we can say that the correct answer is option A.

Answer:

13

Step-by-step explanation:

You find out what is one percent then multiply from there

Write the fraction 6/6 as a sum of fractions 3 different ways

Answers

12/12, 4/4, and 2/2 there's three other ways you could do 6/6

Use the circle graph to determine how many hours per day Becky spends on each activity.School:____ Hours School= 25%
Eating:_____Hours Eating= 10%
Sleep:______Hours Sleep: 40%
Homework:____Hours Homework= 10%
Free Time:_____ Hours Free Time= 15%

Answers

404 error: graph not found

anyway, the graph was not included. since the sleep time was included, I will assume that the circle graph is worth 24 hours

all we need to do is to convert the percentages to fractions and multiply that by 24 to find out how many hours per activity


percent means parts out of 100 so x%=x/100


so we have
School
Eating
Sleep
Homework
Free Time

School=25%
25%=25/100=1/4
1/4 times 24=6
School: 6 hours


Eating=10%
10%=10/100=1/10
1/10 times 24=2.4
Eating: 2.4 hours


Sleep=40%
40%=40/100=4/10=2/5
2/5 times 24=48/5=9.6
Sleep: 9.6 hours


Homework=10%
10%=10/100=1/10
1/10 times 24=2.4
Homework: 2.4 hours


Free Time=15%
15%=15/100=3/30
3/20 times 24=72/20=36/10=3.6
Free Time: 3.6 Hours

Answers:
School: 6 hours
Eating: 2.4 hours
Sleep: 9.6 hours
Homework: 2.4 hours
Free Time: 3.6 Hours


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Answers

Move all terms that don't contain c to the right side and solve.

Answer: c = 0

PLEASE HELP DUE TOMORROW!!! Anne's cable bill averages $120.00 per month, based on a fixed fee of$30 and $0.25 per hour of internet usage. What is the number of
hours of internet Anne averages per month?

Answers

120 - 30 = 90

90/0.25 = 360

Anne spends an average of 360 hours on the internet per month.