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2 years ago

Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost?

Mathematics

2 answers:

Gala2k [10]2 years ago

6 0

Answer:

six rolls will cost $3.60

Step-by-step explanation:

unit rate is $0.60 per roll and you multiply that by 6

julia-pushkina [17]2 years ago

3 0

Answer:

$28.80

Step-by-step explanation:

4.80 x 6 = 28.8

Hope this helped!

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Show that in a group of five people (where any two people are either friends or enemies), there are not necessarily three mutual

sveta [45]

Answer:

Lets call the people A,B,C,D and E. We need to find an example where there are not 3 mutual friends and not three mutual enemies.

Lets start by assuming that A has 2 friends, B and C, and 2 enemies, D and E.

Since we want A,B and C not to be mutually friends, then B and C neccesarily have to be enemies.

Now, since B and C are enemies, they cant be enemies at the same time with D, and they also cant be enemies at the same time with E. Therefore one of them has to be friends with D and one has to be friends with E.

Also, since D and E are enemies with A, they neccesarily need to be friends.

From the fact that D and E are friends, we coclude that they cant have a friend in common, as a consequence, B has to be friends with one of D and E and C has to be friend with the other. We can assume that B is friend with D and C is friend with E. If we use that, we have the following friendship configuration

---------------------

Friends of A: B, C

Enemies of A: D,E

-------------------------

Friends of B: A,D

Enemies of B: C, E

------------------------

Friends of C: A,E

Enemies of C: B,D

------------------------

Friends of D: B,E

Enemies of D: A,C

----------------------------

Friends of E: C,D

Enemies of E: A,B

--------------------------

As you can check, there is not three mutual friends nor three mutual enemies.

8 0

2 years ago

There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different su

Lelechka [254]

Answer:

1980

We can choose 2 men from 9 in 36 in ways.

We can choose 2 women from 11 in 55 ways.

For any arrangement of 2 men there are 55 ways of combining them with 2 women => 55 * 36 = 1980 total ways.

If you're wondering how i got the numbers i used the combination formula:

C(n, k) = $\frac{n!}{k!(n-k)!}$

3 0

2 years ago

Raju covers a certain distance in 1 hour and sham covers the same distance in 2 hours , who travels in a higher speed?

dimulka [17.4K]

Answer: Raju travels at a higher speed.

Step-by-step explanation:

$Speed =\dfrac{Distance}{Time}$

Speed inversely proportional to time.

As time taken to cover a particular distance decreases the speed will increase.

Raju covers a certain distance in 1 hour.

Sham covers the same distance in 2 hours.

1< 2

Thus Raju travels at a higher speed.

5 0

2 years ago

81% of___ is 405<br> Pls help

motikmotik

Of means multiplication and Is means equals. So 0.81x =405
X = 500

3 0

3 years ago

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if m is the least prime number and n is the least positive integer multiple of 12, what is the difference between n and m

ElenaW [278]

Answer:

Step-by-step explanation:

m = least prime number = 2

n = least positive integer multiple of 12 = 12

n - m = 12 - 2 = 10

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2 years ago

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