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irga5000 [103]
3 years ago
14

Provide a counterexample to the following statement: division of whole numbers is commutative

Mathematics
1 answer:
Yuri [45]3 years ago
5 0

Answer:

Division is not commutative because 25÷5 does not equal 5÷25

Step-by-step explanation:


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PLEASE HELP ASAP
neonofarm [45]

Answer:

9 Quarters

8 Dimes

3 Nickels

Step-by-step explanation:

We let the number of quarters be q

number of dimes be d

and

number of nickels be n

Since quarters are worth 0.25, dimes are worth 0.10 and nickels are worth 0.05 and total worth is 3.20, we can write an equation as:

0.25q + 0.10d + 0.05n = 3.20

Next,

3 times as many quarters as Nickels, we can write:

q = 3n

and

5 more dimes than nickel, we can write:

d = n + 5

Substituting these last 2 equations in the first and solving for n gives us:

0.25q + 0.10d + 0.05n = 3.20

0.25(3n) + 0.10(n+5) + 0.05n = 3.20

0.75n + 0.10n +0.5 + 0.05n = 3.20

0.9n = 2.70

n = 2.70/0.9 = 3

n = 3

We know q = 3n, so

q = 3(3) = 9

Also, we know d = n + 5, which means:

d = 3 + 5 = 8

Thus,

There are:

9 Quarters

8 Dimes

3 Nickels

5 0
4 years ago
Chris made $184 for 8 hours of work. At the same rate, how much would he make for 13 hours of work?
pashok25 [27]

Answer:

$299

Step-by-step explanation:

Make a proportion

He makes $184 for 8 hours of work, and $x for 13 hours of work

184/8=x/13

To solve, we need to get x by itself. To do this, multiply both sides by 13. We multiply because x is being divide by 13, and we want to do the opposite.

13(184/8)=(x/13)13

The 13s on the right will cancel, leaving us with

13(23)=x

299=x

So, he will earn $299 for 13 hours of work.

4 0
3 years ago
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