All categories

3 years ago

If a divides c and that b divides c. Prove ab divides c

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

7 0

If a divides c,

then 'a' is a factor of 'c'.

Also,

If 'b' divides c,

then 'b' is also a factor of 'c'

therefore,

'a' and 'b' are factors of 'c'

Hence, a and b divides 'c'

so, c = a*b

and ab will also divide c.

Hence, proved.

You might be interested in

The Mason High Cougars need to win 3 out of the next 12 baseball games to make it to

natta225 [31]

Answer:

The percent for 3 out of 12 is 25%

If the total number of games was 100, the win amount would need to be 25.

Step-by-step explanation:

3 out of 12 is a fraction - 3/12

3/12 = 0.25 which means 25% because 0.25 is 25% of 1.

Using the same percentage for 100 total games, you just multiply 100 by 0.25, the decimal version of the percentage.

3 0

3 years ago

Christine went shopping and bought each of her eighteight nephews a gift, either a video costing $14.95 or a CD costing $16.8

pogonyaev

So I think you should set up an equation like this: 14.95x+16.88y=131.18 , x+y=8

so x=8-y, plug this into the original equation:
14.95(8-y)+16.88y=131.18
Evaluate: 119.60-14.95y+16.88y=131.18
Combine like terms: 119.60+1.93y=131.18
Subtract 119.60 from both sides. You get: 1.93y=11.58
Divide both sides by 1.93. You get y=6

Plug into second equation: x+y=8 ---> x+6=8 and solve for x. x=2

Christine bought 2 video games and 6 CDs. 14.95(2)+16.88(6)=131.18

4 0

3 years ago

Your parents purchase a computer for $1,257.00 plus 6% sales tax. They decide to finance it through the store’s 0% program for 6

Katena32 [7]

Answer:

$111.59

Step-by-step explanation:

The total amount of the purchase was the cost of the computer plus the sales tax:

$1,257*1,06= $1,332.42

Now, to determine the interest that they will have to pay, you have to consider that the interest rate is 16,75% APR that is the annual percentage rate but as only 6 month have passed, the interest rate at this point that they have to pay is 8.375%:

$1,332.42*8.375%= $111.59

The interest that they will be charged is $111.59

5 0

3 years ago

Mrs. Larson made 12 pillows from 16 yards of the same fabric how much fabric was used to make each pillow between what two whole

borishaifa [10]

Answer:The answer is given by :

[ The amount of material ] / [The number of pillows made ] = 16 / 12 = 4 /3 = ( 1 + 1/3 ) yds per pillow

So the answer lies between the integers 1 and 2

Step-by-step explanation:

5 0

3 years ago

Cooper's USB drive is 1··2full with 5 video files. Each video file is the same size. What fraction of the USB drive does 1 video

lidiya [134]

Answer:

the fraction of the USB drive when one video file use is 10%

Step-by-step explanation:

The computation of the fraction of the USB drive when one video file use is given below:

= USB drive × number of video file ÷ number of video file

= half × 1 ÷ 5

= 0.5 × 1 ÷ 5

= 0.10

= 10%

Hence, the fraction of the USB drive when one video file use is 10%

6 0

2 years ago