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quester [9]
3 years ago
6

What is 27/54 equivalent to

Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0
27/54 is equivalent to, assuming you want to simplify

27/54=1/2  
 
you divide top and bottom of the fraction by 27

because 27*2=54 
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In a box there are six envelopes each containing two cards. Three of the envelopes contain two red cards, two of them contain a
Sphinxa [80]

Answer:

\frac{2}{5}

Step-by-step explanation:

3 envelopes having 2 red card

2 envelopes having 1 red card and 1 black card

1 envelope having 2 black cards

We are given that . An envelope is selected at random and a card is withdrawn and found to be red.

So, No. of ways of envelope having red card = 3+2 = 5

No. of required ways of envelope having 1 red card and 1 black card = 2

So, probability of getting an envelope having 1 red card and 1 black card = \frac{2}{5}

Hence The chance the other card is black is \frac{2}{5}

5 0
3 years ago
Use induction to prove: For every integer n > 1, the number n5 - n is a multiple of 5.
nignag [31]

Answer:

we need to prove : for every integer n>1, the number n^{5}-n is a multiple of 5.

1) check divisibility for n=1, f(1)=(1)^{5}-1=0  (divisible)

2) Assume that f(k) is divisible by 5, f(k)=(k)^{5}-k

3) Induction,

f(k+1)=(k+1)^{5}-(k+1)

=(k^{5}+5k^{4}+10k^{3}+10k^{2}+5k+1)-k-1

=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k

Now, f(k+1)-f(k)

f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-(k^{5}-k)

f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-k^{5}+k

f(k+1)-f(k)=5k^{4}+10k^{3}+10k^{2}+5k

Take out the common factor,

f(k+1)-f(k)=5(k^{4}+2k^{3}+2k^{2}+k)      (divisible by 5)

add both the sides by f(k)

f(k+1)=f(k)+5(k^{4}+2k^{3}+2k^{2}+k)

We have proved that difference between f(k+1) and f(k) is divisible by 5.

so, our assumption in step 2 is correct.

Since f(k) is divisible by 5, then f(k+1) must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.

Therefore, for every integer n>1, the number n^{5}-n is a multiple of 5.

3 0
3 years ago
Can I please have help on 3, 4 will mark brainiest thank you.
777dan777 [17]

Answer:

4) Alternate angles

Step-by-step explanation:

Alternate angles are on the opposite corners of the line of the angle, and 10 and 14 are on opposite corners, so that makes them alternate angles. I hope this helped you!

7 0
2 years ago
What three fractions are greater than -5/7
Rama09 [41]
1/2 ,2/3,1/3 hear are greater than -5/7
6 0
3 years ago
Read 2 more answers
I could use a helping hand here! thank you x
N76 [4]
It would be f(t)= 25^t+1
If you plugged in '2' as 't',
25^2+1= 15, 625 which uses the second day of the bacteria.
8 0
2 years ago
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