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Sergio039 [100]
3 years ago
9

Evaluate 2/3 + 11/100​

Mathematics
2 answers:
Likurg_2 [28]3 years ago
8 0
.7766 approximately
Lana71 [14]3 years ago
5 0

Answer:

Step-by-step explanation:

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A realtor sold a house for $75,000 and earned a commission of $4500. Which proportion could be used to find the amount of commis
vovikov84 [41]
I think the answer you choose is correct
6 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
Rounding 4540 and 1964 to the nearest hundred
alexandr1967 [171]

Answer:

They are all ready rounded to the nearest Hundred ??

Step-by-step explanation:

They are already

8 0
3 years ago
Read 2 more answers
What is the andwer???
djverab [1.8K]

Answer:

3 and 11

Step-by-step explanation:

Given 2 sides with third side x , then

difference of 2 sides < x < sum of 2 sides , that is

7 - 4 < x < 7 + 4

3 < x < 11

Thus the possible values the third side cannot be are 3 and 11

4 0
3 years ago
Jasmin has 50 marbles in a bag.20% of the marbles are blue.How many marbles are blue
Minchanka [31]
20% of 100 is 20. divide that by 2 to get 20% of 50. 20/2 is 10. 20% of 50 is 10. There are 10 blue marbles.

Hope it helped :)
Ali
6 0
3 years ago
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