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3 years ago

14

At the Italian deli, the sandwich maker cut 4 2/3 lb of turkey and 9 3/5 of roast beef. How many more pounds of roast beef were

cut?

1 answer:

kherson [118]3 years ago

4 0

Answer:

4 14/15 more pounds of roast beef

Step-by-step explanation:

subtract 4 2/3 from 9 3/5

9 3/5 - 4 2/3= 4 14/15

So your answer is 4 14/15

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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

What is the answer to this----->7/8-5/6

dlinn [17]

<span>7/8-5/6
Multiply until both fractions have the same common denominator.
21/24 - 20/24
Subtract the numerators but NOT the denominators.
Final Answer: 1/24</span>

3 0

3 years ago

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Considering the expression x/2 + y2. Which statements are true?Mark all that apply.

Svet_ta [14]

Answer:

D. 8/2 +(-10)² = 104

Step-by-step explanation:

To find which statements are true, evaluate the expression for the given variable values. You do this by putting the numbers in place of the respective variables, then doing the arithmetic.

The respective expression values are ...

A 83 ≠ 37 . . . . (4/2) +9² = 2 +81 = 83

B 31 ≠ 61

C 52 ≠ 61

D 104 =104 . . . . true statement

__

I find it less tedious to write a function into a calculator or spreadsheet and let it do the repetitive math. Examples of the calculation are shown above.

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3 years ago

Which coupon will save Estelle more money on a microwave originally priced at $245.80?

gavmur [86]

Answer: lemme solve it ty

Step-by-step explanation:

hi

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3 years ago

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Lunna [17]

Answer:

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Step-by-step explanation:

Pls give Brainliest

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3 years ago