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3 years ago

7

A local middle school has 99 computers and 333 students. What is the number of students per computer at the school? Write your a

nswer as both a rational number in simplest form and a decimal

1 answer:

IrinaVladis [17]3 years ago

4 0

Answer:

24/25 in simplest form and 3.36363636364 as a decimal

Step-by-step explanation:

You might be interested in

What is 6n-2 when n=3

disa [49]

Answer:

16

Step-by-step explanation:

6n is 6 times 3 if n is 3. 6 times 3 is 18. Minus 2 is 16.

Hope this helps! If it does, please mark me brainliest. Thank you! ;)

4 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

A bill to landscape your yard is $720. The Materials cost $375 and the labor is $34.50 per hour. Write and solve an equation to

Igoryamba

Answer:

Hey what'sup?

You need to dig a little in, for what it's actually meaning

Here the total is 720 right?

Which came from the materials and the labors work in hourly basis

So it's like

Cost of the material + no of hours = bill

We don't know what the no of hours are, so let's assume it as 'x'

Hence the required equation is

375+35*x=720

35*x = 720-375

35*x = 345

Therefore x=345/35 =9.8

Therefore they worked for 9.8 hours or approximately 10 hours

Peace out

8 0

3 years ago

Find the points<br> that go in<br> between (-4,7)<br> and (6,5)

Marina CMI [18]

The point in between is (1,2)

7 0

3 years ago

Solve the inequality.<br> 140 < -20j

klemol [59]

Answer:

J < -7

Explantion:

Rewrite so J is on the left side

-20j > 140

Divide each term by -20 and simplify

j < -7

8 0

2 years ago