All categories

3 years ago

If Kevin makes c toys in m minutes, how many toys can he make per hour?

Mathematics

1 answer:

mojhsa [17]3 years ago

8 0

Answer:

The number of toys that Kevin can make per hour is equal to $60\frac{c}{m}\ toys$

Step-by-step explanation:

we know that

Kevin makes c toys in m minutes

Remember that

1 hour=60 minutes

Using proportion find out how many toys can be make in 60 minutes (one hour)

Let

x -----> the number of toys that Kevin can make per hour

$\frac{c}{m}=\frac{x}{60}\\ \\x=60\frac{c}{m}\ toys$

therefore

The number of toys that Kevin can make per hour is equal to $60\frac{c}{m}\ toys$

You might be interested in

PLS HELP Hannah and Brooklyn are two of the partners in a business. Hannah makes $3 in profit for every $4 that Brooklyn makes.

Dennis_Churaev [7]

Answer:

77$

Step-by-step explanation:

5 0

2 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

Please help now with homework

damaskus [11]

The correct answer is 1.25 dollars per pound. You can check it by multiplying it with 4.16

5 0

3 years ago

What does X equal? 14x+24=18x-32

exis [7]

Answer:

x =14

Step-by-step explanation:

14x+24=18x-32

Subtract 14x from each side

14x-14x+24=18x-14x-32

24 = 4x -32

Add 32 from each side

24+32=4x-32+32

56 = 4x

Divide each side by 4

56/4 = 4x/4

14=x

3 0

3 years ago

Read 2 more answers

What is minimal completion time for the activities in the graph below? In a complete sentence, explain how you got your answer

kupik [55]

The minimal completion time for the activities is the shortest possible time for all the activities to be finished. In doing this, we look at the path that would require the greatest amount of time. At the START node, we choose the path that would take the longest which is 7 days leading to ACTIVITY D. Next, we choose the path leading to ACTIVITY B which takes 5 days. Then, we move to ACTIVITY C taking 5 days and finally, reach the END which would take 6 days. So, the minimal completion time is:
7 + 5 + 5 + 6 = 23 days

6 0

3 years ago