Find the equation of this line

Working together, it takes 2 computers 12 minutes to send out emails. If it takes the slower 30 minutes to the job on its own, h

artcher [175]

Answer:

The faster computer can do the job in 20 mins on it own.

Step-by-step explanation:

Given:

Time taken by slower computer to do job on its own =30 minutes.

Time taken by both the computers to do the job = 12 mins.

We need to find the Time taken by faster computer to do job on its own.

Solution:

Let the the Time taken by faster computer to do job on its own be 'x'.

Now we know that;

Rate to complete the job is equal to number of jobs divided by time taken to complete the job.

Rate of faster computer = $\frac1x$

Rate of slower computer = $\frac{1}{30}$

Rate of both the computers = $\frac{1}{12}$

Now we can say that;

Rate of both the computers is equal to sum of Rate of faster computer and Rate of slower computer.

framing in equation form we get;

$\frac{1}{12}=\frac{1}{30}+\frac{1}{x}\\\\\frac{1}{x} = \frac{1}{12}-\frac{1}{30}$

Now we will take the LCM to make the denominator common we get;

$\frac{1}{x}=\frac{5}{12\times5}-\frac{2}{30\times2}\\\\\frac1x=\frac{5}{60}-\frac{2}{60}$

Now denominator are same so we will solve the numerator.

$\frac1x=\frac{5-2}{60}\\\\\frac1x=\frac{3}{60}\\\\\frac1x=\frac{1}{20}\\\\x=20\ mins$

Hence The faster computer can do the job in 20 mins on it own.

4 0

3 years ago

Each day, a restaurant chain bakes 6,777 more key lime pies than coconut cream pies. If

galben [10]

Answer:

12,132

Step-by-step explanation:

It says a restaurant chain bakes 6,777 more key lime pies that cocunut cream pies. This means regardless of the amount of cream pies, the restaurant chain bakes 6,777 more.

So....

5,355+6,777 = 12,132

4 0

3 years ago

4.) You have saved $2000 for college and are saving at the rate of $250 per month. Assume

Veseljchak [2.6K]

Answer: 5,000

Step-by-step explanation: 2,000 saved 250 per month so 250 times

7 0

3 years ago

Suppose we want to choose 5 colors, without replacement, from 8 distinct colors.1. If the order is relevant, how many can be don

Charra [1.4K]

(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.

The formula is given as;

$nP_r=\frac{n!}{(n-r)!}$

This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.

Therefore, we would have;

$\begin{gathered} nP_r\Rightarrow_8P_5 \\ _8P_5=\frac{8!}{(8-5)!}\Rightarrow\frac{8!}{3!} \\ _8P_5=\frac{8\times7\times6\times\ldots1}{3\times2\times1}\Rightarrow\frac{40320}{6} \\ _8P_5=6720 \end{gathered}$

Therefore, if the order is relevant, this selection can be done in 6,720 ways.

(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;

$_nC_r=\frac{n!}{(n-r)!r!}$

The formula can now be applied as follows;

$\begin{gathered} _nC_r\Rightarrow_8C_5 \\ _8C_5=\frac{8!}{(8-5)!\times5!} \\ _8C_5=\frac{8!}{3!\times5!}\Rightarrow\frac{8\times7\times6\times\ldots1}{(3\times2\times1)\times(5\times4\times\ldots1)} \\ _8C_5=\frac{40320}{6\times120} \\ _8C_5=56 \end{gathered}$

If the order is not relevant, then the selection can be done in 56 ways.

3 0

10 months ago

To change knots per hour, use the expression 1.15k, where k is the speed in in knots per hour. A plane is flying at 300 knots pe

Free_Kalibri [48]

1.15(300).
Substitute k for 300, since the plane is flying 300 knots per hour, and k=knots per hour.

1.15(300)=345 miles per hour
After multiplying, 300 by 1.15, you get 345 miles per hour. This is the speed of the plane from Knots to MPH (Miles Per Hour).

8 0

2 years ago

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