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hjlf
3 years ago
15

It takes a new mail carrier 4 hours to deliver the mail on route a. It takes an experienced mail carrier 3 hours to do the same

job. How long would it take if they worked together?
Mathematics
1 answer:
Pani-rosa [81]3 years ago
4 0

Answer: \frac{12}{7}\ \text{hours}

Step-by-step explanation:

Given

New mail carrier takes 4 hours for delivery i.e.

New mail carrier completes \frac{1}{4} part of work in 1 hour

Old mail carrier takes 3 hours for delivery  i.e.

mail carrier completes \frac{1}{3}  part of work in 1 hour

If they work together, they complete the work in x hours i.e.

\Rightarrow \dfrac{1}{x}=\dfrac{1}{4}+\dfrac{1}{3}\\\Rightarrow \dfrac{1}{x}=\dfrac{3+4}{12}\\\Rightarrow x=\dfrac{12}{7}\ \text{hours}

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What is an equation of the line that passes through the points (0, 2) and ( 5, 4)?
creativ13 [48]

Answer: y = 2/5 x + 2

Step-by-step explanation:

why not do this one too yk

slope = y2 - y1 / x2 - x1

4 - 2 / 5 - 0

slope = 2/5

ill use (5,4) for the y=mx+b initial equation

y = mx+b

4 = (2/5)(5) +b

4 = 2 + b

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y = 2/5 x + 2

7 0
3 years ago
The newly elected president needs to decide the remaining 7 spots available in the cabinet he/she is appointing. If there are 13
Alexxx [7]

Answer: 8648640 ways

Step-by-step explanation:

Number of positions = 7

Number of eligible candidates = 13

This can be done by solving the question using the combination Formula for selection in which we use the combination formula to choose 7 candidates amomg the possible 13.

The combination Formula is denoted as:

nCr = n! / (n-r)! * r!

Where n = total number of possible options.

r = number of options to be selected.

Hence, selecting 7 candidates from 13 becomes:

13C7 = 13! / (13-7)! * 7!

13C7 = 1716.

Considering the order they can come in, they can come in 7! Orders. We multiply this order by the earlier answer we calculated. This give: 1716 * 7! = 8648640

8 0
3 years ago
I need help as soon as possible someone please help
Zigmanuir [339]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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Write a complete program thatdeclares an integer variable,reads a value from the keyboard into that variable, andwrites to stand
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#include

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4 0
3 years ago
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3 years ago
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