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Annette [7]
2 years ago
13

A clerical worker takes 4 times as long to finish a job as it does an executive secretary. Working together, it takes them 4 hr

to finish the job. How long
the clerical worker, working alone, to finish the job?

Mathematics
1 answer:
aleksandrvk [35]2 years ago
8 0

Answer:

\frac{5}{16} hours or 18\frac{3}{4} minutes

Step-by-step explanation:

\frac{1}{x} +\frac{1}{4x}= 4\\\\\frac{4}{4x}+\frac{1}{4x}   =4\\\\\frac{5}{4x} =4\\\\5=16x\\\\x=\frac{5}{16}

Calculating into minutes.

60*\frac{5}{16}=\\\\\frac{300}{16}  =\\\\18\frac{3}{4}

You might be interested in
7/5 + 3/8 =what /40 + what/40 = ?/?
VARVARA [1.3K]

Answer:

71/40

Step-by-step explanation:

7/5*8/8=56/40+3/8*5/5= 15/40 so 15/40+56/40=71/40

6 0
4 years ago
Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 blanket per d
Sauron [17]

Answer:

Since Darcie wants to crochet a minimum of 3 blankets and she crochets at a rate of 1/5 blanket per day, we can determine how many days she will need to crochet a minimum of 3 blankets following the next steps:

- Finding the number of days needed to crochet one (1) blanket:

\begin{gathered}1=\frac{1}{5}Crochet(Day)\\Crochet(Day)=5*1=5\end{gathered}

1=

5

1

Crochet(Day)

Crochet(Day)=5∗1=5

So, she can crochet 1 blanket every 5 days.

- Finding the number of days needed to crochet three (3) blankets:

If she needs 5 days to crochet 1 blanket, to crochet 3 blankets she will need 15 days because:

\begin{gathered}DaysNeeded=\frac{NumberOfBlankets}{Rate}\\\\DaysNeeded=\frac{3}{\frac{1}{5}}=3*5=15\end{gathered}

DaysNeeded=

Rate

NumberOfBlankets

DaysNeeded=

5

1

3

=3∗5=15

- Writing the inequality

If she has 60 days to crochet a minimum of 3 blankets but she can complete it in 15 days, she can skip crocheting 45 days because:

AvailableDays=60-RequiredDaysAvailableDays=60−RequiredDays

AvailableDays=60-15=45DaysAvailableDays=60−15=45Days

So, the inequality will be:

s\leq 45s≤45

The inequality means that she can skip crocheting a maximum of 45 days since she needs 15 days to crochet a minimum of 3 blankets.

Have a nice day!

3 0
3 years ago
Solve the equation when x=12 1/3<br> Please show your work <br> 7x+8(x+1/4)=3(6x-9)-8
alina1380 [7]
7(12  1/3) + 8(12 1/3 + 1/4) = 3(6(12 1/3) - 9) - 8

12 1/3 = 12.33
1/4 = 0.25

7(12.33) + 8(12.33 + 0.25) = 3(6(12.33) - 9) - 8
86.31 + 8(12.58) = 3(73.98 - 9) - 8
86.31 + 100.64 =  3(64.98) - 8
186.95 = 186.94 - 8
186.95 ≠ 178.94

False. The x, when 12 1/3 does not work inside this equation

hope this helps

5 0
3 years ago
The mean salary of people living in a certain city is $37500 with a standard deviation of $1561. a sample of 33 people is select
Murrr4er [49]
The probability is 0.9671.

The z-score for this is given by

z = (x - μ)/(σ/√n)
z = (38000-37500)/(1561/(√33)) = 1.84.

Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of, less than, this is 0.9671.
8 0
3 years ago
What is the value of k if 7k" minutes past nine" is the same as 8k" minutes to ten"?
schepotkina [342]

Answer:

4 minutes

Step-by-step explanation:

The value of 7k "minutes past nine" is the same as 8k" minutes to ten".

Since there are 60 minutes in an hour and 9 and 10 fall in between the same hour, this means that:

7k = 60 - 8k

7k + 8k = 60

15k = 60

k = 60 / 15

k = 4 minutes

5 0
3 years ago
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