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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}

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A segment has an endpoint at (1,−2). The midpoint is at (−4,−2). What are the coordinates of the other endpoint?
vodka [1.7K]

Answer:

The other midpoint is located at coordinates (-9,-2) (Second option)

Step-by-step explanation:

<u>Midpoints</u>

If P(a,b) and Q(c,d) are points in \mathbb{R} ^2, the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by

\displaystyle x_m=\frac{a+c}{2}

\displaystyle y_m=\frac{b+d}{2}

We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.

The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:

x (other endpoint)= - 4 - 5 = - 9

So the other midpoint is located at (-9,-2) (Second option)

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3 years ago
Express tan D as a fraction in simplest form
Zinaida [17]
0 it has no simplest form
4 0
2 years ago
Jasmine has $4.90 in quarters, dimes, nickels, and pennies. She has 2 more dimes than quarters. She has 3 more nickels than quar
Ray Of Light [21]

Answer:

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Step-by-step explanation:

8 0
3 years ago
The probability that a house in an urban area will develop a leak is 55​%. if 2020 houses are randomly​ selected, what is the pr
k0ka [10]
<span>The probability that a house in an urban area will develop a leak is 55​%. if 20 houses are randomly​ selected, what is the probability that none of the houses will develop a​ leak? round to the nearest thousandth.

Use binomial distribution, since probability of developing a leak,  p=0.55 is assumed constant, and
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and assuming leaks are developed independently between houses,
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=1*1*0.45^20
=1.159*10^(-7)
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</span>
7 0
3 years ago
Does this table represent a function? why or why not? x: 2 3 3 4 5 y: 1 4 3 2 5
gayaneshka [121]
Let's put the chart into ordered pairs:
(x, y)
(2,1)
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(4,2)
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The answer options may be mis-written. 
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7 0
3 years ago
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