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leonid [27]
2 years ago
7

A receptionist can type documents 4 times as fast as her assistant. Working together, they can type up a day's worth of document

s in 3
hours. On a day that the assistant is absent from work, find the number of hours, n. that it will take the receptionist to type up the day's
documents on her own.
Mathematics
1 answer:
lora16 [44]2 years ago
7 0

Answer:

3.75 hours

Step-by-step explanation:

The receptionist takes n hours to do 1 day's worth of work.

The assistant takes 4n hours to the 1 day's worth of work.

In 1 hour, the receptionist does 1/n amount of work.

In 1 hour, the assistant does 1/(4n) amount of work.

Working together, in 1 hour, they do this amount of work:

1/n + 1/(4n)

Working together, the 2 workers do the job in 3 hours.

Working together, in 1 hour, they do this amount of work:

1/3

1/n + 1/(4n) = 1/3

Multiply both sides of the equation by the LCD, 12n.

12 + 3 = 4n

4n = 15

n = 15/4

n = 3.75

Answer: 3.75 hours

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Amy is planning the seating arrangement for her wedding reception. Each round table can sit 12 guests. The head table can sit th
storchak [24]

Answer:

23 tables.

Step-by-step explanation:

282- 8 = 274     274 divided by 12 = 22.8  round to the nearest whole number which is 23.

7 0
3 years ago
Find the surface are of the cylinder in terms of pi
Andrej [43]
Hello!

To find the surface area of a cylinder you use the equation

SA = 2 \pi rh + 2 \pi  r^{2}

SA is surface area
r is radius
h is height

PUt in the values you know

SA = 2 \pi (7)(18) + 2 \pi  * 7^{2}

Square the number

SA = 2 \pi (7)(18) + 2 \pi * 49

Multiply 7 and 18

SA = 2 \pi * 126 + 2 \pi  * 49

Multiply 126 by 2

SA = 252 \pi  + 2 \pi  * 49

Multiply the 49 by 2

SA = 252 \pi  + 98 \pi

Add

SA = 350 \pi

The answer is A)350 \pi cm^{2}

Hope this helps!
7 0
3 years ago
Can someone help me?
Whitepunk [10]

Answer:

Purple -3 is the answer

Step-by-step explanation:

We start by opening the bracket

That would be;

x-x-3

= 0-3 = -3

So selecting the correct option, we can see that our answer is purple

5 0
2 years ago
suppose Q is the midpoint of PR. use the information to find the missing value. PQ equals 3x + 14 and QR equals 7X - 10; find X.
NARA [144]

Answer:

x=6

Step-by-step explanation:

A midpoint is the middle point of a line segment, therefore it is equal distances from both ends of the segment.

This means that PQ and QR have the same length. So all we have to do is set each value equal to each other, and then solve for X.

3x+14=7x-10\\3x+24=7x\\24-4x\\x=6

4 0
3 years ago
Read 2 more answers
What is the ratio a:b if 8a=3b?
Digiron [165]

The ratio a:b is 3:8

Step-by-step explanation:

In simple words, the ratio a:b means the fraction a/b.

So we will have to solve the given equation for a/b

Given

8a=3b

Dividing both sides by 8

\frac{8a}{8}=\frac{3b}{8}\\a=\frac{3b}{8}

Dividing both sides by b

\frac{a}{b}=\frac{3b}{8*b}\\\frac{a}{b} =\frac{3}{8}

The ratio a:b is 3:8

Keywords: Ratios, Fractions

Learn more about ratios at:

  • brainly.com/question/4694425
  • brainly.com/question/4695279

#LearnwithBrainly

5 0
3 years ago
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