1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
What is the surface area of the triangular prism?<br> In square feet
vampirchik [111]

Answer:

The surface of the triangular prism is 12 ft

Step-by-step explanation:

To find the surface area you have to multiply the base and the height and divide the product by 2

6 ft= base

4 ft= height

6 x 4 = 24

24 divided by 2 = 12

6 0
3 years ago
Read 2 more answers
It is exponent laws,can you go step by step plz because I don't get it
Evgen [1.6K]
Remember
(x^m)^n=x^(mn)
and
(x^m)(x^n)=x^(m+n)
and
(x^m)/(x^n)=x^(m-n)

so

(4^2)^3=4^(2*3)=4^6
notice
4^6=(2^2)^6=2^2*6)=2^12

(4/2)^3=2^3

on top we have
(2^12)(2^3)(2^3)=2^(12+3+3)=2^18

on bottom
8^3
conver to base 2
(2^3)^3=2^(3*3)=2^9

now we have
(2^18)/(2^9)=2^(18-9)=2^9
6 0
3 years ago
The table of values below represents a linear function and shows Marco’s progress as he is pumping gas into his car. What is the
german

Answer:

3 gallons

Step-by-step explanation:

Given

Seconds Spent ----- Gallons of Gas

0 ---------------------------- 3

12 -------------------------- 5

24 ------------------------- 7

36 ------------------------- 9

48 ------------------------ 11

Required

Determine the output of the initial value

From the given parameters, we have that:

Gallon of gas is a function of time spent

This means:

The input is the time spent while the output is the gallon of gas

From the table above,

Initial Value = 0 seconds

The corresponding output of this is 3 gallons

Hence;

<em>Option C answers the question.</em>

5 0
3 years ago
Read 2 more answers
URGENT! WILL GIVE BRAINLIEST!!
IgorC [24]

Answer:

Option C) a_{n}=m-b+m(n-1) for n={\{1,2,3,...}\} is not the correct way to define the given infinite sequence

{\{m+b,2m+b,3m+b,4m+b,...}\}

Step-by-step explanation:

Given infinite sequence is {\{m+b,2m+b,3m+b,4m+b,...}\}

Option B) a_{n}=m-b+m(n-1) for n={\{1,2,3,...}\} is not the correct way to define the given infinite sequence {\{m+b,2m+b,3m+b,4m+b,...}\}

Now verify  a_{n}=m-b+m(n-1) for n={\{1,2,3,...}\} is true for the given infinite sequence

That is put n=1,2,3,.. in the above function

a_{n}=m-b+m(n-1)

When n=1,  a_{1}=m-b+m(1-1)

=m-b+0

a_{1}=m-b\neq m+b

When n=2,  a_{2}=m-b+m(2-1)

=m-b+m

a_{2}=2m-b\neq 2m+b

When n=3,  a_{3}=m-b+m(3-1)

=m-b+2m

a_{3}=3m-b\neq 3m+b

and so on.

Therfore a_{n}=m-b+m(n-1) for n={\{1,2,3,...}\} is not the correct way to define the given infinite sequence

{\{m+b,2m+b,3m+b,4m+b,...}\}

Therefore option C) is correct

5 0
3 years ago
On the maturity date of a $10,800, 6-month, 8% note, the borrower sends a check that includes the principal and all of the inter
Reika [66]

Answer: $ 11,232.00

Step-by-step explanation:

Given:  Amount = $ 10,800

Interest Rate = 8%   =0.08

Time in Months= 6.00

Formula :

Interest on Note = (Amount)× (Interest Rate) × ((Time in Months) /12)

= (10800)× (0.08)× (6/12)

= $432

The amount of the borrower's check =(Amount + Interest on Note)

= $ (10,800+432)

= $ 11,232.00

Hence, The amount of the borrower's check = $ 11,232.00

8 0
3 years ago
Other questions:
  • Attached is a screenshot of another problem I am having issues with. please please please help me
    10·1 answer
  • Find the area of this isosceles trapezoid.
    9·2 answers
  • A worker is paid $9.80 per hour, with time and a half for any hours over 40 per week. If he works 44 hours in a week, what will
    11·1 answer
  • What transformations are used to get G’ , H’ , I’.
    9·2 answers
  • What is the answer really need it my moms checking it when she gets back
    10·1 answer
  • Find the slope from an equation ??? Y = -x
    9·1 answer
  • Help! It says ski members are preparing identical welcome kits for new skiers. The ski club has 60 hand warmer packets and 48 fo
    12·1 answer
  • I need help with solving please! thank you!
    6·2 answers
  • Levi decides to examine the effect of fertilizer on the growth of tomato plants. He chooses four plants for his experiment and a
    8·2 answers
  • Pls tell I will mark u brainliest…please://
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!