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
Zigmanuir [339]
3 years ago
5

A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in

36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?A. 3B. 4C. 6D. 9E. 12
Mathematics
1 answer:
kozerog [31]3 years ago
8 0

Answer: C.  6

Step-by-step explanation:

Given : Time taken by Machine R to do the job = 36 hours

Time taken by Machine S to do the job = 18 hours

Let x be the number of each type of machine to do the job.

Then , according to the question the required equation will be :-

\dfrac{x}{36}+\dfrac{x}{18}=\dfrac{1}{2}\\\\\Rightarrow\ x(\dfrac{1}{36}+\dfrac{1}{18})=\dfrac{1}{2}\\\\\Rightarrow\ \dfrac{x}{12}=\dfrac{1}{2}\\\\\Rightarrow\ x=\dfrac{12}{2}=6

Hence, the number of machines of type R were used =6

You might be interested in
I need you to help me solve this
Svet_ta [14]
For the expression to be factor-able the Discriminant  , has to be greater or equal to zero
ax^2 + cx + b = 0


c^2 - 4 ab >= 0 

(-3)^2 - 4 * 1 * b >= 0

9 - 4b >= 0

9 >= 4b

b <= 9/4  (2.25)

Pick any value in that range for ex:

0 , 2,  -3, -6

7 0
3 years ago
The graphs below have the same shape. What is the equation of the blue graph?
mario62 [17]

Answer:

c) G(x) = (x + 1)**2

Step-by-step explanation:

A function left shift is x + shift and a right shift is x - shift.

5 0
2 years ago
Simplify. -10m+2m^4-13m-20m^4
Ulleksa [173]
First one:

you can add -10m and -13m but you can't add -10m and 2m^4 becuase the powers aren't the same so

when adding the like terms
look at the:
powers, (x^3 adds with x^3)
placehloder letter (x adds with x and y adds with y and so on)

-10m+2m^4-13m-20m^4
powers: m^1 and M^4
placeholders: all m


add
-10m-13m+2m^4-20m^4
-23m-18m^4




second one:
when multiplying exponents, you add with like
so if you multipliy
x^2yz^3 times x^4y^2z^2 thne you would get x^6y^3z^5
when multiply with coeficients
2x^2yz^3 times 4x^4y^2z^2=8x^6y^3z^5
so using associative property a(bc)=(ab)c
2/3 times p^4 times y^3 times y^4 times s^5 times 6 times p^2 times s^3
group like terms

(2/3 times 6) times (p^4 times p^2) times (y^3 times y^4) times (s^5 times s^3)
(4) times (p^6) times (y^7) times (s^8)
4p^6y^7s^8

8 0
3 years ago
I don't know who needs to hear this but I wanted to hopefully reach out to someone.
lora16 [44]

Answer:

oh my- this actually made me happy-

Step-by-step explanation:

8 0
3 years ago
Recipe calls for 2 1/2 cups flour. i want to make 2/5 of the recipe. how much flour should i use?
WARRIOR [948]
To find the answer ,multiply 2 1/2 by 2/5
(2/5)*(2 1/2)=1
Therefore you should use 1 cup of flour.
6 0
3 years ago
Other questions:
  • 7 - 3 ( 5t - 10 ) = 67
    6·2 answers
  • Create a number sentence that results in -14​
    5·1 answer
  • Perform the following food service calculation. Meat to be served = fish fillet Amount of stock = 86 lb. How many customers can
    11·2 answers
  • I’m doing real numbers and i can’t figure out which box to cheCk
    9·1 answer
  • Which of the following is not an appropriate name for the line
    12·1 answer
  • Rachel jogged along a trail that was 1 fourth of a mile long . she jogged along a trail 8 times. how many miles did she jog.
    5·2 answers
  • A driver stopped to purchase 27 gallons of gas and paid $62.10. What is the unit rate for gas?
    10·2 answers
  • Solve the system of equations. y=-3/2+9 <br> 2x+2y=16
    9·1 answer
  • ILL MARK BRAINLIAST ( OR HOWEVER YOU SPELL IT JUST PLEASE HELP) i need all the answers on my 1st attempt i got all of them wrong
    7·1 answer
  • A solid metal sphere of radius 9 is melted and transformed into 3 identical spheres. What is the ratio of the surface area of on
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!