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
yKpoI14uk [10]
3 years ago
12

Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every

20 seconds. If the two machines run simultaneously, how many seconds will it take for them to produce a total of 200 bolts?
Mathematics
2 answers:
Nutka1998 [239]3 years ago
4 0

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}

For machine B:

B = \frac{100 bolts}{20 s}= 5 \frac{bolts}{s}

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

A+B=(3+5)\frac{bolts}{s}=8\frac{bolts}{s}

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

t = \frac{bolts}{ProductionRate}= \frac{200 bolts}{8 \frac{bolts}{s} }

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

t = \frac{200}{8} s = 25 s

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

Cloud [144]3 years ago
3 0

Answer:

25 seconds.

Step-by-step explanation:

We have been given that Machine A produces bolts at a uniform rate of 120 every 40 seconds.

Bolts made by Machine A in one second would be \frac{120}{40}=3 bolts.

Machine B produces bolts at a uniform rate of 100 every 20 seconds.

Bolts made by Machine B in one second would be \frac{100}{20}=5 bolts.

The speed of making bolts in one second of both machines running simultaneously would be 3+5=8 bolts per second.

\text{Time taken by both Machines to make 200 bolts}=\frac{200\text{ bolts}}{8\frac{\text{bolts}}{\text{Sec}}}

\text{Time taken by both Machines to make 200 bolts}=\frac{200\text{ bolts}}{8}*\frac{\text{Sec}}{\text{bolts}}

\text{Time taken by both Machines to make 200 bolts}=25\text{ Sec}

Therefore, the both machines will take 25 seconds to make 200 bolts.

You might be interested in
I NEED HELP NOW I WILL DO ANYTHING
frosja888 [35]
The answer is C if its not tell me but if so give me 5 stars and send me a friend request.


4 0
3 years ago
What are the formulas for COS, TAN, and SIN?
Doss [256]
I'm guessing that you don't really want the formulas.  I think what you actually want
is the definitions of those functions of an acute angle when it's in a right triangle.

Cosine = (adjacent side) / (hypotenuse)

Tangent = (opposite side) / (adjacent side)

Sine = (opposite side) / (hypotenuse)

Tell me if I'm wrong, and I'll find some formulas for you.
8 0
3 years ago
If a * b + 5 *a + 3 * b + 15= 24 and a+ 3 =6 then what is the value of a+b​
Semmy [17]

Answer:

a +b = 2

Step-by-step explanation:

a +3 = 6

    a = 6 -3

   a = 3

Plugin  a =3 in the equation,

a*b +5*a +3*b + 15 = 24

3b + 5*3 + 3b + 15 = 24

3b + 15  + 3b + 15 = 24      {combine like  terms}

3b + 3b + 15 + 15 = 24

             6b  + 30  = 24           {Subtract 30 from both sides}

                       6b = 24 -30

                      6b = -6               {divide both sides by 6}

                         b = -6/6

b = -1

a + b = 3 + ( -1)

         = 2

7 0
3 years ago
What is the equation of the line that passes through the point (-3,5) and has a slope of -2
wariber [46]

Answer:

equation: y=-4x-7

Step-by-step explanation:

y=-4x+b

solve for b using given coordinates on the line (-3, 5)

5=-4(-3)+b

b=-7


6 0
3 years ago
Read 2 more answers
You are painting the outside wall of a large building. The wall has a width of 60.11 meters, and a height of 79.88 meters. You n
77julia77 [94]

Answer: A)  4,800 m2

60.11m x 79.88= 4801.5868

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the value of the expression below? <br> −5+∣9−11∣
    9·2 answers
  • Duing the last winter carnival the local college students built a 30-foot snowman out of 100 tons of snow. How much snow will be
    9·1 answer
  • HELP ME PLEASE !!!!!!!!!!!!!!
    10·2 answers
  • The price of a necklace was increased by 20% to ?156. What was the price before the increase?
    6·1 answer
  • What is 3(4x+1)-9x=12-6x
    6·2 answers
  • (110×110×110×110)2=?
    11·1 answer
  • The radius of a cylindrical construction pipe is 3.5ft . If the pipe is 38ft long, what is its volume? Use the value 3.14 for (p
    8·1 answer
  • Help quickly as possible thank you :) ​
    11·2 answers
  • Which equation represents this statement?
    5·2 answers
  • 85 points if u can answer this is the next 20 minutes!!!! Function 1 is defined by the following table
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!