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Lisa
1 month ago
9

In three hours, Company ABC can make X ball bearings. Company DEF can make X ball bearings in 4 hours. Company GHI can make X ba

ll bearings in 6 hours. Working together, how long will it take all three companies to make X ball bearings?
Mathematics
1 answer:
AnnZ [12.3K]1 month ago
8 0

Answer:

X ball bearings can be produced in 1 hour and 20 minutes

Step-by-step explanation:

Proportions

Proportions serve as an essential method for solving various common challenges. We understand that:

Company ABC manufactures X ball bearings in 3 hours.

Company DEF produces X ball bearings in 4 hours.

Company GHI generates X ball bearings in 6 hours.

In a single hour, each company is capable of producing:

ABC: X/3 ball bearings

DEF: X/4 ball bearings

GHI: X/6 ball bearings

By collaborating, they can produce

\displaystyle \frac{X}{3}+\frac{X}{4}+\frac{X}{6}

ball bearings. Operating together

\displaystyle \frac{4X+3X+2X}{12}=\frac{9X}{12}=\frac{3X}{4}

If their output is 3/4 of a ball bearing in one hour, then it will take

\displaystyle \frac{4}{3} hours to create one complete ball bearing. This translates to 1 hour and 20 minutes.

X ball bearings can be produced in 1 hour and 20 minutes

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9 days ago
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A rope, attached to a weight, goes up through a pulley at the ceiling and back down to a worker. The worker holds the rope at th
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Answer:0.246 ft/s

Step-by-step explanation: As the worker starts moving and stops 10 feet away from the side rope connected to the load, it creates a right triangle, as illustrated in the image.

V = s/t... equation 1

S = distance the worker travels while pulling the rope = 10 ft

V = worker's velocity = 2 ft/s

T = time it takes for the worker to cover 10 ft = the same time the load takes to rise = 5 seconds

Using Pythagorean theorem to find the distance from the pulley to the new position of the worker

Square root of (40^2 + 10^2) = 41.23 ft

Distance covered by load = D = 41.23 - 40

= 1.23 ft

Load speed = D/t...equation 2

Substituting D and t into equation 2 gives us

Load speed = 1.23/5 = 0.246 ft/s

4 0
10 days ago
A dog groomer is offering 20% off a full groom for one dog, and 15% off for each additional dog. You decide to take your two fur
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Answer: The total discounted cost to groom two dogs amounts to 22.75

Step-by-step explanation:

A grooming service is offering a 20% discount for the first dog and 15% off each subsequent dog. Typically, a full grooming service for one dog costs $65.

If you choose to groom both of your dogs,

the discount for the first one would be

20/100 × 65 = 0.2 × 65 = 13

the second dog's discount would be

15/100 × 65 = 0.15 × 65 = 9.75

Thus, the total discounted price for grooming the two dogs would be

13 + 9.75 = 22.75

3 0
18 days ago
An oblique prism has trapezoidal bases and a vertical height of 10 units. An oblique trapezoidal prism is shown. The trapezoid h
Svet_ta [12734]

Response:

Volume of the trapezoidal prism = 15x^2 cubic units

Detailed explanation:

First, let’s calculate the area of the trapezoidal bases.

The lengths of the parallel sides are x and 2x, averaging to 1.5x.

The height stands at x

Consequently, area of the trapezoidal base comes out to be 1.5x * x = 1.5x^2

The volume of this prism is computed as area of the base multiplied by height

(the length is not a factor, but height certainly is)

Thus, 1.5x^2 * 10 yields 15x^2

5 0
20 days ago
out of fifty students,34 joined the journalism class and 25 joined robotics club.if 16 students joined both clubs,how many stude
AnnZ [12381]

Answer:

Step-by-step explanation:

Overall students=50

35 -> j.

25 -> r.

16-> j.+r.

35-16=19 students joined j.

25-16=9 joined r.

50-19+9

50-28=22

The answer is 22

It would be nice if you could give me the brainliest rating. Best of luck!

3 0
1 month ago
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