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ICE Princess25 [194]
2 years ago
12

Johanna, Elizabeth, and Dan are preparing a chemical solution for a research project. When

Mathematics
1 answer:
Bond [772]2 years ago
8 0

Using the together rate, it is found that they would prepare the solution in 1.71 minutes working together.

<h3>What is the together rate?</h3>

It is the sum of each separate rate.

In this problem, the rates are given by:

  • Johanna's: 1/6.
  • Elizabeth's: 1/6.
  • Dan's: 1/4.

Hence the together rate is given by:

\frac{1}{x} = \frac{1}{6} + \frac{1}{6} + \frac{1}{4}

\frac{1}{x} = \frac{1}{3} + \frac{1}{4}

\frac{1}{x} = \frac{4 + 3}{12}

7x = 12

x = 12/7

x = 1.71.

They would prepare the solution in 1.71 minutes working together.

More can be learned about the together rate at brainly.com/question/25159431

#SPJ1

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Step-by-step explanation:

The equations have the same slope. In standard form, this can be seen as the same coefficients for x and y. We will multiply the second equation by -12 to reveal this.

\frac{1}{4} x-\frac{1}{3}y=1 \\-12(\frac{1}{4} x-\frac{1}{3}y=1)\\\frac{-12}{4} x-\frac{-12}{3}y=-12\\-3x+4y=-12

This means the equations are parallel and will never cross. There is no solution.

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