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sergiy2304 [10]
2 years ago
10

Reid can execute one security audit in 10 days. He works 4 times as fast as Greg. I f Reid and Greg were assigned to work Togeth

er on the same security task they would have finished it in
SAT
1 answer:
Bogdan [553]2 years ago
6 0

Using the together rate, it is found that they would have finished the task in 8 days working together.

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

It is the sum of each separate rate.

In this problem, the rates are given as follows:

  • For Reid, it is of 1/10.
  • Greg works four times as slower as Reid, that is, one security audit takes 40 days, hence his rate is of 1/40.

Then, the together rate is given by:

\frac{1}{x} = \frac{1}{10} + \frac{1}{40}

\frac{1}{x} = \frac{4 + 1}{40}

5x = 40

x = 8

They would have finished the task in 8 days working together.

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

#SPJ1

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Two numbers differ by 8 if their product is 713 then the sum of the two numbers is.
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The sum of the two numbers is equal to 70.

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  • Let the second number be y.

In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).

Translating the word problem into an algebraic expression, we have;

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x-y=8    ....equation 1.

The product of the two numbers is 713:

xy=713    ....equation 2.

To calculate the sum of the two numbers:

First of all, we would solve for each of the unknown variables (x and y).

From eqn. 1, we have:

x=8+y   ....equation 3.

Substituting eqn. 3 into eqn. 2, we have:

y(y+8)=713\\\\y^2+8y=713\\\\y^2+8y-713=0

Solving the quadratic equation by factorization, we have:

y^2-31y +23y-713=0\\\\y(y-31)+23(y-31)=0\\\\(y+23)(y-31)=0

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For the value of x, when y = 31:

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Now, we can calculate the sum of the two numbers:

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Government forces refer to political power or authority in which the government exercise on her citizens to reach a particular goal.

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