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3 years ago

Use the greatest common factor to write the fraction in simplest form: 32/48

Mathematics

1 answer:

Illusion [34]3 years ago

8 0

Answer:

Divide both by 8

Which gives you

4/6

That can be simplest form by 2

2/3 is your final answer!

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Which ordered pairs are in the solution set of the system of linear inequalities?

Elanso [62]

Answer:

The ordered pairs (5 , -2) , (3 , 1) , (4 , 2) are in the set of the solution ⇒

3rd answer

Step-by-step explanation:

- The first line has negative slope and passing through points (0 , 0)

and (4 , -2)

∵ $y>\frac{-1}{2}x$

- The second line has positive slope and passing through points (-2 , 0)

and (2 , 2)

∵ $y$

- Look to the attached figure to see the common part of the solutions

- The red shaded represents the inequality $y>\frac{-1}{2}x$

- The blue shaded represents the inequality $y$

- The shaded part with two colors represents the common solutions

of the two inequalities

- Lets find the ordered pairs which are in the solution set of the system

of linear inequalities

- Points (-4 , 2) , (-3 , 1) , (4 , -3) lies out the common shaded

- Points (5 , -2) , (3 , 1) , (3 , -1) , (4 , 2)

∵ Point (5 , -2) lies in the common shaded part

∵ Point (3 , 1) lies in the common shaded part

∵ Point (4 , 2) lies in the common shaded part

∴ The ordered pairs (5 , -2) , (3 , 1) , (4 , 2) are in the set of the

solution

4 0

4 years ago

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W= x/y-x solve for x

svetoff [14.1K]

Answer: w=−xy+x/y

Step-by-step explanation:

Let's solve for w.

−x

Step 1: Multiply both sides by y.

wy=−xy+x

Step 2: Divide both sides by y.

−xy+x

3 0

3 years ago

Find the slope and the y-intercept of the graph of the linear equation.<br> 0 = 1 - 2y + 14x

yarga [219]

The slope is 7 and the y intercept is (0,1/2):)

6 0

3 years ago

Suppose that 20% of the employees of a given corporation engage in physical exercise activities during the lunch hour. Moreover,

Harlamova29_29 [7]

Answer:

a) 0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

b) 0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

Step-by-step explanation:

Question a:

20% of employees engage in physical exercise.

This 20% is composed by:

8% of 60%(males)

x% of 100 - 60 = 40%(females).

Then, x is given by:

$0.08*0.6 + 0.4x = 0.2$

$0.4x = 0.2 - 0.08*0.6$

$x = \frac{0.2 - 0.08*0.6}{0.4}$

$x = 0.38$

0.38 = 38%

Probability of being a female who engages in exercise:

40% are female, 38% of 40% engage in exercise. So

0.38*0.4 = 0.152

0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

B. If we choose an employee at random from this corporation,what is the probability that this person is a female who does not engage in physical exercise activities during the lunch hour?

40% are female, 100% - 38% = 62% of 40% do not engage in exercise. So

0.62*0.4 = 0.248

0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

3 0

3 years ago

A rider sits on a motorcycle. The mortorcycle has a mass of 237 kilograms. Thee rider has a mass of 89 kilograms. what is the to

Luba_88 [7]

The total mass is 326 kilograms.

7 0

3 years ago

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