What is 23.75 in a mixed number in simplest form?

What is the solution of the system?

kakasveta [241]

Divide the first equation by 2 and add the result to the second equation. This will eliminate x.

... (-4x -2y)/2 + (2x +4y) = (-12)/2 +(-12)

... 3y = -18 . . . . . collect terms

... y = -6 . . . . . . . divide by 3

Substitute this into either equation to find x. Let's use the second equation, where the coefficient of x is positive.

... 2x +4(-6) = -12

... 2x = 12 . . . . . . . . add 24

... x = 6 . . . . . . . . . . divide by 2

The solution is (x, y) = (6, -6).

8 0

4 years ago

3 - (2x + 4) = 2(x - 4.5) means that x =

zloy xaker [14]

X equals to -9 I believe

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

Describe a point. what could you use as a model of a point ?

NNADVOKAT [17]

A point is an exact location.
It has no length, width, or height.
It has no area or volume.
It has no mass, shape, or other physical properties.

As a model ...

-- you could use the period at the end of a sentence printed on paper.
It looks like this ==> ·

-- You could use the point of a very sharp pencil.

-- You could use the tiny dot that the point of
a very sharp pencil makes on paper.

-- You could use the point of a pin.

-- You could use the tiny hole that the point of
a pin makes in a sheet of paper.

These are all bigger than a real point. They all have a little bit of size,
length, width, height, and you can see them. But they get the idea across.
(They 'make the point'.)

6 0

3 years ago

The radius of a circle is 10 cm. What is the approximate area of the circle? What is the exact area of the circle? Show your wor

faltersainse [42]

First let's review the area formula for a circle.

Area=π $r^2$

Now that we know the radius, r is 10. The area is

10*10*π=100π

I will approximate π to 3.14 although you could do it more precise or less precise. The final answer will be 100*3.14=314 squared centimeter.

Any question you have about this just ask in the comment of this answer :)

5 0

3 years ago