MATHEMATICS MIDDLE SCHOOL

Convert 18/40 to a decimal

Answers

Answer 1

Answer:

Answer:

45%

Step-by-step explanation:

18/40 = 9/20

1/20 = 5%

5 * 9 = 45

45%

Answer 2

Answer: The answer is 0.45 or 45% if you want a percentage

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Write 540 as a product of prime numbers

Answers

540 = 2 x 2 x 3 x 3 x 3 x 5

the answer is : 2 2 3 3 3 5

What is the mean to a math problem

Answers

It's the average of a data set. It can be found by adding all the numbers and dividing it by how many numbers there are.

Is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers. In other words it is the sum divided by the count.

Find the solution set of this inequality|10x+20| ≤10

Answers

Answer:

solution is

[-3,-1]

Step-by-step explanation:

we are given

$|10x+20|\leq 10$

Firstly, we will find critical values

so, let's assume it is equal

$|10x+20|= 10$

now, we can break absolute sign

For $|10x+20|= -(10x+20)$ :

$-(10x+20)= 10$

we can solve for x

$-10x-20= 10$

Add both sides by 20

$-10x-20+20= 10+20$

$-10x= 30$

Divide both sides by -10

and we get

$x=-3$

For $|10x+20|= (10x+20)$ :

$(10x+20)= 10$

we can solve for x

$10x+20= 10$

Subtract both sides by 20

$10x+20-20= 10-20$

$10x= -10$

Divide both sides by 10

and we get

$x=-1$

so, critical values are

$x=-3$

$x=-1$

now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For $(-\infty,-3)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

$|10* -5+20|\leq 10$

$|-50+20|\leq 10$

$30\leq 10$

so, this is FALSE

For $[-3,-1]$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

$|10* -2+20|\leq 10$

$|-20+20|\leq 10$

$0\leq 10$

so, this is TRUE

For $(-1,\infty)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

$|10* 0+20|\leq 10$

$|0+20|\leq 10$

$20\leq 10$

so, this is FALSE

so, solution is

[-3,-1]

What is 3/4 of 2 3/4

Answers

Answer:

The answer of your question is 2.0625

How many zeros in five million dollars

Answers

$5,000,000

6 zeros, 3 holding the hundreds, 3 holding the hundred thousands.

Hope this helps!

Point d is the centroid of triangle abc use the given information to find x.GD=2x-8 and GC=3x+3

Answers

Answer and workings in the attachments below.

x=9.

The centroid D cuts every median in the ratio 2:1. The distance between a vertex and the centroid is twice the distance between the centroid and the midpoint of the opposite side.

Therefore: |DC| = 2|GD|
|GC| = |GD| + |DC| = |GD| + 2|GD| = 3|GD|

so... we have:

3x + 3 = 3(2x-8)
3x + 3 = 3 × 2x - 3 × 8
3x + 3 = 6x - 24 |subtract 3 from both sides
3x = 6x -27 |subtract 6x from both sides
-3x = -27 |divide both sides by (-3)

x = 9

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