36 is 80% of what number

Answers

Answer 1

Answer: If 36 is 80% ( a piece) of a number. that means the number must be higher than 36

Changing the English to math:

36 = 80% x n (n being the number)
36= .8n (changed the percent to a decimal by moving it back two places
36 = .8n
.8 .8 I divided both sides by .8 - when you divide a number by a decimal (less than one) the number will become larger.
The answer is 45

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A number increases by 10%, and then decreases by 10%. Will the result be greater than, less than, or equal to the original number?
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The GDP is $1,465.2 billion. The population is 249,793,675. Find the per capita GDP.

Answers

Answer:

$5865.6 per capita.

Step-by-step explanation:

That is $1465,2 billion divided by 249,793,675

= 1,465,200,000,000 / 249,793,675

= $5865.6 per capita.

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]

Which equation represents the graph of the linear function? A. y = 3x B. y = 3 C. y = −3 D. y = −3x

Answers

I think the answer is D

Hope it helps

A square has a perimeter of 26 yards. What is the length of each side?

Answers

The length of each side is 6.5 yards.
A square has four sides.
26 ÷ 4 = 6.5 yards.
6.5 × 4 = 26 yards.

Find the 57th term of the following arithmetic Sequences
2,9,16,23

Answers

Each time you add 7
The zeroth term is 2-7=-5
The 57th term is (-5+57*7)=394

What the area of this figure

Answers

Let's first start by finding the area of the bigger rectangle.

Area = Length × Width

Area = (4) (3)

Area = 12 ft².

Now, let's find the area of the smaller rectangle.

Area = Length × Width

Area = (4) (1)

Area = 4 ft².

Finally, we need to add the areas of both of the figures to fo find the area of the whole figure.

12 ft² + 4 ft² = 18 ft².

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