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3 years ago

Round 0.831 to the nearest hundred

Mathematics

1 answer:

labwork [276]3 years ago

8 0

0.83 is the right answer because the hundredth position is at the 3 is three less than 5 or greater than 5 its less.

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

Pavlova-9 [17]

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

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

$|-50+20|\leq 10$

$30\leq 10$

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

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

$|-20+20|\leq 10$

$0\leq 10$

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

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

$|0+20|\leq 10$

$20\leq 10$

so, this is FALSE

so, solution is

[-3,-1]

7 0

3 years ago

2y+3=11<br> two y add three = 11

sveticcg [70]

Answer:

y=4.5

Step-by-step explanation:

2y+3=11

2y=11-3

2y=9

y= 4.5

7 0

2 years ago

FP!<br> what is 50 + 20

meriva

50+20=70

Have a great day:)

4 0

2 years ago

Read 2 more answers

3 square root of 2 in radical form

Stolb23 [73]

Answer:

Step-by-step explanation:

3 0

2 years ago

Kiki has 1/6 pound of blueberries and 5/8 pound of raspberries.

Darina [25.2K]

Answer: Did this all by myself 1/6 is closer to 0 and 5/8 is closer to 1/2 so the answer is 1/2 0 then 1/2 then 1/3 again

Step-by-step explanation:

1/ 6 -5 /8 =(1 × 4 6 × 4) – (5 × 3 8 × 3) = 4 /24 – 15 /24 = 4 – 15 24 = – 11 24

7 0

3 years ago