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3 years ago

Simplify: (3 × 22) ÷ 6 + [28 – (4)2] Question 17 options: A) 32 B) 23 C) 46 D) 55

Mathematics

1 answer:

algol133 years ago

3 0

Answer:

Step-by-step explanation:

Here the trick is to perform the indicated operations in the correct order. Anything inside parentheses must be done first, followed by any multiplication or division, followed by any addition or subtraction.

Doing the work inside parentheses first:

(3 × 22) ÷ 6 + [28 – (4)2] => (66) ÷ 6 + [28 - 8], or

(66) ÷ 6 + [28 - 8] => 11 + [20], or 31

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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

A meat pie contains chicken and turkey in the ratio 4: 1. The pie contains 200g of chicken.

tatyana61 [14]

How much turkey is in the pie?

The mass of the turkey in the pie is 1/4 of the weight of the chicken

200/4 = 50 grams

5 0

3 years ago

In a cross country meet, you run at a steady pace of 7 minutes a mile. If you finish the race in 21 minutes. How long is the rac

Aleks04 [339]

3 miles:
21 divided by 7 is 3

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bob pays $20 to have the internet installed and $15 a month for service. how much will bob pay for 1 year of internet use? a.$18

Genrish500 [490]

I think it's B.)200 dollars hopefully it helps or at least is right

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What is the y-intercept of the function f(x)=4 - 5x?<br> -5<br> -4<br> 4<br> 5

Len [333]

Answer:

Step-by-step explanation: Its 4 becuase you plug in the zero like this'

f(x)=4-5(0)

f(0)=4-0

f(0)=4

So it will (0,4)

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3 years ago