2 possibilities for each person, for 8 people
= 2*2*2*2*2*2*2*2
=2^8
= 256 ways of announcing the result
the width of Yun's area model is 7x units or ( x-2 )units .
<u>Step-by-step explanation:</u>
Here we have , Yun was trying to factor 7x^2-14x. He found that the greatest common factor of these terms was 7x and made an area model: What is the width of Yun's area model. Let's find out:
We know that area of rectangle :
⇒
.........(1)
Now , According to question we have
⇒ 
⇒ 
Comparing this equation to equation (1) we get that :
⇒
or , 
Therefore , the width of Yun's area model is 7x units or ( x-2 )units .
Answer:
Diego is 14 years old.
Sister is 19
Step-by-step explanation:
x = Diego's age
<u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>4</u>
2x-9 = 2
First to get rid of the fraction we multiply each side by 2
2(2x-9) = 2((x+24)/2)
4x-18 = x+24
The we isolate x
4x-18 = x+24
<u>-x+18 -x+18</u>
<u>3x</u> = <u>42</u> Now we divide each side 3
3 3
x = 14
So Diego is 14
Now we can solve for his sister. We can use one of the two equations from earlier to do this.
Plug 14 in for x and then solve for his sister
2(14)-9
28-9
19
His sister is 19
Answer:
1st: consistent and dependent
2nd: (-2,0). Simply put the called and check.
Answer:
Step-by-step explanation:
volume=1/3×πr²h
=1/3π×(11.2/2)²×5.9
=1/3×22/7×(5.6)²×5.9
≈1/3×22×5.6×8×5.9
≈1938.3 in³