Answer:
its 5y−30
2
Step-by-step explanation:
Because lets put this problem in slope form. The form is Y=mx+b
ok now lets put it with the number Y=2/5+6
Step-by-step explanation:
Given that the mean of the numbers is 12
![mean = \frac{sum \: \: of \: observations}{total \: number \: of \: observations}](https://tex.z-dn.net/?f=mean%20%3D%20%20%5Cfrac%7Bsum%20%5C%3A%20%20%5C%3A%20of%20%5C%3A%20observations%7D%7Btotal%20%5C%3A%20number%20%5C%3A%20of%20%5C%3A%20observations%7D%20)
so here
let's that one as x and another one as 2x since it is given that one is twice the other
Therefore we get
![mean = \frac{13 + x + 4 + 16 + 6 + 2x}{6}](https://tex.z-dn.net/?f=mean%20%3D%20%20%5Cfrac%7B13%20%2B%20x%20%2B%204%20%2B%2016%20%2B%206%20%2B%202x%7D%7B6%7D%20)
Given mean = 12
![12 = \frac{39 + 3x}{6}](https://tex.z-dn.net/?f=12%20%3D%20%20%5Cfrac%7B39%20%2B%203x%7D%7B6%7D%20)
![72 = 39 + 3x](https://tex.z-dn.net/?f=72%20%3D%2039%20%2B%203x)
![3x = 33](https://tex.z-dn.net/?f=3x%20%3D%2033)
![x = 11](https://tex.z-dn.net/?f=x%20%3D%2011)
Hence it's 11 and 22
A triangle can't have two right angles because there is 180° in a triangle. Each right angle is 90° so it would be impossible
Answer:
500 lbs of mixed nuts
Step-by-step explanation:
15.4% of mixed nuts = 77 lbs of pecans
Divide the weight of pecans by the percent of mixed nuts to find how many pounds of pecans equal 1% of the mixed nuts:
77 / 15.4 = 5, so 5 lbs equals 1% of mixed nuts
Now multiply that number by 100 to get 100% of mixed nuts:
5 x 100 = 500
Therefore, there are 500 lbs of mixed nuts in a batch altogether.
To check, 15.4% = 15.4/100 = 0.514
Therefore, 15.4% of 500 = 0.514 x 500 = 77
Thereby proving that 15.4% of 500 is 77.
Answer:
By using the rule that the interior angles of any triangle equal 180 we see that:
m<ABC+m<CAB+m<ACB=180°
Therefore,
(2x+15)+(x+10)+(3x+5) = 180°
Now we have an equation and can solve for x:
Combine like terms:
(2x+15)+(x+10)+(3x+5) = 180°
6x+30=180°
6x+30-30=180-30
6x=150
x=25
To check our work just plug in 25 for x in each equation and the sum of those answers should add up to 180:
2x+15
2(25)+15
65
x+10
25+10
35
3x+5
3(25)+5
75+5
80
65+35+80=180
x=25 is valid
Step-by-step explanation: