Answer:
17. z=18
18. n=-15
19. j = -50
20. a=-27
21. h=-15
22. d=.392
Step-by-step explanation:
17. Multiply both sides by 3, then subtract 6 from both sides
![\frac{z+6}{3}=8\\\\\frac{z+6}{3} * 3 = 8\\\\z+6=8*3\\z+6=24\\](https://tex.z-dn.net/?f=%5Cfrac%7Bz%2B6%7D%7B3%7D%3D8%5C%5C%5C%5C%5Cfrac%7Bz%2B6%7D%7B3%7D%20%2A%203%20%3D%208%5C%5C%5C%5Cz%2B6%3D8%2A3%5C%5Cz%2B6%3D24%5C%5C)
![z+6-6=24-6\\\\z=18](https://tex.z-dn.net/?f=z%2B6-6%3D24-6%5C%5C%5C%5Cz%3D18)
18. Multiply both sides of the equation by 2, then add 7
![\frac{n-7}{2}=-11\\\\ n-7 = -22\\\\n=-15](https://tex.z-dn.net/?f=%5Cfrac%7Bn-7%7D%7B2%7D%3D-11%5C%5C%5C%5C%20n-7%20%3D%20-22%5C%5C%5C%5Cn%3D-15)
19. Multiply both sides by -4, then subtract 18 from both sides.
![\frac{j+18}{-4}=8\\ j+18 = -32\\j = -50](https://tex.z-dn.net/?f=%5Cfrac%7Bj%2B18%7D%7B-4%7D%3D8%5C%5C%20j%2B18%20%3D%20-32%5C%5Cj%20%3D%20-50)
20. Add six to both sides, then multiply both sides by 3
![\frac{1}{3} a-6=-15\\\\\frac{1}{3}a=-9\\\\a=-27](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20a-6%3D-15%5C%5C%5C%5C%5Cfrac%7B1%7D%7B3%7Da%3D-9%5C%5C%5C%5Ca%3D-27)
21. Subtract 4 from both sides, then multiply both sides by 4
![\frac{1}{4}=\frac{1}{4}h+4\\\\-\frac{15}{4}=\frac{1}{4}h\\\\\\-15 = h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B1%7D%7B4%7Dh%2B4%5C%5C%5C%5C-%5Cfrac%7B15%7D%7B4%7D%3D%5Cfrac%7B1%7D%7B4%7Dh%5C%5C%5C%5C%5C%5C-15%20%3D%20h)
22. Subtract 6.42 from both sides, then divide both sides by -10
![6.42-10d=2.5\\\\-10d=-3.92\\\\d =\frac{-3.92}{-10} \\\\d=.392](https://tex.z-dn.net/?f=6.42-10d%3D2.5%5C%5C%5C%5C-10d%3D-3.92%5C%5C%5C%5Cd%20%3D%5Cfrac%7B-3.92%7D%7B-10%7D%20%5C%5C%5C%5Cd%3D.392)
B .......................
Answer:
Option B: (½•16)⅓
Step-by-step explanation:
The associative property states that we can add or multiply numbers in a group regardless of how those numbers are grouped. And that we will get the same answer.
For example;
x(y•z) = (x•y)z = (x•z)y
Now in our question, we want o evaluate; ½(16•⅓)
Using the associative property, the best expression will be: (½•16)⅓
It's the best expression because the terms in the bracket are easy to multiply out without remainder.
Thus, option B is correct
Here's what i found online:
<span>a/3+4=6
We simplify the equation to the form, which is simple to understand
<span>a/3+4=6
Simplifying:
<span> + 0.333333333333a+4=6
We move all terms containing a to the left and all other terms to the right.
<span> + 0.333333333333a=+6-4
We simplify left and right side of the equation.
<span> + 0.333333333333a=+2
We divide both sides of the equation by 0.333333333333 to get a.
<span>a=6
Hope this helped :-)</span></span></span></span></span></span>
Answer:
First angle = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 2x+5 = 70 + 5 = 75°
Step-by-step explanation:
<u>Given : </u>
The second angle measures twice the first, and the third angle measures 5 more than the second.
Sum of angles = 180°
<u>Solution : </u>
Let the first angle be x
According to the given question :
Second angles = 2x
Third angle = 2x + 5
we know that Sum of angles = 180°
<u>Solving x value :</u>
x + 2x + (2x+5) = 180°
5x + 5 = 180
5x = 180 - 5
5x = 175
x = 175/5
x = 35
<u>Finding the measure of each angle : </u>
First angle = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 2x+5 = 70 + 5 = 75