<span>Simplifying
12 + -6(w + -3) = 3(-5 + -3w) + 21
Reorder the terms:
12 + -6(-3 + w) = 3(-5 + -3w) + 21
12 + (-3 * -6 + w * -6) = 3(-5 + -3w) + 21
12 + (18 + -6w) = 3(-5 + -3w) + 21
Combine like terms: 12 + 18 = 30
30 + -6w = 3(-5 + -3w) + 21
30 + -6w = (-5 * 3 + -3w * 3) + 21
30 + -6w = (-15 + -9w) + 21
Reorder the terms:
30 + -6w = -15 + 21 + -9w
Combine like terms: -15 + 21 = 6
30 + -6w = 6 + -9w
Solving
30 + -6w = 6 + -9w
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '9w' to each side of the equation.
30 + -6w + 9w = 6 + -9w + 9w
Combine like terms: -6w + 9w = 3w
30 + 3w = 6 + -9w + 9w
Combine like terms: -9w + 9w = 0
30 + 3w = 6 + 0
30 + 3w = 6
Add '-30' to each side of the equation.
30 + -30 + 3w = 6 + -30
Combine like terms: 30 + -30 = 0
0 + 3w = 6 + -30
3w = 6 + -30
Combine like terms: 6 + -30 = -24
3w = -24
Divide each side by '3'.
w = -8
Simplifying
w = -8</span>
Answer:
huh
Step-by-step explanation:
24 / (3/8) =
24 * 8/3 =
192/3 =
64......there are 64 three-eights quart jars
An inequality is solved by more than one value - usually an interval, or a union of intervals.
In this case, we have:
Add 14 to both sides:
Divide both sides by 12:
To find the median of the data set, you must first put the numbers in order
33, 33, 35, 41, 42, 50, 53, 56, 62, 70
Now that we have them in order, find the one that is in the middle. In this case it's an even amount of numbers so there are 2 middle numbers 42 and 50.
What you do when you end up with this situation all you have to do is add the two middle numbers
42 + 50 = 92 then divide the total by 2, which is finding the average of the two numbers.
92 ÷ 2 = 46
46 is the median of the data set.
Hope this helps. :)