Answer:
x = 5
Step-by-step explanation:
6 + 8(x - 1) = 2(3x + 4)
We evaluate the numbers in the brackets first.
(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)
6 + 8x - 8 = 6x + 8
The left hand side of the equation is not exactly simplified, so we will evaluate it further first.
(6 - 8 = -2)
8x - 2 = 6x + 8
Now we can start shifting the x and the numbers separately.
Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.
8x - 6x = 8 + 2
Further evaluation
2x = 10
Now we can simply find x.
Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.
x = 10 ÷ 2
Evaluate.
x = 5
Answer:
Mixed number: -12 2/15
Improper fraction: -182/15
Step-by-step explanation:
2 4/5 x -5 2/3
First, change into improper fractions
14/5 x -13/3
= -182/15
= -12 2/15
Hope this helps
45 / 18 as a mixed fraction...
To change the improper fraction to the mixed fraction you have to:-
first divide (as you divide) so that you can get remainder, quotient, divisor and dividend.
i.e 45 is dividend and 18 is divisor.
45 / 18 = 2 9 / 18 where 2 is quotient and 9 is remainder...
so the ans is 2 9 / 18
The problem here is incomplete, but I found a problem online that must be the same to this. The picture is attached. The figure shown is a stemplot. The numbers to the left of the bar is the stem, while numbers to the right are the leaves. So, if you want to find 10.1%, find the row where the left number is 10. Then, find the corresponding 1 among the numbers to the right. That is 10.1% for the older folks living in Colorado.
Principle: divide the correct possibilities by the total nr. of possibilities to find the probability.
6. P(green) = 5 / (7+5+6) = 5/18
7. P(red) = 6 / 18 = 1/3
8. P(not green) = P(red | blue) = (6+7)/18 = 13/18
9. P(HH) = 5/25 = 1/5
10. P(HT) = 16/25
11. P(NOT TT) = P(HH | HT) = (5+16)/25 = 21/25
12. P(HH | TT) = (5+4)/25 = 9/25
13. P(5) = 1/6. P(H) = 1/2. P(5 & H) = 1/6*1/2 = 1/12. If you draw all the possibilities, you'll find there are 12. One of them is 5 & Heads.
