x = -1/3
Explanation:
-3x-2=-1
collect like terms by adding +2 to both sides:
-3x -2 + 2 = -1 + 2
-3x = 1
Divide both sides by the coefficient of x:
coefficient of x = -3
-3x/-3 = 1/-3
x = -1/3
Answer:
The solution is r <u>></u> 7.
Closed circle at 7 with an arrow pointing to the right
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello, please consider the following.
So a = 4, h = 5 and k = 12
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
<h3>
Answer: 17/24</h3>
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Explanation:
We have these four cases or possible outcomes
- Case 1) We select 0 black marbles and 3 red marbles.
- Case 2) We select 1 black marble and 2 red marbles.
- Case 3) We select 2 black marbles and 1 red marble.
- Case 4) We select 3 black marbles and 0 red marbles.
Let's calculate the probability for case 4.
There are 7 black marbles out of 10 total. The probability of picking black is 7/10. If no replacement is made, then 6/9 is the probability of picking black again (subtract 1 from the numerator and denominator separately). Finally, 5/8 is the probability of getting black a third time.
The probability of getting 3 black marbles in a row is
(7/10)*(6/9)*(5/8) = (7*6*5)/(10*9*8) = 210/720 = 7/24.
That fraction 7/24 means that if you had 24 chances, then you expect about 7 of them will lead to getting three black marbles in a row (aka case 4). Therefore, 24-7 = 17 occurrences are expected where we get cases 1 through 3 occur in some fashion (pick one case only).
Notice how cases 1 through 3 encapsulate the phrasing "at most 2 black marbles" which is another way of saying "2 black marbles is the highest we can go".
So that's why the answer is 17/24.
The expression for the amount of time rented would be:
C=60(h), I choose this expression because C would stand for cost, 60 for the amount per hour, and h for the piece of expression being given. Now when you need to find the amount per hour, the brackets means to times; so you'd plug in the hour needed to be found in h, and times 60 by the hour.
Your table should look like this :
COST PER HOUR | HOURS | COST
$60 | 2 | $60 x 2 = $120
$60 | 6 | $60 x 6 = $360
$60 | 8 | $60 x 8 = $480
$60 | 10 | $60 x 10 = $600
