Solving inequalities is just like solving any other Algebraic problem...look to P.E.M.D.A.S. (Parenthesis, Exponents, Division, Addition, Subtraction). So lets take a look at this problem now.
1200 + 0.075x

3300
Subtract 1200 from both sides...
0.075x

2100
Now divide by 0.075...
x

28000
NOTE: If you divide or multiple by a negative number while solving inequalities, you must flip the sign. Ex: You answer would be x

28000 if you would've multiplied or divided by a negative.
For the given situation we have a total of 259,459,200 permutations.
<h3>
How many permutations are?</h3>
First, how we know that it is a permutation?
Because the order matters, we aren't only selecting 8 out of the 15 people, but these 8 selected also have an order (is not the same thing to finish the race first than fourth, for example).
Then we need to find the number of permutations, to do it, we need to find the numbers of options for each of the 8 positions.
- For the first position there are 15 options.
- For the second position ther are 14 options (one runner already finished).
- For the third position there are 13 options.
- And so on.
Then the total number of permutations (product between the numbers of options) is:
P = 15*14*13*12*11*10*9*8 = 259,459,200
If you want to learn more about permutations:
brainly.com/question/11732255
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Answer:
A
Step-by-step explanation:
6x+3y=33 <=> 2x+y=11<=>4x+2y=22 (1)
4x+y=15 (2)
(1)-(2) <=> y=7
Answer:
The answers provided aren't reasonable for this graph.
Step-by-step explanation:
The graph's y-intercept is -2, since that is the point where the line intersects the y-axis. The slope is 3x, because the distance from one point to the next is 3 up, 1 right. So the equation for the graph is y = 3x - 2.