first subtract the last equation from the first. this gives:-
-x + y = -8 .....................(1)
Then multiply the first equation by 2 and add it to the 2nd equations This gives
9x = 18
so x = 2
and from equation (1) y = -8 + 2 = -6
Substituting for x and y in the second equation
z = (24 -5(2) -12) / 2 = 1
Answer is choice b.
Answer:
53.57%
Step-by-step explanation:
We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :
# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)
= 10 * 3 = 30
That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.
# of random groups of 5 = 8C5 = 8! / (5! * (8-5)!) = 56
That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:
P (3 girls and 2 boys) = 30/56 = 0.5357
Which means that the probability is 53.57%
Answer:
I didn't even realize until I had written all of the answers down that they are all <u><em>C.</em></u>
37 = C. <u>15%</u>
38 = C. <u>2
</u>
39 = C. <u>48</u>
Step-by-step explanation:
37: I used process of elimination to figure out which percentage of decrease it was by just multiplying 42 by each percentage until I got 6.3 which is what you need to subtract from 42 to get 35.7, so the answer is C, or 15%.
38: A coefficient is the number that is being multiplied by the variable, which in this case is "x". So whatever answer involves "2x" is the correct answer. Therefore the answer is C, or <u>2.</u>
39: You have to add the amount of money Henry paid for painting supplies and how much profit he mad to figure out how much money he really made. 400 + 560 = 960 and he charges $20 for each painting so you need to divide 960/20 to get your answer, which is C, or 48.
The answer to that question is 62x ()//‘’::;;
Answer:
Born Without A Heart by Faouzia
Step-by-step explanation:
