Answer:
x = 5
y = 1
Step-by-step explanation:
So move 2y from the second equation to the other side of the equals sign
2x +3y = 13
x = 3 + 2y
From here substitute X into the first equation
2(3 + 2y) + 3y = 13
Distribute
6 + 4y +3y = 13
Combine like terms and solve for y
7y = 7
y = 1
insert result into the original equation.
x-2(1) = 3
x - 2 = 3
x = 5
insert into other equation to check work
2(5) + 3(1) = 13
10 + 3 = 13 correct
Answer:
The probability that the second card drawn is red, given that the first card was a heart is 0.1225
Step-by-step explanation:
Total cards in a deck = 52
Total red cards = 26
Heart cards = 13
Probability of getting red card =
Total remaining card = 51
Remaining red cards = 25
Probability of getting red card in second draw without replacement = 
So, the probability that the second card drawn is red, given that the first card was a heart = 
Hence the probability that the second card drawn is red, given that the first card was a heart is 0.1225
Some number y has 7 subtracted off to get 15. We have y-7 = 15. To isolate y, we have to undo the "subtract 7" operation that happens to y. We have to add 7 to both sides.
y-7 = 15
y-7+7 = 15+7
y = 22 is the answer
Answer:
6 points
Step-by-step explanation:
- 1/10=x/20
- cross multiply the x with the 10 and the 20 with the 1 so that you are now left with the fraction 10x/20
- 10x divided by 20 will give you x=2
- to check and make sure this is still equivalent with the 10% of shots Madeline makes divide 2/20
- Since this is still 10 percent Madeline makes 2 out of every 20 shots
- Multiply those 2 shots by three points since it was from the three point line and we get 6 points
Hope that helps :)