Answer:
(4, 7) (third answer choice)
Step-by-step explanation:
In the system
y = x + 3
3x + y = 19
the first equation already gives y in terms of x. Thus we can substitute x + 3 for y in the second equation:
3x + (x + 3) = 19, which simplifies to:
4x = 16, yielding x = 4. Substituting 4 for x in the first equation, we get:
y = (4) + 3 = 7.
Thus, the solution is (4, 7) (third answer choice).
Answer:
X=20; pqr = 130°
Step-by-step explanation:
They key here is to notice that the instructions say that qs bisects pqr, meaning that it evenly cuts it into 2 pieces. So, to find x, you just solve for x in the equation 3x+5=2x+25. Then, you plug it back into either side of the equation, at which point, you should get 65. Since it is half of pqr, just double it to get your final answer of 130°
Answer:
4a. 41, 4b. 26.2, 4c. 42.8, 4d. 27.05 26.2, 27.05, 41, 42.8
Step-by-step explanation:
Answer:
(a)2/3
(b)2/3
(c)9/13
Step-by-step explanation:
Total Number of Cards in new Deck=39
Hearts(Red)=13
Diamonds(Red)=13
Spades(Black)=13
(a)P(drawing a red card)
Total number of red cards = 13+13=26
P(drawing a red card)=26/39=2/3
(b)Drawing a heart or a red card
Number of Hearts=13
Number of red cards=26
Number of Red Hearts = 13
Since the two events are not mutually exclusive
P(Hearts or Red) = P(Hearts) + P(Red) - P( Hearts and Red)
P(H∪R)=P(H)+P(R)-P(H∩R)
=13/39 + 26/39 - 13/39
=26/39 =2/3
(c)Drawing a jack or a red card.
Number of Jacks=3
Number of red cards=26
Number of Red Jacks = 2
Since the two events are not mutually exclusive
P(Jack or Red) = P(Jacks) + P(Red) - P( Jacks and Red)
P(J∪R)=P(J)+P(R)-P(J∩R)
=3/39 + 26/39 - 2/39
=27/39 =9/13