The probability of drawing a goldfish on the first draw is 16 / ( 16 + 24 ), or 16/40, or 2/5. Supposing that the first fish drawn is actually a goldfish, then there are 15 goldfish left among 39 fish, and the probability of drawing a goldfish on the 2nd draw is 15/39, or 5/13. The (joint) probability of drawing 2 goldfish on the 1st 2 draws, without replacement, is (5/13)(2/5) = 2/13.
Let h be the number of lemonade sold. If the vendor sold 86 items today and h of them are lemonade, then the rest are hot dogs, so he sold 86-h hot dogs.
When you add the number of sold lemonade and hot dogs, then you get 86 items in total:
h+(86-h)=86.
This equation is exactly the same as equation
(86-h)+h=86.
Moreover,
1. if a snack cart sells lemonade for $2, then he gets $2h for h sold lemonade;
2. if a snack cart sells hot dogs for $5, then he gets $5(86-h) for (86-h) sold hot dogs.
In total he gets $330, then
2h+5(86-h)=330.
Both these equations are true, but only first is among given options.
Answer: correct choice is B.
Y = mx + b
slope(m) = 4
(-3,-1)...x = -3 and y = -1
now we sub...we r looking for b, the y int.
-1 = 4(-3) + b
-1 = -12 + b
-1 + 12 = b
11 = b
so ur equation is : y = 4x + 11
Remark
This is an arithmetic progression. You have the first and last terms and the difference.
Givens
a = - 18
L = 60
d = 4.5
Equation
L = a + (n - 1)d
Solve
60 = -18 + (n - 1) * 4.5 Add 18 to both side
60 + 18 = (n - 1) * 4.5
78 = (n - 1) * 4.5 Divide both sides by 4.5
78/4.5 = n - 1
17.3333 = n - 1 Add 1 to both sides.
18.3333 = n
Conclusion
It will that 18 1/3 or 18.33333 minutes to get the from -18 to 60 degrees.
