Each movie ticket was $11.75
Answer:
(C) 1/13
Step-by-step explanation:
Since, In a pack of 52 playing cards, there are 4 jacks in total.
If patricia selects a card at random, then the probability that it will be a jack will be:
Probability it is a jack=
=
=
Which is the required probability.
Answer:
8
Step-by-step explanation:
total number of pencils = 186
number of students = 23
number of pencils each student gets = number of pencils ÷ number of pencils
=186/23
=8.08
so each student gets 8 pencils
Answer:
(4,-1)
Step-by-step explanation:
You can solve this system of equations in a couple of different ways, but I'm going to use the elimination method. If you're solving a system of equations using elimination, you want to have one variable cancel out. In this case, we don't have to change anything because -3y and 3y will already cancel out if we add the two equations together. You can both add or subtract, but it's easiest to add in this case. The equation will be set up like this: 2x-3y=11
+ 7x+3y=25
--------------
After you add them together, you should get 9x=36, which you can solve by dividing both sides by 9. Then, you'll get x=4. This is your x-coordinate. Next, you want to get your y-coordinate, so you can substitute 4 into one of the two equations for x and solve for y. This will get you -1 for y. I'd also recommend checking your answer. Hope this was helpful! :)
No two <em>intergers</em> can solve this problem. If you're not in Algebra II yet, the answer is probably "none."
Just look at the factor pairs of 25:
1 × 25
-1 × 25
5 × 5
-5 × -5
Clearly none of those can add up to 6.
If you want the more complex answer, I'll show you how here. If you don't understand why it doesn't work, that's okay. I just want you to see that there's not an actual answer to the problem.
a+b = 6
a = 6-b
ab = 25
(6-b)b = 25
6b -b² = 25
-b² + 6b = 25
b² -6b = -25
Factor by splitting the middle.
Half of -6 is -3, (-3)² = 9. Add this to each side.
b² -6b + 9 = -16
Factor the perfect square trinomial.
(b-3)² = -16
Take the square root of each side.
b-3 = 4i
b = 3+4i
a+b = 6
a+3+4i = 6
a= 3-4i
<em>(The "i" stands for an imaginary number, specifically, the square root of -1.)</em>
