Distribute first. 4 times 3x is 12x and 4 times -5 is -20
12x-20+2x=8 now combine your like terms.
14x-20=8 and add 20 to each side
14x=28 divide
x=2
One bag is 5 1/4 pounds so you need to multiply that by 1 1/2 or 3/2 as an improper fraction
21/4 x 3/2 =63/8 change that to a proper fraction to get 7 7/8 lbs
Answer:
= 5 / 12
Step-by-step explanation:
Probability is an outcome of chance. It is a measure of outcomes of events.
To solve the probability of picking a Tootsie Pop, we must comfortably know the contents of the bag.
Number of GRAPE Tootsie pops = 5
Number of CHOCOLATE Tootsie pops= 8
Total number of Tootsie pops = The sum of both Tootsie pops
Total number = 5 + 8
= 13.
Let's note that tge question said , Juan pulls a chocolate Tootsie Pop and eats. The implication is it has reduced the total number of Tootsie Pops left in the bag.
Therefore:
The probability that the next pop he pulls out will be grape will be
Probability (Grape) = 5 / (13 -1)
= 5 / 12
The probability that the next Pop he pulls out will be a grape = 5/12
Answer:
Equation: 
Asymptotes: 
Step-by-step explanation:
Given
Let the reciprocal function be:

First, it was reflected across the x-axis.
The rule is: (x,-y)
So, we have:

Next, translated 5 units right.
The rule is: (x,y)=>(x-5,y)
So:

Lastly, translated 7 units down.
The rule is: (x,y) => (x,y-7)
So:

To get the vertical asymptote, we simply equate the denominator to 0.
i.e.


To get the horizontal asymptote, we simply equate y to the constant.
i.e.


The experimental probability of landing on heads is the same as the theoretical probability of landing on heads.