Answer:
315
Step-by-step explanation:
If one gallon of gas can give you 45 miles, than multiple 45 ( the miles ) times 7 (the gallons of gas) and you will have your answer :)
(x-3)2+(y-4)2=24
2x-6+2y=24
2x-14+2y=24
2x=24+14-2y
2x=38-2y
x=19-y
Y=6x^2 -5x+6 ( the first option )
Here we have a problem of probability, we will find that the probability of landing in heads is M/N = 1/3, then we have:
M + N = 1 + 3 = 4.
Let's see how we got that:
Let's define:
p = probability of landing on tails
q = probability of landing on heads.
The probability of getting at least one tails in 3 tosses is 26/27
This means that the probability of not getting tails in the 3 tosses is:
P = 1 - 26/27 = 1/27
And the case where you do not get any tails in the 3 tosses, means that in all the 3 tosses you got heads.
The probability of getting 3 heads in a row is:
P = q^3 = 1/27
Solving for q, we get:
q = ∛(1/27) = 1/3
Now we want to express q = M/N = 1/3
then we have:
M = 1
N = 3
Now we want to compute M + N = 1 + 3 = 4
If you want to learn more about probability, you can read:
brainly.com/question/24369877
Answer:
x > ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
Step-by-step explanation:
![\frac{5(9-x)}{3+1}](https://tex.z-dn.net/?f=%5Cfrac%7B5%289-x%29%7D%7B3%2B1%7D%3C11)
Add 3 and 1 to get 4.
![\frac{5(9-x)}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%289-x%29%7D%7B4%7D%3C11)
Use the distributive property to multiply 5 by 9−x.
![\frac{45-5x}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B45-5x%7D%7B4%7D%3C11)
Subtract 45/5 from both sides.
![-\frac{5}{4}x](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B4%7Dx%3C11-%5Cfrac%7B45%7D%7B4%7D)
Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.
![-\frac{5}{4} x](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B4%7D%20x%3C-%5Cfrac%7B1%7D%7B4%7D)
Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.
![x>-\frac{1}{4} (-\frac{4}{5} )](https://tex.z-dn.net/?f=x%3E-%5Cfrac%7B1%7D%7B4%7D%20%28-%5Cfrac%7B4%7D%7B5%7D%20%29)
Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.
![x>\frac{-(-4)}{4 x 5}](https://tex.z-dn.net/?f=x%3E%5Cfrac%7B-%28-4%29%7D%7B4%20x%205%7D)
![x>\frac{1}{5}](https://tex.z-dn.net/?f=x%3E%5Cfrac%7B1%7D%7B5%7D)