For this case we must simplify the following expression:
![6 (1 + 8n) = - 39 + 3n](https://tex.z-dn.net/?f=6%20%281%20%2B%208n%29%20%3D%20-%2039%20%2B%203n)
We apply distributive property on the left side of the equation:
![6 * 1 + 6 * 8n = -39 + 3n\\6 + 48n = -39 + 3n](https://tex.z-dn.net/?f=6%20%2A%201%20%2B%206%20%2A%208n%20%3D%20-39%20%2B%203n%5C%5C6%20%2B%2048n%20%3D%20-39%20%2B%203n)
We subtract 3n from both sides of the equation:
![6 + 48n-3n = -39\\6 + 45n = -39](https://tex.z-dn.net/?f=6%20%2B%2048n-3n%20%3D%20-39%5C%5C6%20%2B%2045n%20%3D%20-39)
We subtract 6 from both sides of the equation:
![45n = -39-6\\45n = -45](https://tex.z-dn.net/?f=45n%20%3D%20-39-6%5C%5C45n%20%3D%20-45)
We divide between 45 on both sides of the equation:
![n = \frac {-45} {45}\\n = -1](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%20%7B-45%7D%20%7B45%7D%5C%5Cn%20%3D%20-1)
Answer:
![n = -1](https://tex.z-dn.net/?f=n%20%3D%20-1)
9712/42=231.238 should be your answer
Answer:
D
Step-by-step explanation:
We need the numbers of each before we can calculate the probability
Number of even numbers are 50
Number of odd numbers are 50
Number of perfect squares;
1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 and 100
10 perfect squares
Probability of selecting even = probability of selecting odd = 50/100 = 1/2
Probability of selecting a perfect square = 10/100 = 1/10
Thus, the probability of having the draws in the other stated in the question will be;
1/2 * 1/2 * 1/10 = 1/40
Answer: 1.25 times as far
Step-by-step explanation:
This problem requires you to find something called the unit rate.
Getting the unit rate for Car A is very simple, and can be found to be 25mi/gal.
To find the unit rate for Car B, simply look at the second row. Because the car can go 60 miles on 3 gallons of gas, divide both these numbers by 3 to get 20mi/gal.
Then, simply multiply both of these numbers by 11 to get 25 * 11 = 275, and 20 * 11 = 220.
Then, by doing 275/220, you get your answer: 1.25.
Hope it helps :) and let me know if you want me to elaborate.
Answer:
x=15
Step-by-step explanation:
3x+9=2x+24
x=24-9
x=15