Let x be the number of months.
The first plan is 15 dollars sign up fee and 38 dollars per month. So the equation is 38x + 15.
The second plan is 78 dollars as sign up fee and 31 dollars per month. So the equation is 31x + 78.
We need find when x has the same value in both equations, so we do their equality:
38x + 15 = 31x + 78
Let's subtract 15 from both sides
38x + 15 = 31x + 78
38x + 15 - 15 = 31x + 78 - 15
38x = 31x + 63
Now let's subtract 31x from both sides to have the variables on a side and the numbers on side:
38x = 31x + 63
38x - 31x = 31x - 31x + 63
7x = 63
Divide both sides by 7 to have the variable x on a side and its value on the other:
(7x)/7 = 63/7
x = 9
So at month 9, the 2 plans will cost the same.
Let's check our answers, and let y be the cost:
y = 38x + 15 = 38*9 + 15 = 357
y = 31x + 78 = 31*9 + 78 = 357
Our answer has been approved.
Hope this helps! :D
Answer:
0.0083 = 0.83% probability that the boys will stand in alphabetical order from left to right in the picture
Step-by-step explanation:
Probability:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
Arrangments of x elements:
The total number of arrangments of x elements is given by:

Desired outcomes:
Standing in alphabetical order, so only 1 possible outcome, which means that 
Total outcomes:
Arrangments of 5 people, so

Probability:

0.0083 = 0.83% probability that the boys will stand in alphabetical order from left to right in the picture
To find the slope you need to find the "rise" and the "run".The rise would be 4 and the run would be 1.Then you need to put the rise over run so your answer should look like this 4/1.
The easiest way to solve this is to write the words mathematically. You're told that the product of 4 and a number, b = 3/5.
That means:
4b (product of 4 and b) =

To solve for b, you want to divide both sides by 4 to get the b by itself on the left of the equation:

----
Answer: b = 3/20
Answer:
What’s the answer?!? Ok
Step-by-step explanation: