Answer: 40 centimeters is 15.748 inches.
Step-by-step explanation:
To start things off, a centimeter is equal to about 39.37 inches. If you want to know how to multiply a centimeter to get an inch, just multiply the quanity in centimeter by 0.39370078740157 or into smaller terms, 39.37. By doing so, you will get the answer, 15.748 inches by multiplying by centimeters.
Let x = # of tickets sold in advance
Let y = # of tickets sold the day of
Cost of the tickets & total sales: 6x & 10y = 6828
You also know y = x + 206
Take the equation mentioned above y = x + 206 and sub it in anywhere the variable y is in the other equations so you'll have this:
6x + 10(x+206) = 6828
Now solve for x to get x = 298
To finish the problem, you must now find the number of y tickets sold.
Sub your x value that you found back into the equation y = x + 206 and you'll get y = 504.
So, 298 tickets were sold in advance and 504 tickets were sold the day of
The minimum number of train cars needed is 8 because 112 multiplied by 8 is 896 which means 7 trains will be full and the last one will only carry 108 crates
Answer: 167
Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.
Since we want to determine the 76th term, we are going
to substitute 76 in for <em>n</em> in our explicit formula.
Then, 
will be our first term in our sequence which is 17.
Lastly, <em>d</em> is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.
So we have 
.
Now we have all the information we need. Just simplify from here.
Make sure to apply order of operations because this is where many
students make mistakes. Inside the parentheses first!
(76 - 1) is going to be 75.
So we have 
.
Then, we have to make sure we multiply before we add.
So (75)(2) is going to give us 150.
So we have 
.
Now just add to find that 
.
So the 76th term is 167.
