So, if Dylan has x dollars and he bought 3 tickets with them, the tickets were priced at k dollars per ticket. If he bought 5 tickets with the x dollars and saved 12 total dollars, it would be the same as buying the tickets with x-12 dollars, so we have:
So, with this we have:
If we're looking for a number that satisfies these constraints, we can work with modular arithmetic. We have:
So, we can use the chinese remainder theorem here. So, we clearly have x=3k, which means:
So, since we have x=3k, we also have x=3(5j+4)=15j+12.
So, clearly j=0 won't work so we should have j=1. That means our money per ticket for the five tickets is:
And our money per three tickets is:
This is easily verifiable. Three tickets needs 27 dollars and 5 tickets needs 15 dollars, which is 12 less than 27 dollars. So we have our money per three dollar ticket at 6 more than money per five dollar.
Answer:
State sales and income tax
Step-by-step explanation:
He pays income tax based on the $1700 he got when running his own business of selling T-shirt’s he screen prints in his garage and he also needs to pay for the State sales tax on each T-shirt sold to the state that his business is located in.
Hope it will find you well
Answer 1 with Explanation
Obtained from the question, Mario builds a triangular table to fit in a corner of the bedroom with the construction measure of 45,90 and 45 degrees which will be possible. In order to construct any physical object, proper tool are needed for accuracy of the object to built more than one of the similar table. With the help of proper instruments and measurement Mario can easily make a triangular table for his room's corner.
Answer 2 with Explanation
As Mario built the triangular table for the corner to fit his bedroom corner. He make use of the special instrument and tool for the measurement. Indeed, it is possible to construct more than one table with the angles 45,45,90 as each of them will be similar in shape but with different values of x, hence it will differ in sizes in terms of length. The length will differ as per the requirement of Mario's needs.
Substitute -3 for x in the expression
f(x)= 53 - 2x
f(-3)= 53 - 2(-3)
multiply -2 * -3
f(-3)= 53 + 6
add
f(-3)= 59
ANSWER: f(-3)= 59
Hope this helps! :)
