Answer: Original price = $43.10, Increase = $19.40, Final price = $62.50
<u>Step-by-step explanation:</u>
Let x represent the original price, then
8x(1.45) < $500

x < $43.10
Increase is 0.45x
0.45($43.10)
= $19.40
Final price is Original + Increase
$43.10 + $19.40
= $62.50
Answer:
2x + 3t - 4
Step-by-step explanation:
Hi,
To simplify the expression, we must combine like terms. To start, let's combine all of the x-values.
4x + 3t - 2x - 4
When we combine 4x and -2x we get 2x.
2x + 3t - 4
We can't combine anything else. They don't have the same variables and 4 doesn't even have a variable, so 2x + 3t -4 is the simplified expression.
I hope this helps :)
Answer:

Step-by-step explanation:
Given the equation of the circle: 
We wish to express it in a Standard form:
We begin by re-arranging:

Next, divide the coefficient of x by 2, square it and add it to both sides.
Do the same for y.

Next, we factorize

This is the standard form.
Both expressions are related because 12 divided by 4 equals to 3, and 1/4 of 12 equals to 3 too.
Answer: remainder
Step-by-step explanation: