Let the amount Kevin earns be represented with K
Let the amount Jason earns be represented with J
Jason earns $32.50 less than twice Keyin earns can be represented by
J = K - 32.5 ----- equation 1
Jason earns $ 212.5
J = 212.5 ----- equation 2
From equation 1, we can write the equation to solve for what Kevin earns
J = K - 32.5
Making K the subject of the formula
K = J + 32.5
Putting J = 212.5 into the equation above
K= $ 212.5 + $ 32.5
K = $ 245
Kevin earns $245
Answer:
<h2>= 1.268</h2>
Step-by-step explanation:
= (3 + √3) (2 - √3)
= 6 - 3√3 + 2√3 - 3
= 3 - 3√3 + 2√3
= 3 - √3 (3 - 2)
= 3 - √3
= 3 - 1.732 ...... (√3 = 1.732)
= 1.268
Answer:
He initially has $50 on his card.
For each night that he goes to play, $10 are discounted from the card, then if he went x nights to play, the amount of money that there is in the card is:
b(x) = $50 - $10*x
Now, notice that x must be a whole number because this measures the number of nights that he went to play, and we can not have rational numbers to describe this.
Then the domain of this function will be discrete (and this implies that the range must also be discrete)
Where the possible values of x are:
{0, 1, 2, 3, 4, 5}
(after x = 5, there is no more money in the card)
And the possible values of b(x) are:
{$0, $10, $20, $30, $40, $50}
Geometry (like any other branch of math) starts from a set of statements that we assume to be true, which we call axioms.
Then, we declare some rules that allow us to deduce true things from true things. For example, syllogism is one of this rules. So, if we know that 
is true, and it is also true that 
, then we're allowed to deduce that 
is true as well.
So, the purpose of a proof is to show that a certain statement is true.
In its structure, you'll always start from some true facts, and you'll deduce new true facts by using allowed deductive methods.
