You start with: (assuming x equals the cost to enter and y the cost of going on the rollercoasters.)
x+5y=35
x+11y=59. Multiply the top equation by -1, and subtract the equations, giving you -6y=-24, divide by -6 into both sides of the equation, to get y=4. Now replace y in one of the original equations (I recommend x+5y=35) and solve for x, giving you x=15
The cost for entering is 15 dollars, while each coaster is 4 dollars more. You could simplify this by changing y into x and making it slope-intercept form, to track your cost. y=4x+15, so it has a slope of 4, and a y-intercept of 15. This answer should give you a good grade on a test.
Answer:

Step-by-step explanation:

By definition, if
is the least upper bound of the set
, it means two thing:
In other words, the least upper bound of a set is greater than or equal to every single element of the set, but it is "close enough" to the elements of the set, because you guaranteed to find elements in the set between
and 
For example, pick
. Obvisouly, the least upper bound is
. In fact, every number in
is smaller than 10, but as soon as you take away something from 10, say 0.01, you get 9.99, and there are elements in
greater than 9.99, say 9.9999.
So, the claim is basically proven by definition: if
, let
. By definition, there exists
.
So first we calculate the weekly hours:
23.80 x 34 = 809.20
Then we calculate the time and half:
23.80 x 6 x 1.5 = 214.2
Then we total then together:
214.2 + 809.20 = 1023.40