Answer:

Step-by-step explanation:
Let the office charge = x
Amount paid by Medicare = ⅞x
Amount paid by Ross = ¼(⅞x) = $262.50
Solve for x

Check:

OK.
Answer:
(30) = 4
Step-by-step explanation:
g(x) = 8x -2
Let g(x) = y
y = 8x -2 (note: y is the range and x is the domain, we need to rearrange to make x the range and y the domain instead)
y + 2 = 8x
x = (1/8) (y + 2)
hence the inverse of g(x) is
(y) = (1/8) (y + 2)
(30) = (1/8) (30 + 2) = 4
Answer:
67-63x
Step-by-step explanation:
1.65
You can substitute in the values of p, n and e to get the equation:
5700 = 4000c - 900
add 900 to both sides and you get
6600 = 4000c
divide both sides by 4000 and you get
1.65 = c
so the answer is 1.65
9514 1404 393
Answer:
p = 3x+10
Step-by-step explanation:
The attached diagram pretty much explains it.
The unknown dimension at the top was the subject of a previous problem. It is the difference in length between the two marked horizontal segments:
(2x +15) -(x) = x +15 . . . . . length of unmarked solid horizontal line
Similarly, the length of the unmarked vertical line on the right is the difference between the marked vertical lines:
(2x -5) -(x -5) = x . . . . . length of unmarked solid vertical line
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The formula for the area of a rectangle is used to find the areas of the left-side and right-side rectangles. Respectively, those areas are ...
left-side area = x(2x -5)
right-side area = x(x +15)
Then the total area enclosed by the solid line is ...
x(2x -5) +x(x +15) = x(2x -5 +x +15) = x(3x +10)
__
The area of the lot extension is the product of its dimensions:
extension area = x·p
We want this to be the same as the area in the solid line, so ...
x·p = x·(3x +10)
Dividing by the coefficient of p (which is x), we have ...
p = 3x +10