Here is an example... ( look at the attachment bellow ) :
Answer:
Step-by-step explanation:
Let x represent the numerator and y represent the denominator.
The numerator of a rational number is greater than its denominator by 3. It means that
x = y + 3
If the new number becomes 13/4 when the numerator is tripled and the denominator is decreased by 23, it means that
3x/(y - 23) = 13/4
Cross multiplying, it becomes
3x × 4 = 13(y - 23)
12x = 13y - 299- - - - - - - - - - -1
Substituting x = y + 3 into equation 1, it becomes
12(y + 3) = 13y - 299
12y + 36 = 13y - 299
13y - 12y = 36 + 299
y = 335
x = y + 3 = 335 + 3
x = 338
The original number is 338/335
Answer:
-10y + 18 = -3 (5y - 7) + 5y
-10y + 18 = -18y + 21 + 5y
-10y + 18 = -13y + 21
Step-by-step explanation:
-10y + 18 = -3 (5y - 7) + 5y
-10y + 18 = -18y + 21 + 5y
-10y + 18 = -13y + 21
So, you take the equation for y given, y=0.28x+5.92. Then you substitute the values for x in, like so:
y=0.28(2)+5.92=6.42
y=0.28(5)+5.92=7.17
y=0.28(8)+5.92=7.92
So There's your table. Next:
7.88=0.28x+5.92
x=7, so the year when admission was approximately $7.88 is year 7.
Next,
10.04=0.28x+5.92
x=<span>14.7142857143, which rounds to year 15.
I hope this helps!</span>
