Assuming this problem is a simplification problem, the best way to simplify a problem like this would be to combine the fractions. to combine fractions with different denominators, even with variables, would be to multiply and get equal denominators, and then simplify. To get equal fractions we simply multiply the 2nd denominator on both sides in the 1st and vice versa. In this case for the top we have 1/(z-4) and 2/(z+8), so then we multiply the denominators and get (z+8)/(z-4)(z+8) and 2(z-4)/(z-4)(z+8). To get the final numerator then we first multiply out the 2 and get 2z-8 on the right, then combine the two fractions by adding them, and get 3z/(z-4)(z+8). For the denominator we repeat the same process. We multiply the denominators to get 4(z-6)/(z+8)(z-6) and 3(z+8)/(z-6)(z+8) we simplify the numerators by multiplying the 4 and 3 to get 4z-24 and 3z+24, and then subtract. We then get 4z-24-3z-24 and so z-48 and (z-48)/(z-6)(z+8). So now we have 3z/(z-4)(z+8) for a numerator and (z-48)/(z-6)(z+8) as a denominator. we can multiply z-8 on both sides of the final fraction to cancel out the z-8, and so get 3z/(z-4)/(z-48)/(z-6). As you can no longer simplify anything this is your final fraction.
16, first you need to add on the four he lost to the 18 he ended with.
Answer:
Step-by-step explanation:
The point slope form of the equation of a line is given as:
The slope-intercept form of the equation of a line is given as:
where: m=slope, b=y-intercept.
To convert from the point slope form to slope intercept form, follow these steps:
Step 1: Distribute the right hand side
Step 2: Isolate the y variable
This is the slope-intercept form. We can evaluate 
Answer:
15 gallons
Step-by-step explanation:
Given that:
Pumping rate is modeled by the equation :
Q(t)=45-t gallons per minute ; where t is in minutes
Number of gallons in tank after 30 minutes ;
Q(t)=45-t
Q(30) = 45 - 30
Q(30) = 15
Hence, Number of gallons in tank after 30 minutes is 15 gallons
Given:
Total time spent in water park = 12.5 hours
He spent about 30% of the time waiting in line.
To find:
The reasonable amount of time he spent in line.
Solution:
According to the question,
Amount of time he spent in line = 30% of total time
Therefore, the reasonable amount of time he spent in line is 3.75 hours.
