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For the following problems, solve the rational equations.
For the following problems, find the solution.
When the same number is subtracted from both terms of the fraction the result is What is the number?
2
When the same number is added to both terms of the fraction the result is What is the number?
When three fourths of a number is added to the reciprocal of the number, the result is What is the number?
No rational solution.
When one third of a number is added to the reciprocal of the number, the result is What is the number?
Person A working alone can complete a job in 9 hours. Person B working alone can complete the same job in 7 hours. How long will it take both people to complete the job working together?
Debbie can complete an algebra assignment in of an hour. Sandi, who plays her radio while working, can complete the same assignment in hours. If Debbie and Sandi work together, how long will it take them to complete the assignment?
An inlet pipe can fill a tank in 6 hours and an outlet pipe can drain the tank in 8 hours. If both pipes are open, how long will it take to fill the tank?
24 hrs
Two pipes can fill a tank in 4 and 5 hours, respectively. How long will it take both pipes to fill the tank?
The pressure due to surface tension in a spherical bubble is given by
where
is the surface tension of the liquid, and
is the radius of the bubble.
(a) Determine the pressure due to surface tension within a soap bubble of radius
inch and surface tension 22.
(b) Determine the radius of a bubble if the pressure due to surface tension is 57.6 and the surface tension is 18.
(a) 176 units of pressure; (b) units of length
The equation
relates an objects distance
from a lens and the image distance
from the lens to the focal length
of the lens.
(a) Determine the focal length of a lens in which an object 8 feet away produces an image 6 feet away.
(b) Determine how far an object is from a lens if the focal length of the lens is 10 inches and the image distance is 10 inches.
(c) Determine how far an object will be from a lens that has a focal length of
cm and the object distance is 3 cm away from the lens.
For the following problems, divide the polynomials.
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