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Mathematics
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Introductory and Intermediate Algebra Study Set 1
Quiz 7: Rational Expressions and Equations
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Question 181
Multiple Choice
Solve. -The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 6 amperes when the resistance is 646 ohms. What is the current when the resistance is 884 ohms? Round to the Nearest hundredths when necessary.
Question 182
Multiple Choice
Solve. -The amount of tread left on a tire varies inversely as the number of miles the tire has traveled. A tire that has traveled 34,000 mi has
in of tread left. How much tread will be left on a tire that has traveled 13,000 mi? Express the answer as a fraction in simplest form.
Question 183
Multiple Choice
Find an equation of variation in which the following are true. -x varies inversely as
, and x = 7 when y = 15.
Question 184
Multiple Choice
Solve. -It takes 9 hours for 8 people to paint a house. How long will it take 2 people to do the job?
Question 185
Multiple Choice
Solve. -The volume V of a gas varies inversely as the pressure P on it. The volume of a gas is 180
under a pressure of 18
What will be its volume under a pressure of 30
?
Question 186
Multiple Choice
Solve. -The gravitational attraction A between two masses varies inversely as the square of the distance between them. The force of attraction is 9 lb when the masses are 2 ft apart, what is the attraction when the masses are 6 ft Apart?
Question 187
Multiple Choice
Solve. -The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 60 seconds are required to make a 3-by-5 enlargement, find the time required for a 5-by-8 Enlargement.
Question 188
Multiple Choice
Solve. -The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 580 kg. How many kilograms can a 5-m beam support?
Question 189
Multiple Choice
Find an equation of variation in which the following are true. -y varies directly as the square of x, and y = 5.6 when x = 4.
Question 190
Multiple Choice
Find an equation of variation in which y varies inversely as x and the following is true. -y = 0.75, when x = 24
Question 191
Multiple Choice
Find an equation of variation in which y varies inversely as x and the following is true. -y = 0.6, when x = 0.2
Question 192
Multiple Choice
Find an equation of variation in which y varies inversely as x and the following is true. -y = 7.25, when x = 0.52
Question 193
Multiple Choice
Find an equation of variation in which y varies inversely as x and the following is true. -y = 21, when x = 3
Question 194
Multiple Choice
Solve. -The pitch P of a musical tone varies inversely as its wavelength W. One tone has a pitch of 482 vibrations per second and a wavelength of 12 ft. Find the wavelength of another tone that has a pitch of 348 vibrations per Second. Round to the nearest hundredths when necessary.
Question 195
Multiple Choice
Find an equation of variation in which y varies inversely as x and the following is true. -y = 10, when x = 19
Question 196
Multiple Choice
Solve. -The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 4 cm on a side is 192 g, find the weight of the liquid in a cubical container 3 cm on a side.