Filling a Tank: Two pipes can fill a tank in 8 min if both are turned on. If only one is used it would take 30 minutes longer for the smalle pipe to fill the tank than the larger pipe. How long will it take the smaller pipe to fill the tank?

Q: Lisa read 2/5 of a book in the morning and 12 pages more than 1/3 of the remainder in the afternoon.…

A:

Q: 11,000 dollars is invested into two account, one at 8% and the other at 4.5%. How much must be…

A: Let amount invested in 1st account = $ x Amount invested in 2nd account = $ (11000-x) Interest on…

Q: It takes Diane 3 hours to process a job. At this rate, how many jobs can she process in t hours? t+3…

A: so , we will choice correct option.

Q: Barbara works 2 1/2 fewer hours per week than Sharon. Together they work 77 1/2 hours per week. How…

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Q: Andrew can paint the neighbors house 5 times as fast as Bailey. The year Andrew and Bailey worked…

A: We have to find the number of days Andrew and Bailey will take individually to paint the house. Let…

Q: You are taking an 800-mg dose of an antibiotic every 8 hours. Your body eliminates 50% of the drug…

A:

Q: Danny has 2/3 as many toy cars as Jack. They have a total of 75 toy cars. How many toy cars does…

A:

Q: A swimming pool holds 12,500 gallons of water at the start of the day. A valve at the bottom of the…

A:

Q: Michael can paint 1/2 of a room every 1/3 of an hour. How many rooms can Michael paint in 1 hour?

A: Given: Michael can paint 1/2 of a room every 1/3 of an hour.

Q: A new machine makes 5000 aluminum cans three times faster than an older machine. With both machines…

A:

Q: it took Everett three and a half hours to drive from his home to the college he was visiting. How…

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Q: Snow is falling steadily in Syracuse, NY. After 2 hours, 4 inches of snow has fallen. If it…

A: It is given that in 2 hours 4 inches of snow has fallen.

Q: For some people, brisk walking is about 120 steps per minute. How many steps is that per second?

A: Speed of brisk walking is about 120 steps per minute

Q: It takes One pinter, working alone, 8h longer to print a payroll than it takes a second printer.…

A: Let the task of printing the payroll be W. Printing speed of slower printer be x per hours.…

Q: Brian and Rachel both heated some muffins. Brian put his muffins in the muffins in the microwave for…

A: We compare both by converting both times to seconds. Brian's muffins took 30 seconds to heat in the…

Q: It takes Paul and Oscar 6 hours to set up an auditorium for a concert. Oscar has more experience and…

A:

Q: Josh live 1 4/5 miles from the park. So far he walked 2/3 of the distance from his house to the…

A: Here we have to find out the how many distance josh walk

Q: Solve the problem. Twice the water flow in the hot-water pipe is the same as three times the flow in…

A:

Q: A bacteria triples its original population in 18 hours  (A = 3A0).  How many times larger than the…

A: Let the population of bacteria at time t is given by:  A(t)Intial population of bacteria is:…

Q: y car can travel 150 miles with a full gas tank. Now the deposit has 2/6 of the total. How many…

A: We can cover a total of 150 miles with full tank, miles in kilometer = 150×1.6=240 kilometers Now,…

Q: On average, it takes a chicken 30 days to produce 24 eggs.  At this rate, how many days does it take…

A:

Q: he number of days it takes a theater crew to set up a stage for a musical varies inversely as the…

A: The number of days it takes a theater crew to set up a stage for a musical varies inversely as the…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.