Questions in mathematics

Questions in mathematics

[Done] Sian bought a TV in the January sales, which had been reduced by 20%.

[Done] A 12-gallon tub has a faucet that lets water in at a rate of 3 gallons per minute and a drain that lets water out at a rate of 1.5 gallons per minute. If you start with 3 gallons of water in the tub, how long will it take to fill the tub completely?

[Done] If a man travels \( p \) hours at an average rate of \( q \) miles per hour, and then \( r \) hours at an average rate of \( s \) miles per hour, what is his overall average rate of speed?

[Done] A total of 120,000 votes were cast for two opposing candidates, Garcia and Pérez. If Garcia won by a ratio of 5 to 3, what was the number of votes cast for Pérez?

[Done] The first number in a multiplication problem is called the ____.

[Done] Solve algebraically for x: \[ \log_{27} (2x - 1) = \frac{4}{3} \]

[Done] The perimeter of a square field is 272 yards. How long is each side?

[Done] Six diminished by twice a number is ten. What is the number?

[Done] Two less than two-thirds of a number is ten.

[Done] The manual for your boat engine calls for 91 octane gas. The gas stations by your house only sell 87 and 93 octane. If the boat's tank holds 30 gallons, how many gallons of each should you buy for a 91 octane mix?