Questions in Grade High-school

Questions in Grade High-school

[Free] In a given training week, a swimmer completes: - 1/4 mile on day one - 2/5 mile on day two - 3/7 mile on day three How many total miles does the athlete swim in the given week?

[Free] Solve for \( x \): \[ 2\log_a(3) + \log_a(5) = \log_a(x) \]

[Free] What is 3.36 rounded to the nearest hundredth?

[Free] The sum of Alan’s age and Bob’s age is 40. The sum of Bob’s age and Carl’s age is 34. The sum of Alan’s age and Carl’s age is 42. How old is Bob?

[Free] Calculate the average speed of a bicycle that travels 100 m in 20 s.

[Free] A force of 200 N is required to keep an object sliding at a constant speed of 2 m/s across a rough floor. How much power is being expended to maintain this motion?

[Free] Solve the systems of equations word problem. Flying with the wind, a plane went 183 km/h. Flying into the same wind, the plane only went 141 km/h. Find the speed of the plane in still air and the speed of the wind.

[Free] Facts about highwaymen:

[Free] After a large snowstorm, you shovel 2,500 kilograms of snow off of your sidewalk in half an hour. You lift the shovel to an average height of 1.5 meters while you are piling the snow in your yard. a. How much work did you do? (Hint: The force is the weight of the snow.) b. What was your power in watts? (Hint: You must always convert time to seconds when calculating power.)

[Free] If a small machine does 2,500 joules of work on an object to move it a distance of 100 meters in 10 seconds: 1. What is the force needed to do the work? 2. What is the power of the machine doing the work?