Questions in mathematics

Questions in mathematics

[Free] A riverboat tour begins by going 60 miles upstream against a 5 mph current. Then the boat turns around and returns with the current. What still-water speed should the captain use to complete the tour in 5 hours?

[Free] Joaquin and Serena are looking at the problem \(3x + 1 > 0\). Serena says that the inequality is always true because multiplying a number by three and then adding one to it makes the number greater than zero. Is she right? Explain why or why not.

[Free] Factorize \(x^2 + 6x - 7\).

[Free] Allison has more than 2 but less than 3 hours to spend on her homework. She has work in math, English, and social studies. She plans to spend equal amounts of time studying English and social studies, and to spend twice as much time studying math as she spends studying English. 1. What is the minimum number of minutes she can spend on English homework? 2. What is the maximum number of minutes she can spend on social studies? 3. What is the maximum number of minutes she can devote to math?

[Free] Write 59 sixths as an improper fraction.

[Free] The ratio of 8 hours to 2 days is:

[Free] What is the simplest form of \(\frac{2}{10}\)?

[Free] The price of an item is $4.56, and the tax rate is 8%. Find the tax on the item by multiplying $4.56 by 0.08 and round the product to the nearest cent.

[Free] Write the standard form of 6.45 billion.

[Free] A satellite orbits 50 miles above Earth's atmosphere. An astronaut on the satellite sees the sunrise over Earth. To the nearest mile, what is the distance from the astronaut to the horizon? (Hint: Earth's radius is about 4,000 miles.) Show all work.