We know there are seven days in the week, so: d e = 7 And she trains 27 hours in a week, with d 5 hour days and e 3 hour days: 5d 3e = 27 We are being asked for how many days she trains for 5 hours: d Solve: The number of "5 hour" days is 3 Check: She trains for 5 hours on 3 days a week, so she must train for 3 hours a day on the other 4 days of the week.
3 × 5 hours = 15 hours, plus 4 × 3 hours = 12 hours gives a total of 27 hours So Joel’s normal rate of pay is $12 per hour Check Joel’s normal rate of pay is $12 per hour, so his overtime rate is 1¼ × $12 per hour = $15 per hour.
If the boiling point of water is and the melting point of water is , find the linear functions that convert from one scale to the other.
This problem asks us to find a conversion function that takes a Fahrenheit temperature reading and turns it into a Celsius temperature reading.
First, we'll review a few basic steps that will help you solve word problems.
At this point, the mathematical aspects of word problems shouldn't pose much difficulty for you. This is the critical step: translation of the information that you get from the problem into math. Take the results of step 5 and use the algebra skills you've learned to solve the problem. Look at your final answer and ask yourself if it makes sense.
We will call the smaller integer n, and so the larger integer must be n 2 And we are told the product (what we get after multiplying) is 168, so we know: n(n 2) = 168 We are being asked for the integers Solve: That is a Quadratic Equation, and there are many ways to solve it.
Using the Quadratic Equation Solver we get −14 and 12.
This problem illustrates the process of unit conversion; a year is the same as 525,600 minutes even though 1 ≠ 525,600.
Bill takes a trip in which he drives a third of the time at 30 miles per hour, a third of the time at 50 miles per hour, and a third of the time at 70 miles per hour.