Denise wants to burn at least 5000 calories a week though running. Based on her running speed, she estimates that she can burn 550 calories per hour. Write an inequality that represents Denise's goal in terms of the number of hours spent running h. If Denise runs for one half hour each week day and one hour each weekend day, will she meet her goal? Justify your answer.

Determine whether the set of whole numbers is closed under addition. explain why the set is or is not closed. give an example.

Jonathan pays $1.90 per pound for potatoes. he buys 8.3 pounds of potatoes. he determines that he will pay $15.77, before tax, for the potatoes. which best describes the reasonableness of jonathan’s solution? jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product. jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product. jonathan’s answer is reasonable because is 16, and 16 is close to 15.77. jonathan’s answer is unreasonable because is 8, and 8 is not very close to 15.77.

Which of the expressions (on the photo document i inserted) together represent all solutions to the following equation? 8cos(12x)+4=-4 *the answer should be in degrees.* > i would like for someone to explain the process to find the solutions for this.