1. the ratio of the length to the width of a rectangle is 7 to 2. if the perimeter of the rectangle is 54 inches, what are the measures of the length and width of the rectangle?

2. a grocer purchased a 100-pound mixture of the nuts for $515. the mixture contains 70 pounds of peanuts that cost $3.50 per pound. the remaining nuts in the mixture are almonds. what is the cost per pound of the almonds in the mixture?

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable

Select the correct answer from each drop-down menu. the length of a rectangle is 5 inches more than its width. the area of the rectangle is 50 square inches. the quadratic equation that represents this situation is the length of the rectangle is inches.

This is a rational expression because the denominator contains a variable. this is a polynomial with 3 terms. this is a rational expression because the denominator contains a variable. this is a polynomial with 4 terms. this is a rational expression because the denominator contains a variable. this is a polynomial with 4 terms. this is a rational expression because the denominator contains a variable. this is a polynomial with 3 terms. this is a rational expression because the denominator contains a variable. this is a polynomial with 5 terms.