Set up each situation and simplify if possible. then, choose all situations that are best modeled by a rational inequality. the miles driven in a car going 65 miles per hour for t hours is greater than 250 miles. the width of a rectangle with a length of and an area of must be greater than zero. the length of a rectangle with an area of and a width of is 10 units. the quotient of and is five or less. the sales, s, of a new video game for the day after its release is given by . the daily sales is more than $1,000.

Point a is located at (0, 4), and point c is located at (−3, 5). find the x value for the point b that is located one fourth the distance from point a to point c. −0.25 −0.5 −0.75 −1

Jace wrote a sentence as an equation. 56 is 14 more than a number. 14+ = 56 which statement best describes jace's work? jace is not correct. the phrase more than suggests using the symbol > and jace did not use that symbol. jace is not correct. he was correct to use addition, but the equation should be 56+ p = 14 jace is not correct. the first number in the sentence is 56, so the equation should start with 56. jace is correct. the phrase more than suggests addition, so jace showed that 14 plus a variable equals 56. o

Avery’s piggy bank has 300 nickels, 450 pennies, and 150 dimes. she randomly picks three coins. each time she picks a coin, she makes a note of it and puts it back into the piggy bank before picking the next coin.