Four more than the product of x and y

Prove that the expression (y+8) (y-7) - y (y+1) is negative for any value of y.

At leslie's party 1/4 of the people had long hair. One half of the people at the party were boys, and 1/4 of the girls had short blond hair. None of the boys had long hair.

How do I solve this equation? I get confused because there is a variable on the right side of the equation and I dont know what to do. 5.5-3b=2b-6.25

The perimeter of a rectangle is 72 centimeters. The base is 3 times the height. What are the dimensions of the rectangle? a. h = 9cm, b = 30 cm c. h = 9 cm, b = 27 cm b. h = 19 cm, b = 10 cm d. h = 10 cm, b = 15 cm

Dee has at most $150 to spend on restocking dolls and trains at her toy store. Dolls cost $7.50, and trains cost $5.00. Dee needs no more than 10 trains, and at least 8 dolls. What is the system of inequality to represent this situation?

Let r=.07 be the reserve rate. Which of the following is the money multiplier?

Given: ABC and FGH are right angles; BA||GF; BC ≅ GH Prove: ABC ≅ FGH Step 1: We know that ABC ≅ FGH because all right angles are congruent. Step 2: We know that BAC ≅ GFH because corresponding angles of parallel lines are congruent.

Cooper put some crickets in his lizard's cage. After one day, there were 8 lizards and the lizard had eaten 20% of the crickets he had put in the cage. (In other words there are 80% remaining).

The edges of each tissue box measure 6.5 inches the dimensions of the shipping container are 19.5 inches by 39 inches by 19.5 inches what is the greatest number of tissue boxes that will fit into one shipping container

A train traveled the first 200 miles of its trip at a speed of 50 mph and the next 130 miles at a speed of 65 mph. What was the average speed of the train during the whole trip?