What is the x-coordinate of the solution to the system of linear equations? 4x+5y=8
2x-3y=-18

Multiply −2x(6x^4−7x^2+x−5) express the answer in standard form. enter your answer in the box.

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.