Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Victor just became a personal trainer and is finalizing his pricing plans. One plan is to charge $91 for the initial consultation and then $88 per session. Another plan is to charge $98 for the consultation and $81 per session. Victor realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that? The cost on either plan is $ for sessions.

The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1387 grams and standard deviation 161 grams. what is the probability that a randomly selected broiler weighs more than 1,425 grams?

The perimeter of a rectangle is 42 inches. if the width of the rectangle is 6 inches, what is the length

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?