Inc Ricardo and Lidia own a small bakery that makes fresh cookies daily. They bake two
kinds of cookies -- plain cookies and cookies with icing. The cookies are sold by the
box. Ricardo and Lidia are confident they can sell all the cookies they make. One box
of plain cookies requires 1.2 pounds of cookie dough. One box of iced cookies
requires 0.9 pounds of cookie dough. Ricardo and Lidia have 72 pounds of cookie
dough. Plain cookies require no icing. One box of iced cookies requires 0.4 pound of
icing. Ricardo and Lidia have 20 pounds of icing. One box of plain cookies requires
about 0.10 hour to prepare. One box of iced cookies requires about 0.15 hour to
prepare. Ricardo and Lidia have 9 hours for preparation. Suppose the profit on each
box of plain cookies is $3.00, and the profit on each box of iced cookies is $4.00. How
many boxes of each kind of cookie should Ricardo and Lidia make to maximize profit?

What expression is equivalent to 42x-56y

What is the value of x in the following equation? -3x-2=2x+8

Airplane speeds are measured in three different ways: (1) indicated speed, (2) true speed, and (3) ground speed. the indicated airspeed is the airspeed given by an instrument called an airspeed indicator. a plane’s indicated airspeed is different from its true airspeed because the indicator is affected by temperature changes and different altitudes of air pressure. the true airspeed is the speed of the airplane relative to the wind. ground speed is the speed of the airplane relative to the ground. for example, a plane flying at a true airspeed of 150 knots into a headwind of 25 knots will have a ground speed of 125 knots. the problems below refer to static and dynamic pressure. static pressure is used when a body is in motion or at rest at a constant speed and direction. dynamic pressure is used when a body in motion changes speed or direction or both. a gauge compares these pressures, giving pilots an indicated airspeed. in problem #s 1 and 2, use the following information. the indicated airspeed s (in knots) of an airplane is given by an airspeed indicator that measures the difference p (in inches of mercury) between the static and dynamic pressures. the relationship between s and p can be modeled by s=136.4p√+4.5. 1. find the differential pressure when the indicated airspeed is 157 knots. 2. find the change in the differential pressure of an airplane that was traveling at 218 knots and slowed down to195 knots. in problem #s 3 and 4, use the following information. the true airspeed t (in knots) of an airplane can be modeled by t=(1+a50,000) ⋅ s, where a is the altitude (in feet) and s is the indicated airspeed (in knots). 3. write the equation for true airspeed t in terms of altitude and differential pressure p. 4. a plane is flying with a true airspeed of 280 knots at an altitude of 20,000 feet. estimate the differential pressure. explain why you think your estimate is correct.