The figure shows the elliptical orbit of mercury, whose minimum distance to the sun is 29 million miles and whose maximum distance to the sun is 43 million miles. according to kepler's laws, the average distance of a planet to the sun is equal to half the length of the orbit's major axis. the average distance of mercury to the sun is million miles. (enter only the number.)

Martin likes to make flower bouquets that have 3 daffodils and 4 tulips per vase. a daffodil has a mass of d grams, a tulip has a mass of t grams, and the vase has a mass of u grams. the expression 5(3d + 4t + v) describes the mass of 5 bouquets. match each amount in the situation with the expression that represents it. situation expression number of bouquets mass of one bouquet mass of the tulips in one bouquet 4t mass of the daffodils in one bouquet 3d + 4t + v

The temperature of chicken soup is 192.7°f. as it cools, the temperature of the soup decreases 2.3°f per minute. what is the temperature in degrees fahrenheit of the soup after 25 minutes? a. 27.3°f b. 57.5°f c. 135.2°f d. 250.2°f

Find the maximum value of p= 4x + 5y subject to the following constraints :