Solve the given applied problems involving variation.The time in hours it takes a satellite to complete a circular orbit about the earth varies directly as the radius (from the center of the earth) of the orbit and inversely as the orbital velocity. If a satellite completes an orbit  above the earth in  at a velocity of  how long would it take a satellite to complete an orbit if it is circling 1700 km above the earth at 

src="https://sciemce.com/media/4/ppg__text0424191335__f1q21g4.jpg" alt="" style="vertical-align: -4.0px;" /> (Assume the radius of the earth is 



A. 580 min

B. 120 min

C. 220 min

D. 190 min

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Answer: C

Mathematics

Use the problem-solving strategy for applications of linear equations to solve the application problem.A health food store sells a trail mix for $8 per pound and premium cashews for $15 per pound. The manager wishes to make a 350-pound  mixture that will sell for $9 per pound. How many pounds of each should be used?

A. 175 lb of trail mix 175 lb of cashews B. 200 lb of trail mix 150 lb of cashews C. 50 lb of trail mix 300 lb of cashews D. 300 lb of trail mix 50 lb of cashews

Solve the inequality, then graph the solution.f - 1 < 11

A. (-?, 12)

B. (-?, 12]

C. (12, ?)

D. [12, ?)

A fair apportionment of dividing a leftover piece of cake between two children is to let child #1 cut the cake into two pieces and then to let child #2 pick which piece he or she wants. Consider the following apportionment of dividing the leftover piece of cake among three children. Let the first child cut the cake into two pieces. Then the second child is permitted to cut one of those pieces into two parts. Child #3 can select any of the pieces, followed by child #1 selecting one of the remaining pieces, followed by child #2 who gets the remaining piece. Is this allocation process fair if each child's goal is to maximize the size of his or her own piece of cake? ?

A. Yes B. No

Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation.(0.0095)(0.0000006)(0.001)

A. 5.7 × 10-14 B. 5.7 × 10-12 C. 5.7 × 10-11 D. 5.7 × 10-13