Write and solve a system of equation for each problem? Ellen bought new fish for her home aquarium. She bought 4 Turquoise Guppies and 3 Sunburst Tetra GLO Fish and spent a total of $41.73. Danielle bought 3 Turquoise Guppies and 5 Sunburst Tetra GLO Fish for a total of $56.02. How much was one Turquoise Guppy.

The probability that a college student belongs to a health club is 0.3. the probability that a college student lives off-campus is 0.4. the probability that a college student belongs to a health club and lives off-campus is 0.12. find the probability that a college student belongs to a health club or lives off-campus. tip: p(a or b) = p(a) + p(b) - p(a and b) 0.54 0.58 0.70 0.82

Your client has saved $1,860 for a down payment on a house. a government loan program requires a down payment equal to 3% of the loan amount. what is the largest loan amount that your client could receive with this program

Prove sin2a + cos2a - 1 / sin2a + cos2a + 1 = 1 - tana / 1 + cota