The ratio of fish to turtles in a pond is 20:3. There are 80 fish in the pond.
How many turtles are in the pond?
A 10
B 14
C 12
D 16

12

Step-by-step explanation:

think of the ratio as a fraction. 20/3 if f is 20 and t is 3 then when f is 80 t should be 12 because 20*4 is 80 and 3*4 is 12

Work Shown:

(# of fish)/(# of turtles) = (# of fish)/(# of turtles)

20/3 = 80/x

20x = 3*80 cross multiply

20x = 240

x = 240/20 divide both sides by 20

x = 12

There are 12 turtles in the pond.

Note how the ratio 80:12 reduces fully to 20:3 after dividing both parts by 4.

45

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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step-by-step explanation: