1) kathi can choose 1 snack from the box containing 6 different granola bars, 4 different kinds of fruit, and 2 different kinds of chips. how many ways can kathi choose a snack? a. 26 b. 20 c. 12 2) how many combinations of 6 students can a teacher choose from 30 students. a. 180 b. 657,720 c. 593,775 3) troy can order a large or small snow cone. there are 16 flavors and 2 toppings from which to choose. how many ways can troy order a snow cone? a.120 b.64 c.32 4) a cooking club has 10 members. how many ways can they select a president and vice president from among the members. a. 180 b. 100 c. 90 5) what is the value of 7p2? a. 42 b. 21 c. 14 6) what is the value of 12c3? a. 220 b. 495 c. 792

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

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: