The sum of three consecutive even numbers is 132. What are those three numbers? Explain how you found your answer.

43, 44 and 45

Step-by-step explanation:

As it is mentioned consecutive, we can take the numbers as

x, x + 1 and x + 2

so x + (x + 1) + (x + 2) = 132

3x + 3 = 132

3x = 129

x = 43

Other two number are:

x + 1 = 44

x + 2 = 45

The numbers are 43, 44 and 45.

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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answers

rauschg

rauschg · hand

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step-by-step explanation:

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb