Bob's age is 15 years less than half his father's age. in six years his father's age will be eleven years more than triple bob's age. what is his father's age now

the father is 44 years old now

Step-by-step explanation:

Let Bob's present age be represented by x

Let his father's present age be represented by y

Bob's age is 15 years less than half his father's age. This means that

x = y/2 - 15

x + 15 = y/2

y = 2x + 30

y - 2x = 30 - - - - - - - - - -1

In six years his father's age will be eleven years more than triple Bob's age. This means that

y + 6 = 3(x + 6) + 11

y + 6 = 3x + 18 + 11

y - 3x = 18 + 11 - 6

y - 3x = 18 + 11 - 6

y - 3x = 23 - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

x = 7

y = 2x + 30

y = 2×7 + 30

y = 14 + 30

y = 44

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:

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5