The total cost of a pair of skates and kneepads
is $63. The scates cost $45. Write an equation to
describe this scenario. When you are done, use mental math to give me the value of the variable.

The cost of the knee pad is $18.

Step-by-step explanation:

It is given that,

The total cost of a skates and knee pads  is $63.

Therefore, Total cost = cost of skates + cost of knee pads.

We know that, the cost of the skates is $45.

To find the cost of the knee pads :

Let 'x' be the cost of the knee pads.

The equation is framed with the variable 'x' that gives the cost of the knee pad.

The equation is 63 = 45 + x.

To find the value of x :

The first step is to subtract 45 from both sides of the equation.

⇒ 63-45 = 45+x-45

⇒ 18 = x

⇒ x = 18 dollars.

The cost of the knee pad is $18.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

answer: ur v dumb

step-by-step explanation: