All tick marks are equally spaced on each number line below. Find the unknown value (x) for
each. Be prepared to explain your reasoning.

All tick marks are equally spaced on each number line below Find the unknown value x for each Be prepared to explain your reasoning class=

Respuesta :

By finding the value between consecutive tick marks, we will see that:

1) x = 20

2) x = 48

3) x = 9.5

How to find the values of X?

We know that each tick mark are equally spaced in the number lines below.

If you look at the first one (the already solved one). You can see that between the 4 and the 12 there are 4 ticks. If each tick has a value of T, we must have:

4 + 4*T = 12

4*T = 12 - 4 = 8

T = 8/4 = 2

Each tick values 2 units.

Between the 12 and the x there are 4 ticks, then:

x = 12 + 4*2 = 20

Now let's look at the second number line. There are 10 ticks between 25 and 140, then:

25 + 10*T = 140

10*T = 140 - 25 = 115

T = 115/10 = 11.5

And there are 2 ticks between 25 and the x, so:

x = 25 + 2*T = 25 + 2*11.5 = 48

x = 48.

Now the final number line. There are 8 ticks between 10 and 12, then:

10 + 8*T = 12

8*T = 12 - 10 = 2

T = 2/8 = 1/4 = 0.25

Now, the x is 2 ticks before the 10, then we have:

x = 10 - 2*T = 10 - 2*0.25 = 9.5

If you want to learn more about number lines:

https://brainly.com/question/4727909

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