All categories

2 years ago

How do you make $2.161616 as a fraction and a mixed number

1 answer:

6 0

Essentially, if you want something repeating, you want a 9 in your denominator - 0.22 repeating would be 2/9 or 22/99 and 0.16 repeating would be 16/99. Therefore, 2+16/99 is a mixed number and (198+16)/99=214/99 as a fraction

You might be interested in

- Write a recursive formula to represent the sequence below. (3,7, 11, 15, 19,23,27,31,35, ...)

NemiM [27]

The recursive formula to find nth term of sequence is:

$a_n = 4n - 1 \text{ where } n \geq 1$ and n = 1, 2, 3, ....

Solution:

Given a sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35

Let us find the difference between terms

7 - 3 = 4

11 - 7 = 4

15 - 11 = 4

19 - 15 = 4

23 - 19 = 4

27 - 23 = 4

31 - 27 = 4

35 - 31 = 4

Thus the difference between terms is constant

Thus the given sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

The nth term of arithmetic sequence is given by:

$a_n =a_1+(n-1)d$

$a_n$ = the nᵗʰ term in the sequence

$a_1$ = the first term in the sequence

d = the common difference between terms

Here in the given sequence

d = 4

$a_1=3$

Substitute in above formula,

$a_n = 3 + (n-1)(4)\\\\a_n = 3 + 4n - 4\\\\a_n = 4n - 1$

Thus the recursive formula to find nth term of sequence is:

$a_n = 4n - 1 \text{ where } n \geq 1$ and n = 1, 2, 3, ......

8 0

2 years ago

Write an equation that expresses the following relationship.

stepladder [879]

Answer:

w = $\frac{ku}{d^{2} }$

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Please assist me with these problems

Vinil7 [7]

Part (a)

<h3>Answer: y1 and y3 are perpendicular</h3>

This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.

=====================================================

Part (b)

Graph each line to see where they cross. The three points of intersection are

(0,4)

(2,-2)

(4,2)

The order of the points doesn't matter.

You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.