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3 years ago

3.1 (1 repeating) as a fraction?

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

7 0

So there are a couple of different ways to write it but I find the easiest to be 28/9 or 3 1/9

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HELP PLEASE!! I DONT UNDERSTAND!!!!!!!!!! THANKS SO MUCH

8090 [49]

Hello, please consider the following.

We will multiply the numerator and denominator by

$4+\sqrt{6x}$

to get rid of the root in the denominator.

First of all, we cannot divide by 0, right? So, we need to make sure that the denominator is different from 0.

$4-\sqrt{6x} =0\sqrt{6x}=4\\\\\text{Take the square}\\\\6x=4^2=16\\\\x=\dfrac{16}{6}=\dfrac{8}{3}$

We need to take any x real number different from 8/3 then and simplify the expression.

Let's do it!

$\begin{aligned}\dfrac{4}{4-\sqrt{6x}}&=\dfrac{4(4+\sqrt{6x})}{(4+\sqrt{6x})(4-\sqrt{6x})}\\\\&=\dfrac{4(4+\sqrt{6x})}{(4^2-\sqrt{6x}^2)}\\\\&=\dfrac{4(4+\sqrt{6x})}{(16-6x)}\\\\&=\dfrac{2(4+\sqrt{6x})}{(8-3x)}\\\\&\large \boxed{=\dfrac{8+2\sqrt{6x}}{8-3x}}\end{aligned}$

Thank you

8 0

3 years ago

Avery planned a circular garden and path as shown below. The radius of the garden is 4 feet and the path around the garden is 2

Digiron [165]

Answer:

Option C) 113.0 feet squared

Step-by-step explanation:

We are given the following in the question:

Radius of circular garden = 4 feet

Length of path around garden = 2 feet

We have to find the total area of garden and path.

The garden and path together makes a bigger circle with radius

$R = 4 + 2 = 6\text{ Feet}$

Area of garden and path =

$A = \pi R^2$

Putting values, we get,

$A = 3.14\times (6)^2 = 113.04\\A \approx = 113.0\text{ square feet}$

Thus, the correct answer is

Option C) 113.0 feet squared

8 0

3 years ago

Read 2 more answers

the walls of a square room need pain each of the four walls is 12 ft wide by 8.5 feet tall. One gallon of paint covers 75ft^2. h

Bingel [31]

Answer:

You would need 2 1/2 gallons of paint to finish the room.

Step-by-step explanation:

Step 1: 12 x 8.5

Step 2: you should get 102. Then multiply 102 x 4

Step 3: then divide by 150 (which is the quotent of 75 x 2)

Your finally should be 2.72 :)

8 0

3 years ago

What is the ratio for each one?

blagie [28]

This is complicated because I’m typing on a phone, but
24:30 simplified is 4:5
30:54 simplified is 5:9

10:5 simplified is 2:1
5:15 simplified is 1:3

32:72 simplified is 4:9
72:104 simplified is 9:13

56:7 simplified is 8:1
7:63 simplified is 1:9

8 0

3 years ago

Together, Tom and Max have 72 baseball cards. Tom has 2 more than times as many as Max has. How many baseball cards does Tom hav

Alecsey [184]

The answer will be 144 because if u had 72 × 2 u would get 11

7 0

3 years ago

Read 2 more answers