How to change a fraction to a decimal

Given:

Length of the rectangle = [tex]x^3y^4[/tex] inches

Width of the rectangle = [tex]xy^7[/tex] inches

To find:

The ratio of the length of the rectangle to width of the rectangle.

Solution:

We have,

Length = [tex]x^3y^4[/tex] inches

Width = [tex]xy^7[/tex] inches

So, the ratio of the length of the rectangle to width of the rectangle is

[tex]Ratio=\dfrac{Length}{width}[/tex]

[tex]Ratio=\dfrac{x^3y^4}{xy^7}[/tex]

[tex]Ratio=\dfrac{x\times x^2\times y^4}{x\times y^4\times y^3}[/tex]

Cancel out the common factors.

[tex]Ratio=\dfrac{x^2}{y^3}[/tex]

[tex]Ratio=x^2:y^3[/tex]

Therefore, the required ratio is [tex]x^2:y^3[/tex].

how I'm supposed to answer this

Answer:

we need the total pieces

Step-by-step explanation:

how many pieces of the ancient ceramic bowl are there

4 pieces out of what?

we need the total pieces

Answer:

26.

Step-by-step explanation:

Given, BD is a median. As it divides the AC equally, that's why it will AD=CD. Given, AD= 6x+10 and CD= 2x+12

Now, AD=  CD

or, 6x+10=2x+12

or, 6x-2x= 12-10

or, 4x= 2

or, x= 1/2

So the value of x is 1/2. As BD divided AC equally, both AD and CD will be equal and AD+CD= AC.

So, 6x+10+2x+12= AC

or, 8x+22= AC

or, 8 X (1/2) + 22= AC

or, 4+22 = AC

or, AC= 26.=

Answer:

Is it 11.6%?

Step-by-step explanation:

I divided 290/250

Answer:

The second one I believe

9514 1404 393

Answer:

  0 ft

Step-by-step explanation:

The line hangs down 15 feet from the top of each pole, so the distance between them must be zero if the total line length is 30 feet.

Answer: y+1 = 5(x-1)

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Answer:

1.5 i think

Step-by-step explanation:

1/4:2/8 so it would be 1/4 and 1/8 or 1.5

Answer:

[tex]m=\frac{4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (1, -3)

Point (-4, -7)

Step 2: Find slope m

Answer:

1. true 2. true 3.true 4. false 5. false

Step-by-step explanation: 4/4-3/4 is 1/5. You multiply the top first (4-3=1) and the bottom isn't supposed to change. so the answer is 1/4

Answer:

40% as a decimal is 0.4

40% as a fraction is 2/5

Step-by-step explanation:

Let's go over each of these step by step.

First, let's see 40% as a fraction.

Since 40% is out of 100%, we can rewrite that as 40/100.

If you want to simplify it, let's do the following.

40/100

Divide both sides by 20, and you'll end up with:

2/5.

Now, let's do 40% as a decimal.

This is pretty simple.

40% is 40/100 as said before, and to find it as a decimal,

let's divide 40 and 100.

40 divided by 20 = 0.4

Therefore, we can conclude the following:

40% as a fraction is 40/100, or 2/5.

40% as a decimal is 0.4

Hope this helped! :)

Answer:

lies  you wont give brainliest

Step-by-step explanation:

Answer:

no because it fails the vertical line test

Answer:

slope = 7/4

Step-by-step explanation:

slope is found by figuring the change in y-values over the change in x-values.  Look for points on the line that go through an intersection of the graph lines exactly.  I found the points (3, 4) and (-1, -3)

difference of y/difference of x = 4-(-3) / 3-(-1)   =  7/4

Answer:

1/3

Step-by-step explanation:

Rise/run

10/30

I hope this is right and that it helps.

Answer:

0.5, 50%

Step-by-step explanation:

Answer:

I hope this helps!

Answer: 73.5

first you work out the total area of this shape.

area: 105

this mean you can start working out the non-shaded area to do this you need to multiply 7cm with 6cm which is 42cm then you divide by 2 to get 21cm.

then to work ou the other non-shaded area in the left you multiply 3cm and 7cm together getting 21cm you then divide it and you get 10.5.

you then add 10.5cm and 21cm together to get 31.5cm, subtract that answer with the total area which gets the answer 73.5!

Answer:

0.26

is the answer

Answer:5h

Step-by-step explanation: i just did the quiz

Answer:

30 girls, 20 boys

Step-by-step explanation:

in the tape diagram, we see a ration of 3:2 girls:boys

To solve, make it an equation`

3x+2x=50

5x=50

x=10

Then you multiply by 3 and 2 to get 30 and 20

Answer:

20:30

Step-by-step explanation:

50 divided into five is ten. There are exactly five boxes that make up ten kids for each box. There boxes are 30 kids in three boxes while two boxes are 20 kids and if you put all of that together it makes a total of 50 kids.

Answer:

83.100559

Step-by-step explanation:

0.179x=14.857

x=14.857/0.179

x=83.100559

Answer:

c. although the chances of some big gains increase, the chances for some big losses also increase.

Step-by-step explanation:

In the Martin Products, there is a probability that the investment could either succeed or fail. The standard deviation of the outcome carried out to determine the risks involved in investing in his products helps in trying to offer the investors the clearer picture of the risks involved.

Answer:

d. all the reasons above

Answer:

(6,0)

Step-by-step explanation:

Answer:

Shorter piece: 23 inches

Longer piece: 92 inches.

Step-by-step explanation:

Since the longer piece is four times the length of the other, we multiply 23*4 and we get 92 inches.

yes it is, 700 is greater than 10.

The correct equations in the question are:

(a) [tex]\dfrac{x}{x^2+x-2}[/tex]   (b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]

Answer:

Step-by-step explanation:

From above:

a) [tex]\dfrac{x}{x^2+x-2}[/tex]  

We are to find the roots of the quadratic equation at the denominator.

i.e.

x²+x-2 =  x² + 2x - x - 2

= x(x+2) - 1(x+2)

= (x -1 ) (x + 2)

Thus;

[tex]\mathbf{\dfrac{x}{x^2+x-2} = \dfrac{A}{x-1} + \dfrac{B}{x+2}}[/tex]

b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]

The quadratic equation roots can be calculated by finding two numbers that if we multiply then, we will get -54 and if we add or subtract them, we will get -3

x²-3x -54 =  x² - 9x +6x - 54

=  x(x-9) + 6(x-9)

= (x + 6) (x - 9)

[tex]\mathbf{\dfrac{6-x}{x^2-3x-54} = \dfrac{A}{x+6} + \dfrac{B}{x-9}}[/tex]