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Anna [14]
2 years ago
12

Will mark brain list if answer

Mathematics
1 answer:
Natali5045456 [20]2 years ago
7 0

The fractional form of the rational number 0.1515... is:

15/99

<h3>How to write 0.1515... as the quotient of two integer numbers?</h3>

I will do all the steps, not only the one in the picture.

First, we identify that we have a number where the decimals do a repeating pattern.

That number in our case is 0.1515...

That repeating pattern is "15".

First we need to identify the number of digits in the pattern, and we can see that is 2, thus we define n = 2

Now we multiply our number by 10^n (10^2 in this case).

0.1515...*10^2 = 0.1515...*100 = 15.1515...

Notice that we still have the pattern, so we can subtract the original number to remove it:

15.1515... - 0.1515... = 15

Ok, now we can rewrite the left side as:

15.1515... - 0.1515... = 100*0.1515... - 0.1515...

= (100 - 1)*0.1515... = 99*0.1515...

And we know that is equal to 15, then we can write:

99*0.1515... = 15

If we isolate the original number in the left side we will get:

0.1515... = 15/99

That is the fractional form of the rational number.

If you want to learn more about rational numbers:

brainly.com/question/12088221

#SPJ1

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Three fourths a number plus 8 is 20 less than the number
VARVARA [1.3K]

Answer:

Equation:  \frac{3}{4}n+8=n-20

Solve for n:  n = 112

Step-by-step explanation:

To first set up the equation, you need to look at the verbal description and translate into numbers and operations:

'three fourths a number' =  \frac{3}{4} n

'plus 8' = + 8

'is' =

'20 less' = - 20

'the number' = n

Put the expressions together:

'three fourths a number plus 8':  \frac{3}{4}n+8

'20 less than the number': n - 20

Set them equal to each other and solve: \frac{3}{4}n+8=n-20

Add 20 to both sides: \frac{3}{4}n+8+20=n-20+20

Subtract \frac{3}{4}n from both sides: \frac{3}{4}n-\frac{3}{4}n+28=n-\frac{3}{4}n

Multiply both sides by \frac{4}{1}: \frac{4}{1}28=\frac{1}{4}n\frac{4}{1}

Solve for n:  n = 112

7 0
3 years ago
A pizza place charges $5.00 for a cheese pizza and $1.75 for each additional topping. Which equation models the total price of a
inysia [295]

Answer:

C

Step-by-step explanation: This is c because 1.75 t is right because they don't know how many toppings you are going to put on but they do know how much you will automatically have to pay for the pizza itself. That is why it is 1.75t(toppings) plus the 5 dollars for pizza.

Hope this helps!

4 0
3 years ago
-7.5x + 0.25 = -5.75 <br> The value of x is =
VashaNatasha [74]

Answer:

x = 4/5

I hope this helps!

3 0
2 years ago
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Write the quadratic equation that has roots -1-rt2/3 and -1+rt2/3 if its coefficient with x^2 is equal to 1
weeeeeb [17]

The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9

<h3>How to determine the quadratic equation?</h3>

From the question, the given parameters are:

Roots = (-1 - √2)/3 and (-1 + √2)/3

The quadratic equation is then calculated as

f(x) = The products of (x - roots)

Substitute the known values in the above equation

So, we have the following equation

f(x) = (x - \frac{-1-\sqrt{2}}{3})(x - \frac{-1+\sqrt{2}}{3})

This gives

f(x) = (x + \frac{1+\sqrt{2}}{3})(x + \frac{1-\sqrt{2}}{3})

Evaluate the products

f(x) = (x^2 + \frac{1+\sqrt{2}}{3}x + \frac{1-\sqrt{2}}{3}x + (\frac{1-\sqrt{2}}{3})(\frac{1+\sqrt{2}}{3})

Evaluate the like terms

f(x) = x^2 + \frac{2}{3}x - \frac{1}{9}

So, we have

f(x) = x²+ 2/3x - 1/9

Read more about quadratic equations at

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7 0
1 year ago
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VashaNatasha [74]

Answer:

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Step-by-step explanation:

factorize both of them.

8 0
3 years ago
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