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3 years ago

‭0.12109375‬ fraction

Mathematics

2 answers:

emmainna [20.7K]3 years ago

6 0

Answer:

Step-by-step explanation:

0.12109375

= $=\frac{12109375}{100,000,000} \\=\frac{484375}{4,000,000} \\=\frac{19375}{160000} \\=\frac{775}{6400} \\=\frac{31}{256}$

Svetach [21]3 years ago

4 0

Answer:

31/256

Step-by-step explanation:

0.12109375 = 12109375/100000000

= 31/256

Dividing numerator and denominator by 390625.. we have the simplest solution

You can start out by dividing by 5 the numerator and denominator.you would see this division by 5 goes on 8 times

Or you can start out dividing both numerator and denominator by 25, we see this division goes on 4 times

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Intersection point of Y=logx and y=1/2log(x+1)

GalinKa [24]

Answer:

The intersection is $(\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2})$ .

The Problem:

What is the intersection point of $y=\log(x)$ and $y=\frac{1}{2}\log(x+1)$ ?

Step-by-step explanation:

To find the intersection of $y=\log(x)$ and $y=\frac{1}{2}\log(x+1)$ , we will need to find when they have a common point; when their $x$ and $y$ are the same.

Let's start with setting the $y$ 's equal to find those $x$ 's for which the $y$ 's are the same.

$\log(x)=\frac{1}{2}\log(x+1)$

By power rule:

$\log(x)=\log((x+1)^\frac{1}{2})$

Since $\log(u)=\log(v)$ implies $u=v$ :

$x=(x+1)^\frac{1}{2}$

Squaring both sides to get rid of the fraction exponent:

$x^2=x+1$

This is a quadratic equation.

Subtract $(x+1)$ on both sides:

$x^2-(x+1)=0$

$x^2-x-1=0$

Comparing this to $ax^2+bx+c=0$ we see the following:

$a=1$

$b=-1$

$c=-1$

Let's plug them into the quadratic formula:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{1 \pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}$

$x=\frac{1 \pm \sqrt{1+4}}{2}$

$x=\frac{1 \pm \sqrt{5}}{2}$

So we have the solutions to the quadratic equation are:

$x=\frac{1+\sqrt{5}}{2}$ or $x=\frac{1-\sqrt{5}}{2}$ .

The second solution definitely gives at least one of the logarithm equation problems.

Example: $\log(x)$ has problems when $x \le 0$ and so the second solution is a problem.

So the $x$ where the equations intersect is at $x=\frac{1+\sqrt{5}}{2}$ .

Let's find the $y$ -coordinate.

You may use either equation.

I choose $y=\log(x)$ .

$y=\log(\frac{1+\sqrt{5}}{2})$

The intersection is $(\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2})$ .

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2 years ago

Cal is buying T-shirts and shorts. T-shirts cost $12 and shorts cost $25. He plans on spending no more than $160 and wants to bu

Semenov [28]

12t (that's the $12 for a shirt) + 25s (25 dollars for shorts) < (or equal too) 126
The combination cost for the shirts and shorts has to be less than or equal to $126

t + s > (or equal too) 5

The total number of items has to be greater then or equal too or equal to 5

8 0

3 years ago

Solve for x. 2x+3y=20 -2x+y=4

Mama L [17]

Answer:

x = 1

Step-by-step explanation:

-2x + y = 4

y = 2x + 4

2x + 3y = 20

2x + 3(2x + 4) = 20

2x + 6x + 12 = 20

8x + 12 = 20

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3 0

2 years ago

21 x ________ ÷ 3 = 21 *

GrogVix [38]

Answer:

first one: 3

second one: b

third one: 3.2

Step-by-step explanation:

first one:

21 x ________ ÷ 3 = 21

rewrite equation:

21 ÷ 3 x ___ = 21

7 x ___ = 21

(21 / 7 = 3)

7 x 3 = 21

second one:

b x h ÷ h = ___

third one:

876 x 3.2 ÷ ______ = 876

2803.2 ÷ ___ = 876

(2803.2 / 876 = 3.2)

2803.2 x 3.2 = 876

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3 years ago

A man spends 2/5 of his salary on food, 3/10 on his rent and 1/8 on other expenses. What fraction of his salary is still left wi

tino4ka555 [31]

Answer:

$\frac{7}{40}$

Step-by-step explanation:

$1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})$

$1-\frac{33}{40}$

$\frac{7}{40}=0.175$

6 0

3 years ago

Read 2 more answers