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3 years ago

-0.183 as a fraction in the simplest form??

2 answers:

8 0

-0.183 = -0.183 / 1

Numerator = -0.183 × 10 × 10 × 10 = -183
Denominator = 1 × 10 × 10 × 10 = 1000

Numerator / Denominator = -183 / 1000

Our simplified fraction is:

= -183/1000

astra-53 [7]3 years ago

7 0

Count how many digits there are,1,2,3,4 that means it's over 1000 now put it on top

-183/1000 You can see you can't simplify it so the answer is that!

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What is the factored form of this expression? 27m^3 +125n^3

ddd [48]

Answer:

$\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)$

Step-by-step explanation:

$27m^3+125n^3=\left(3m\right)^3+\left(5n\right)^3$

Apply sum of cubes formula: $x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)$

$\left(3m\right)^3+\left(5n\right)^3=\left(3m+5n\right)\left(3^2m^2-3m\times 5n+5^2n^2\right)$

$\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)$

5 0

2 years ago

Read 2 more answers

The point (1,5) lies in quadrant II of a rectangular coordinate system

natali 33 [55]

Answer:

Step-by-step explanation:

Complex answer: For a point to be in quadrant II, it must have a negative x value and a positive y value.

Simple answer: The 1 would have to be negative to be in quadrant II, and it isn't

6 0

2 years ago

Arnold records the number of chirps per minute (x) that crickets make

Sauron [17]

Answer:

X=0 the temperatures is 40

Step-by-step explanation:

y=1/4x +40

x=0

y=1/4*0+40

y=0+40

y=40

7 0

2 years ago

The original quantity is 10 and the new quantity is 13. What is the percent change?

Leya [2.2K]

3 is 13 more than 10, and 3 is 30% of 10, so 30% im pretty sure

6 0

2 years ago

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Consider the equality xy k. Write the following inverse proportion: y is inversely proportional to x. When y = 12, x=5.

skelet666 [1.2K]

Answer:

$y=\dfrac {60} {x}$ or $xy=60$ (depending on your teacher's format preference)

Step-by-step explanation:

<h3><u>Proportionality background</u></h3>

Proportionality is sometimes called "variation". (ex. " 'y' varies inversely as 'x' ")

There are two main types of proportionality/variation:

Direct
Inverse.

Every proportionality, regardless of whether it is direct or inverse, will have a constant of proportionality (I'm going to call it "k").

Below are several different examples of both types of proportionality, and how they might be stated in words:

$y=kx$ y is directly proportional to x
$y=kx^2$ y is directly proportional to x squared
$y=kx^3$ y is directly proportional to x cubed
$y=k\sqrt{x}}$ y is directly proportional to the square root of x
$y=\dfrac {k} {x}$ y is inversely proportional to x
$y=\dfrac {k} {x^2}$ y is inversely proportional to x squared

From these examples, we see that two things:

things that are <u>directly proportional</u> -- the thing is <u>multipli</u>ed to the constant of proportionality "k"
things that are <u>inversely proportional</u> -- the thing is <u>divide</u>d from the constant of proportionality "k".

<h3><u>Looking at our question</u></h3>

In our question, y is inversely proportional to x, so the equation we're looking at is the following $y=\dfrac {k} {x}$ .

It isn't yet clear what the constant of proportionality "k" is for this situation, but we are given enough information to solve for it: "When y=12, x=5."

We can substitute this known relationship pair, and find the "k" that relates this pair of numbers:

<h3><u>Solving for k, and finding the general equation</u></h3>

General Inverse variation equation...

$y=\dfrac {k} {x}$

Substituting known values...

$(12)=\dfrac {k} {(5)}$

Multiplying both sides by 5...

$(12)*5= \left ( \dfrac {k} {5} \right ) *5$

Simplifying/arithmetic...

$60=k$

So, for our situation, k=60. So the inverse proportionality relationship equation for this situation is $y=\dfrac {60} {x}$ .

The way your question is phrased, they may prefer the form: $xy=60$

7 0

1 year ago