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2 years ago

X + p = q

1 answer:

5 0

X=q-p
What you have to do is to rearrange the formula
x+p=q
All you have to do is to move “+q” to the other side of the formula. Doing so you also have to change the sign from “+” to “-“ so that your equation could be balanced
Hope this helps!!!!

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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

2 years ago

The Oates family went out for dinner the price of the meal was $33.95 the sales tax was 7.25% of the price of the meal . The tip

crimeas [40]

Well you have to go $33.95 x 7.25 and that will be your answer. Do it fast!

8 0

4 years ago

Is 7 1/5 a whole number a integer or a rational number

charle [14.2K]

A RATIONAL NUMBER ! i hope i helped

3 0

3 years ago

Solutions to this equation!!

otez555 [7]

Answer:

w=3/5 or w=-5

Step-by-step explanation:

5w^2+22w=15

5w^2+22w-15=0 (quadratic equation)

a=5, b=22, c=-15

w1,2 =(-b+-sqrt(b^2-4ac))/2a

w1,2 =(-22+-sqrt(22^2-4*5*(-15))/2*5

w1,2 =(-22+-sqrt(484+300))/10

w1,2=(-22+-sqrt(784))/10

w1,2=(-22+-28)/10

w1=(-22+28)/10, w2=(-22-28)/10

w1=6/10, w2=-50/10

w1=3/5, w2=-5

8 0

3 years ago

Do question 9: State if the three sides lengths form a right triangle. (Example on top)

Goryan [66]

Answer:

Step-by-step explanation:

3 0

3 years ago