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3 years ago

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction

1 answer:

4 0

$\frac{7}{24}$ ÷ $\frac{35}{48}$
Multiply $\frac{7}{24}$ by the reciprocal of $\frac{35}{48}$ , which is $\frac{48}{35}$

= $\frac{7}{24}$ × $\frac{48}{35}$
= $\frac{336}{840}$

We can simplify it further:
The greatest common factor here is 168
$\frac{336/168}{840/168}$

= $\frac{2}{5}$

You might be interested in

Which ratios form a proportion.?<br> A)3/15,12/55<br> B)8/24,12/35<br> C)5/18,25/90<br> D)4/11,16/25

Yuliya22 [10]

Answer is C!

Ok I got to organize the info...
3/15 and 12/55
3*2...
Aha
3*4 equals 12 but not 15...
A: No

B:
8/24 12/35
No

GAUTIE
Sorry...
It's C
5/18 = 25/90
5*5=25
18*5 = 90
Hope that helps you!
One more happy customer!
<3

4 0

3 years ago

Read 2 more answers

9/6 as an equivalent fraction

svet-max [94.6K]

3/2 We look for a number that goes into both 9 and 6 without leaving a remainder, and that number is 3

3 0

3 years ago

The temperature of a city changed by −15 degrees Celsius over a 5-week period. The temperature changed by the same amount each w

tankabanditka [31]

Do you just wan't us to answer it or give you an explanation?

5 0

3 years ago

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

Given f(x) =3x+7 find f(5)

ra1l [238]

Answer:

Step-by-step explanation:

f (5)=3 (5)+7

f (5)=15+7

f (5)=22

8 0

3 years ago