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3 years ago

Jenny and Chris share some prize money in the ratio 2:4. The prize money totaled $3000. How much did Chris win?

1 answer:

6 0

Solution for What is 2.4 percent of 3000:

2.4 percent *3000 =

(2.4:100)*3000 =

(2.4*3000):100 =

7200:100 = 72
Maybe i dont know tbh

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8.6 divided by 1,000 =<br> find the quotient. divide decimals by power of ten.

sp2606 [1]

The android sjsjsben 86

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3 years ago

This table shows the ratio of number of people to liters of ginger ale needed find the missing values

makvit [3.9K]

Answer:

2 and 6

Step-by-step explanation:

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3 years ago

Please help!!

erastova [34]

Answer:

180, 180, 148, 180, 148

Step-by-step explanation:

The two rules in play here are ...

the sum of interior angles of a triangle is 180°
the angles of a linear pair are supplementary (they total 180°)

The first of these rules answers the first two questions:

interior angles total 180°
angles 1, 3, 4 total 180°

We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.

angles 3 and 4 total 148°

The second rule answers the next question:

angles 1 and 2 total 180°

As before, subtracting the value of angle 1 from both sides of the equation gives ...

angle 2 must be 148°

_____

<em>Additional comment</em>

Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...

X + 32° = 180°

X +32° -32° = 180° -32° . . . . . . subtraction property of equality

X = 148° . . . . . . . . simplify

In the first case, X is the sum of angles 3 and 4. In the second case, X is angle 2 only.

7 0

3 years ago

Which expression is equivalent to the square root of 1/8

irina1246 [14]

When you say "which," it sounds like it should be multiple choice. Anyways, here's the simplified form of $\sqrt{\frac{1}8}}$

$\sqrt{\frac{1}8}} = \frac{\sqrt{1}}{\sqrt{8}} = \frac{1}{\sqrt{8}} * \frac{\sqrt{8}}{\sqrt{8}}=\boxed{\frac{\sqrt{8}}8}$

(When simplifying fractions, you should <em>never</em> have a square root on the bottom. Multiply by the square root to cancel it out)

4 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