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2 years ago

Question: Edwin usually makes 20 cookies with this recipe, but only wants 5 cookies.

Mathematics

1 answer:

Svetllana [295]2 years ago

3 0

Answer:

1/8 teaspoon of vanilla is needed to make 5 cookies

Step-by-step explanation:

1) 1/2 teaspoon of vanilla makes 20 cookies

2) you only need 5 cookies which is 1/4 as many cookies as before

3) you must 1/4 your recipe

4) 1/2 divided by 4 = 1/8

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5 FRIENDS GO OUT TO LUNCH AND ORDER 5 PIZZAS, THE FRIENDS DIVIDED THE PIZZAS EVENLY.FIND HOW MUCH PIZZA EACH FRIEND GOT AS A DEC

liraira [26]

5/5=1

Each friend got one pizza.

6 0

3 years ago

Read 2 more answers

If I had $33,50 last month and this month I got a raise and brought back $45,70 how much more did I bring back

Effectus [21]

You brought back 12.2

hope that helped

5 0

2 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

1 year ago

A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph.

Ymorist [56]

Answer:

19.2 mph

Step-by-step explanation:

just trust me

7 0

2 years ago

3 - (2x - 5) < -4(x + 2)

DIA [1.3K]

Answer:

x < -8

Step-by-step explanation:

3 - (2x - 5) < -4(x + 2)

-2x + 8 < -4x - 8

-2x < -4x - 16

2x < -16

x < -8

Best of Luck!

7 0

2 years ago