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slavikrds [6]
3 years ago
7

PLZ HELP!!!

Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0

Answer:

187.74\:\mathrm{cm}

Step-by-step explanation:

The area of a rectangle is given by l\cdot w. Therefore, we can set up the following inequality:

l\cdot 16 \leq 3,003.84.

Solving this inequality, we have:

l \leq 187.74.

Therefore, the largest length Carmen's painting can be is \fbox{$187.74\:\mathrm{cm}$}.

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IrinaVladis [17]

Answer:

3/2

Sorry for the bad handwriting.

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30% of what number is 275
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around 917

Step-by-step explanation:

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3 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:

  1. Direct
  2. 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
If P(A)=2/3, P(B)=4/5, and P(A U B) =11/15, what is P(A ∩ B)?
Juliette [100K]
The answer is A on apex 
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For how many positive three-digit integers is the product of their three digits 90?
Masteriza [31]
So just find the factors of 90
90=2 times 3 times 3 times 5
so the factors could be
2,3,15
2,9,5
6,3,5
10,3,3
 there are 4our
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