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3 years ago

What is the solution set of x/4 is less than 9/x?

Mathematics

1 answer:

balandron [24]3 years ago

7 0

Answer:

Step-by-step explanation:

$\frac{x}{4}\leq \frac{9}{x} \\x\leq \frac{36}{x} \\let x0\\so~0< x\leq 6$

combininig the two cases

x≤-6 and 0<x≤6

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The first week of January there are 49 dogs and 28 cats in an animal shelter. Throughout the month the ratio of dogs to cats rem

Rudiy27

Answer:

Step-by-step explanation:

If the ratio of dogs to cats is 49:28, as an actual ratio (fraction), this is

$\frac{d}{c}:\frac{49}{28}$

We can reduce that to make the numbers smaller without changing the ratio. reducing gives us

$\frac{d}{c}:\frac{7}{4}$

We will use that ratio now to set up a proportion that involves a given number of cats and an unknown number of dogs. Keeping dogs on top and cats on bottom,

$\frac{d}{c}:\frac{7}{4}=\frac{x}{20}$

Cross multiply to get

4x = 140 so

x = 35

According to the ratio of dogs to cats, if there are 20 cats, there will be 35 dogs.

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4 years ago

What Is The Square Root Of 20?

Alona [7]

2 root 5 is the simplified version

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3 years ago

Read 2 more answers

PLEASE HELP ME!!!

Reika [66]

Answer:

Part a) The inequality that models this problem is $2w+2(4w) \leq 106$

Part b) The greatest possible value for the width is 10.6 centimeters

Step-by-step explanation:

Part a) Which inequality models this problem?

Let

l ----> the length of the rectangle in cm

w ---> the width of the rectangle in cm

we know that

The perimeter of the rectangle is equal to

$P=2w+2l$

Remember that

The term "at most" means "less than or equal to"

$2w+2l \leq 106$ ----> inequality A

$l=4w$ ---> equation B

substitute equation B in the inequality A

$2w+2(4w) \leq 106$ ---> inequality that model the problem

Part b) what is the greatest possible value for the width?

solve for w

$2w+2(4w) \leq 106$

$10w \leq 106$

Divide by 10 both sides

$w \leq 10.6\ cm$

therefore

The greatest possible value for the width is 10.6 centimeters

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4 years ago

Need Help Fast!!!!!!!!!!!!!

Lady_Fox [76]

Answer:

G(7)= 4

Step-by-step explanation:

When looking at the graph, you can see that at x=7, y= 4 :)

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3 years ago

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Help meeee:eeeeeeeeee:(

hichkok12 [17]

Answer:

A. 92 cm

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

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3 years ago

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What is the solution set of ￼x/4 is less than 9/x?￼￼￼￼￼￼￼￼

What is the solution set of x/4 is less than 9/x?