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Leviafan [203]
3 years ago
15

Felicity's dog eats no more than two cups of dog food per day. Felicity's dog eats at least one-quarter cup more than one-half o

f the amount Martin's dog eats. If the amount of food that Martin's dog eats is represented by using m, which inequality represents the situation?
Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

Answer:

\frac{1}{4}+\frac{m}{2}   \leq x\leq 2

x denotes amount of food that Felicity's dog eats

Step-by-step explanation:

Given:

Felicity's dog eats no more than two cups of dog food per day.

Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats.

The amount of food that Martin's dog eats is represented by using m

To find: the inequality that represents the situation

Solution:

Amount of food that Martin's dog eats = m

Amount of food that Felicity's dog eats ≤ 2

Also,

Amount of food that Felicity's dog eats \geq \frac{1}{4}+\frac{m}{2}

Therefore,

\frac{1}{4}+\frac{m}{2}\leq Amount of food that Felicity's dog eats ≤ 2

Let x denotes amount of food that Felicity's dog eats.

\frac{1}{4}+\frac{m}{2} ≤ \frac{1}{4}+\frac{m}{2}   \leq x\leq 2

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Is 3.734795.... a rational or irrational number? and why
Marina CMI [18]

Answer:

Let's look at what makes a number rational or irrational ...

Rational Numbers

A Rational Number can be written as a Ratio of two integers (ie a simple fraction).

Example: 1.5 is rational, because it can be written as the ratio 3/2

Example: 7 is rational, because it can be written as the ratio 7/1

Example 0.333... (3 repeating) is also rational, because it can be written as the ratio 1/3

 

Irrational Numbers

But some numbers cannot be written as a ratio of two integers ...

...they are called Irrational Numbers.

Example: π (Pi) is a famous irrational number.

Pi

π = 3.1415926535897932384626433832795... (and more)

We cannot write down a simple fraction that equals Pi.

The popular approximation of 22/7 = 3.1428571428571... is close but not accurate.

Another clue is that the decimal goes on forever without repeating.

Cannot Be Written as a Fraction

It is irrational because it cannot be written as a ratio (or fraction),

not because it is crazy!

So we can tell if it is Rational or Irrational by trying to write the number as a simple fraction.

Example: 9.5 can be written as a simple fraction like this:

9.5 =  

19

2

 

So it is a rational number (and so is not irrational)

Here are some more examples:

Number   As a Fraction   Rational or

Irrational?

1.75    

7

4

   Rational

.001    

1

1000

   Rational

√2

(square root of 2)   ?   Irrational !

Square Root of 2

Let's look at the square root of 2 more closely.

square root 2 When we draw a square of size "1",

what is the distance across the diagonal?

The answer is the square root of 2, which is 1.4142135623730950...(etc)

But it is not a number like 3, or five-thirds, or anything like that ...

... in fact we cannot write the square root of 2 using a ratio of two numbers

... I explain why on the Is It Irrational? page,

... and so we know it is an irrational number

Famous Irrational Numbers

Pi    

Pi is a famous irrational number. People have calculated Pi to over a quadrillion decimal places and still there is no pattern. The first few digits look like this:

3.1415926535897932384626433832795 (and more ...)

e (eulers number)    

The number e (Euler's Number) is another famous irrational number. People have also calculated e to lots of decimal places without any pattern showing. The first few digits look like this:

2.7182818284590452353602874713527 (and more ...)

phi    

The Golden Ratio is an irrational number. The first few digits look like this:

1.61803398874989484820... (and more ...)

radical symbol    

Many square roots, cube roots, etc are also irrational numbers. Examples:

√3 1.7320508075688772935274463415059 (etc)

√99 9.9498743710661995473447982100121 (etc)

But √4 = 2 (rational), and √9 = 3 (rational) ...

... so not all roots are irrational.

pls, branliest :)

7 0
3 years ago
Jeff and Brett both play basketball at the country club. Jeff is a
Jet001 [13]

Answer:

8 times

Step-by-step explanation:

2 x 8 = 16

64 + 16 = 80

10 x 8 = 80

5 0
3 years ago
16. Is 4/9 a terminating or repeating decimal?<br> Terminating Decimal<br> Repeating Decimal
Sonbull [250]
Repeating decimal is the answer
5 0
3 years ago
What is the sum of 2^5 and 7^2? Write the answer in the ordinary form.
posledela

Answer:

It's 81

Step-by-step explanation:

2^5 is 2*2*2*2*2 or 32

7^2 is 7*7 or 49

Add them together... 81

5 0
2 years ago
4[(10-4) 2 to the second power divided by 4]
SashulF [63]
<span>4[(10-4) 2 to the second power divided by 4]
=4x6x2</span> to the second power divided by 4
=6x2 to the second power 
=6x4
=24
Hope that helps and hope that I didn't misunderstand your question
4 0
3 years ago
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