Sreya bought shoes for $37.57 and x pairs of socks for $1.95 each. Which expression shows the total money spent?

julia-pushkina [17]

A irrational number is a number that can't be expressed as a ratio of two whole numbers. That's it.

For examples (in increasing order of difficulty)

1 is a rational number because it is 1/1

0.75 is a rational number because it is equal to 3/4

2.333... (infinite number of digits, all equal to three) is rational because it is equal to 7/3.

sqrt(2) is not a rational number. This is not completely trivial to show but there are some relatively simple proofs of this fact. It's been known since the greek.

pi is irrational. This is much more complicated and is a result from 19th century.

As you see, there is absolutely no mention of the digits in the definition or in the proofs I presented.

Now the result that you probably hear about and wanted to remember (slightly incorrectly) is that a number is rational if and only if its decimal expansion is eventually periodic. What does it mean ?

Take, 5/700 and write it in decimal expansion. It is 0.0057142857142857.. As you can see the pattern "571428" is repeating in the the digits. That's what it means to have an eventually periodic decimal expansion. The length of the pattern can be anything, but as long as there is a repeating pattern, the number is rational and vice versa.

As a consequence, sqrt(2) does not have a periodic decimal expansion. So it has an infinite number of digits but moreover, the digits do not form any easy repeating pattern.

5 0

2 years ago

Explain how to find which is greater 1/4 of 12 or 1/3 of 12

stiks02 [169]

1/3 would be greater because
1/3 of 12= 4 while
1/4 of 12 = 3
to check your work you would get a calculator (if possible) and divide 3by 12 or 4 by 12 then if you get .33 (divide 3 by 12 like 3/12) its 1/3. if its .25 (divide 4 by 12 like 4/12) its 1/4

4 0

3 years ago

Read 2 more answers

ABCD Is a rectangle that represents a park.

Andru [333]

Answer:

Shortest distance from A to C = 102.9005 m.

Step-by-step explanation:

It is given that, ABCD is a rectangular park.

The length of the park is 80 m.

The breadth of the park is 50 m.

The diameter of the circle = 15 m.

We have to calculate the shortest distance from A to C across the park.

The distance AC = $\sqrt{50^{2}+80^{2} }$ = 94.339 m.

As one has to pass only through the lines shown, he cannot pass through the circle.

So, we have to subtract the diameter of 15 m from AC

=> 94.339 m - 15 m = 79.339 m.

One must pass through either half of the circumference of the circle.

Since, diameter of circle = 15 m, its radius(r) = $\frac{15}{2}$ = 7.5 m.

The circumference of the circle = 2×π×r = 47.123 m.

Half of the circumference = $\frac{47.123}{2}$ = 23.5615 m.

Distance from A to C passing through circumference = 79.339 m + 23.5615 m = 102.9005 m.

As we have to calculate the shortest distance from A to C, one cannot pass from A to C either through B or D,

since the distance ABC or ADC = 50+80 = 130 m.

Therefore, shortest distance from A to C = 102.9005 m.

3 0

3 years ago

Read 2 more answers

Mark said he can decompose five six into three fractions with three different numerators and the same denominator is this possib

Kazeer [188]

Answer:

1/6 ; 2/6 ; 2/6

Step-by-step explanation:

To split 5/6 into. 3 different fractions with the same denominator and different numerator values;

The integer value of the numerator 5 can be divided into 3 different whole Number values ;

It could be :

5 = 3 + 1 + 1

5 = 2 + 2 + 1

Hence, we could have ;

3/6 +. 1/6 + 1/6

Or

2/6 + 2/6 + 1/3

8 0

2 years ago

Please help ASAP <3 Correct answer gets brainliest :3

Goshia [24]

Answer:

1. 1,016 sq. m.

2. 119 sq. m.

Step-by-step explanation:

1.

14 x 18 = 252

18 x 8 = 144

14 x 8 = 112

2 ( 252 ) + 2 ( 144 ) + 2 ( 112 )

504 + 288 + 224 = 1,016 sq m

2.

4 (7 x 5 divided by 2) + (7 x 7) =

7 x 5= 35 divided by 2 = 17.5 x 4 = 70 + 49 = 119 sq. m.

I hope this helps

sorry if i'm wrong

6 0

3 years ago