How much lesss tha 10kg is 5 and 1\2 kg

I don't understand rational and irrational numbers

PSYCHO15rus [73]

A rational number is a number which can be expressed as a fraction whose numerator and denominator are both integers and whose denominator is not equal to zero. Rational numbers include all integers, fractions, mixed numbers, and some decimal numbers.

Note : All terminating and repeating decimal numbers are rational numbers because those numbers can be expressed as a fraction. On the other hand, a non repeating number and non terminating decimal, like square root of 2, is an irrational number.

$\dfrac{7}{16} \ as \ a \ decimal = 0.4375$

$Set \ up \ the \ long \ division.$

$Calculate \ 70 \div 16, \ which \ is \ 4 \ with \ a \ remainder \ of \ 6.

$

$Bring \ down \ 0, so \ that \ 60 \ is \ large \ enough \ to \ be \ divided \ by \ 16.

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$Calculate \ 60 \div 16, which \ is \ 3 \ with \ a \ remainder \ of \ 12.

$

$Bring \ down \ 0, so \ that \ 120 \ is \ large \ enough \ to \ be \ divided \ by \ 16.

$

$Calculate \ 120 \div 16, which \ is \ 7 \ with \ a \ remainder \ of \ 8.

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$Bring \ down \ 0, so \ that \ 80 \ is \ large \ enough \ to \ be \ divided \ by \ 16.$

$Calculate \ 80 \div 16, which \ is \ 5. 
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$Decimal = 0.4375
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4 0

2 years ago

Michael recorded the color of each car that passed by his office. He saw 30 blue cars and 40 green cars. What is the experimenta

Eddi Din [679]

Answer:

3/7

Step-by-step explanation:

4 0

3 years ago

Given vectors A (2,-1,5), B (4,3,-2) & C (5,4,0), find:?

MrRissso [65]

A) 4a - 3b + 2c

4(2, -1, 5) - 3(4, 3 , -2) + 2(5, 4, 0) = (8, -4, 20) - (12, 9, - 6) + (10, 8, 0) =

= (8 - 12 + 10 , -4 - 9 + 8 , 20 + 6 + 0) = (6, - 5, 26)

Answer: (6, - 5, 26)

b) magnitude of vector b

$\sqrt{4^2+3^2+(-2)^2} = \sqrt{16+9+4} = \sqrt{29} ~ 5.4$

c) vector of length 7 parallel to vector c

=> m(5,4,0) = (5m,4m,0)

=> $\sqrt{(5m)^2+(4m)^2+0}= \sqrt{25m^2+16m^2}= \sqrt{41m^2}=m \sqrt{41}=7$

=> m = 7 / √41 ≈ 1.093

=> 1.093 (5, 4, 0) = (5.465 , 4.372, 0)

Answer: (5.465 , 4.372 , 0)

7 0

3 years ago

Let g (x) = 3x+2 and f (x) = x-2 / 3 find the value. g (f(2))

Romashka [77]

Answer: OPTION C.

Step-by-step explanation:

In order to solve the given exercise, you can follow these steps:

1. Given the following function f(x):

$f(x)=\frac{x-2}{3}$

You must substitute $x=2$ into the function f(x). Then:

$f(2)=\frac{(2)-2}{3}$

2. Evaluating, you get:

$f(2)=\frac{0}{3}\\\\f(2)=0$

3. Now, the next step is to substitute $f(2)$ into the function g(x):

$g (x) = 3x+2\\\\g (f(2)) = 3(0)+2$

4. Finally, evaluating, you get the following result:

$g (f(2)) = 0+2\\\\g (f(2)) =2$

You can identify that it matches with the Option C.

3 0

3 years ago

|w| + 1.2 > 0.8 solution or no solution

Tasya [4]

You said | w | + 1.2 > 0.8

Subtract 1.2 from each side: | w | > -0.4

The absolute value of a number is always positive.
EVERY value of 'w' has an absolute value greater than -0.4 .
EVERY number is a solution to the equation.
There are an infinite number of them.

5 0

2 years ago