A natural number is a positive integer, example, 1,2,5,299 etc.
A rational number is a number that can be expressed as a fraction of integers, such as 245/127, 1/2, 5/1,8/1,...
Since a natural number can be expressed as a fraction of integers, so
a natural number IS a rational number.
Answer:
A two-digit number can be written as:
a*10 + b*1
Where a and b are single-digit numbers, and a ≠ 0.
We know that:
"The sum of a two-digit number and the number obtained by interchanging the digits is 132."
then:
a*10 + b*1 + (b*10 + a*1) = 132
And we also know that the digits differ by 2.
then:
a = b + 2
or
a = b - 2
So let's solve this:
We start with the equation:
a*10 + b*1 + (b*10 + a*1) = 132
(a*10 + a) + (b*10 + b) = 132
a*11 + b*11 = 132
(a + b)*11 = 132
(a + b) = 132/11 = 12
Then:
a + b = 12
And remember that:
a = b + 2
or
a = b - 2
Then if we select the first one, we get:
a + b = 12
(b + 2) + b = 12
2*b + 2 = 12
2*b = 12 -2 = 10
b = 10/2 = 5
b = 5
then a = b + 2= 5 + 2 = 7
The number is 75.
And if we selected:
a = b - 2, we would get the number 57.
Both are valid solutions because we are changing the order of the digits, so is the same:
75 + 57
than
57 + 75.
Answer:
7.583333 / 7 7/12
Step-by-step explanation:
2 1/3 × 3 1/4
2 1/3=7/3
3 1/4= 13/4
7/3 * 13/4
=91/12
=7 7/12
If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12
<u>Solution:</u>
Given that , In a certain function, y varies directly with x
And x = 8 when y = 6,
We have to find what will be the value of x when y = 9
Now, from the given information,
where c is the proportionality constant
Hence, x value is 12 when y value is 9
Given: 16cm long, 6cm wide, 23 cm tall
Asked: volume of the box
Formula: V=LxWxH
Solution: V = 16x6x23 = n
Answer: 2,208 cm³ volume of the box