Each of the problems asks you to a similar idea: get a common denominator with the fractions and then subtract.
Problem 1: 28 3/8 - 19 5/6
The factors of 8 are 2, 2, and 2. The factors of 6 are 2 and 3. We take one two that's repeated, two more twos from 8, and a 3 for the common denominator. So, 2 * 2 * 2 * 3 = 24 is the lowest common denominator (LCD).
Now change the fractions to the common denominators
3/8 = ? / 24 We go from 8 to 24 multiplying by 3, so 3 multiplied by 3 is 9.
5/6 = ? / 24 We go from 6 to 24 multipling by 4, so 5 multiplied by 4 is 20.
Then,
28 3/8 - 19 5/6
= 28 9/24 - 19 20/24 <----use common denominators
= 27 33/24 - 19 20/24 <--- borrow from the whole number
= 8 13/24 <---- subtract whole numbers and fraction numerators
Problem 2 works similarly to problem 1, with an LCD of 15.
18 2/5 - 9 13/15
= 18 6/15 - 9 13/15
= 17 21/15 - 9 13/15
= 8 8/15
Thus the differences are 8 13/24 (1st) and 8 8/15 (2nd).
Answer:
Radius of the cone's base is 3x ....
Step-by-step explanation:
We have given that the volume of a cone is 3πx³
Height = x units.
The volume of a cone of radius r and height h units is given by:
V= 1/3 π r² *h
Simply plug the values given in the question into the above mentioned equation:
1/3πr²*x = 3*π*x³
1/3r²*x= 3x³
r² = 3*3*x³/x
r²=9x²
Taking square root at both sides we get:
√r² =√9x²
r = 3x
Thus the radius of the cone's base is 3x.
Answer:
b. 29°
Step-by-step explanation:
Question:
Is every whole number a natural number?
Types of Numbers:
In mathematics, there are a plethora of types of numbers, such as real numbers, rational numbers, integers, whole numbers, or natural numbers. Some of these types of numbers can be classified as other types of numbers, while others cannot. We can use the definitions of the different types of numbers to determine if one type is also another type.
Answer and Explanation:
Every whole number is a natural number with one exception, and that is the whole number 0. In other words, all whole numbers are natural numbers except the number 0.
The whole numbers and the natural numbers are defined as follows:
Whole Numbers: All of the positive integers, or the counting numbers, along with the number 0.Natural Numbers: All of the positive integers, or the counting numbers.
Notice that the whole numbers can actually be defined as all of the natural numbers along with the number 0. This tells us that every whole number is a natural number except the number 0 because 0 is not included in the positive integers, or the counting numbers.
So I hope I helped!
Basically every single one is a whole number except the 0
