The greatest common factor of 16 and 64 is 16.
Given that we need to find the greatest common factor of 16 and 64,
To find the greatest common factor (GCF) of two numbers, such as 16 and 64, we need to determine the largest number that divides both of them without leaving a remainder.
First, let's find the factors of each number:
Factors of 16: 1, 2, 4, 8, 16
Factors of 64: 1, 2, 4, 8, 16, 32, 64
As we can see, both numbers have the factors 1, 2, 4, 8, and 16. The largest number that divides both 16 and 64 without leaving a remainder is 16.
In general, when finding the GCF of two numbers, we look for the common factors they share and choose the largest one.
In this case, since 16 is the largest common factor, it becomes the GCF.
Hence the greatest common factor is 16.
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The ratio of new books to all books is 5:12.
In this scenario, there are 5 new books and 7 used books on a shelf. We will determine the ratio of new books to all books and explain it mathematically.
To find the ratio of new books to all books, we need to compare the number of new books to the total number of books, which includes both new and used books. In this case, there are 5 new books and 7 used books, so the total number of books is 5 + 7 = 12.
Now, let's define the ratio of new books to all books using the mathematical notation. We'll use "n" to represent the number of new books, "u" to represent the number of used books, and "t" to represent the total number of books.
Let:
n = 5 (number of new books)
u = 7 (number of used books)
t = n + u = 5 + 7 = 12 (total number of books)
The ratio of new books to all books is given by n/t. Substituting the values, we get:
Ratio of new books to all books = 5 / 12
The ratio can also be expressed in fractional form as 5/12. This means that out of every 12 books on the shelf, 5 are new books, and the remaining 7 are used books. The ratio is simplified to its lowest terms, making it a concise representation of the relationship between new books and all books on the shelf.
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are they on the map?
I can’t figure this out !!!
Answer: 2p - 2q
Step-by-step explanation:
(3p-10q)-(p-8q) is simply an algebraic expression.
To solve it, you first open the brackets
i.e 3p - 10q - p + 8q (the minus sign between the brackets have multiplied the next minus sign, so it becomes plus sign)
Now, collect the like terms of i.e common terms
= 3p - 10q - p + 8q
= 3p - p - 10q + 8q
= 2p - 2q
Thus, the final expression is 2p - 2q since it cannot be further simplified.