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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The solution is, you'll both have to work for 10 hours to make the same amount of money. That amount of money is $50.
Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
You spend $50 on supplies and plan to charge $10 per hour.
Your brother spends $30 on supplies and plans to charge $8 per hour.
Let X = hours worked,
and Y = money earned
This is your equation : y = 10x - 50
This is your brothers : y = 8x - 30
Now, we know that you have to work to make the same amount of $$ (y value)
So set it equal to each other, ** 10x-50 = 8x-30 **
10x-8x= -30+50
2x=20
x=10.
The answer is, you'll both have to work for 10 hours to make the same amount of money. That amount of money is $50.
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3² x 5² is a multiplication of numbers, none of which are divisible by 2. Hence, the resulting number will be odd, as even numbers require a factor of 2.
The number Dawson wrote is the result of the factorization 3² x 5². Here, 3 and 5 are the bases and the exponents are 2. The exponentiation means the base number is multiplied by itself as many times as the value of the exponent. Therefore, 3² means 3 is multiplied by itself once, and 5² means 5 is multiplied by itself once.
In order to determine if the resulting number is even or odd, we don't have to perform the calculations. For any number to be even, it must be divisible by 2. If there isn't a factor of 2 in the number, the resulting product will be odd.
In this case, neither 3 nor 5 are divisible by 2. Hence, when you multiply them, no matter how many times, the result will always be an odd number. Therefore, the number obtained from 3² x 5² is odd.
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Answer:9^5
Step-by-step explanation: