Now, the nickels and dimes are at ratio of 3:2. However, the total amount is in dollars. So let's convert all amounts to pennies then.
$5.60 is just 560 pennies
3 dimes is just 30 pennies
2 nickels is just 10 pennies
so, the ratio from dimes to nickels is a ratio of 30:10 pennies, or 3:1 then, for a total amount of 560 pennies.
Answer:
x = -8/2
Step-by-step explanation:
To make the equation easier to work with, our first step will be to make all of our fractions have a common denominator. Both 2 and 4 are factors of 8, so that will be our common denominator.
Old Equation: 1/4x - 1/8 = 7/8 + 1/2x
New Equation (with common denominators): 2/8x - 1/8 = 7/8 + 4/8x
Now, we're going to begin to isolate the x variable. First, we're going to subtract 2/8x from both sides, eliminating the first variable term on one side completely.
2/8x - 1/8 = 7/8 + 4/8x
-2/8x -2/8x
__________________
-1/8 = 7/8 + 2/8x
We're one step closer to our x variable being isolated. Next, we're going to move the constants to the left side of the equation. To do this, we must subtract by 7/8 on both sides.
-1/8 = 7/8 + 2/8x
- 7/8 -7/8
______________
-1 = 2/8x
Our last step is to multiply 2/8x by its reciprocal in order to get the x coefficient to be 1. This means multiply both sides by 8/2.
(8/2) -1 = 2/8x (8/2)
The 2/8 and 8/2 cancel out, and you're left with:
-8/2 = x
I hope this helps!
Answer:
C
Step-by-step explanation:
It is a function because it passes the vertical line test and Xs do not repeat, then count out the Y-values which are the range.
Answer:
Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. The result of a subtraction is called a difference. Subtraction is signified by the minus sign (−). For example, in the adjacent picture, there are 5 − 2 apples—meaning 5 apples with 2 taken away, which is a total of 3 apples. Therefore, the difference of 5 and 2 is 3, that is, 5 − 2 = 3. Subtraction represents removing or decreasing physical and abstract quantities using different kinds of objects including negative numbers, fractions, irrational numbers, vectors, decimals, functions, and matrices.
Subtraction follows several important patterns. It is anticommutative, meaning that changing the order changes the sign of the answer. It is also not associative, meaning that when one subtracts more than two numbers, the order in which subtraction is performed matters. Because 0 is the additive identity, subtraction of it does not change a number. Subtraction also obeys predictable rules concerning related operations such as addition and multiplication. All of these rules can be proven, starting with the subtraction of integers and generalizing up through the real numbers and beyond. General binary operations that continue these patterns are studied in abstract algebra.
Performing subtraction is one of the simplest numerical tasks. Subtraction of very small numbers is accessible to young children. In primary education, students are taught to subtract numbers in the decimal system, starting with single digits and progressively tackling more difficult problems.
In advanced algebra and in computer algebra, an expression involving subtraction like A − B is generally treated as a shorthand notation for the addition A + (−B). Thus, A − B contains two terms, namely A and −B. This allows an easier use of associativity and commutativity.
