the ratio of pink marbles to white marbles in samara's bag is equal to 1:5. What percent of the bag contains pink marbles?
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The length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.
Given to us
An electrician needs to cut a 49 m piece of wire into two pieces so that one piece is 5 m longer than the other piece.
<h3>What are the two equal parts of the wire?</h3>We know that the length of the wire is 49 m, therefore, to cut the wire in two equal parts divide the total length of the wire by two,
Thus, the length of each side will be 24.5.
<h3>What is the length of the shorter piece of wire?</h3>Since we need to cut the wire such that one side of the wire is 5 less than the other, we already know the length of the equal sides deduct (5/2) from both sides to create a difference between the length of the wire.
Length of the shorter wire = 24.5 -2.5 = 22.5
Length of the longer wire = 22.5 + 5 = 27.5
Hence, the length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.
Learn more about Lengths:
Answer: OPTION C.
Step-by-step explanation:
The missing options are:
In order to solve this exercise you need to remember the following:
1. The Distributive property states that:
2. The multiplication of signs:
In this case the exercise gives you the following equation:
Since you need to solve for the variable "x" in order to find its value, the first step you must apply in the in the procedure is to eliminate the parentheses applying the Distributive property.
Then, you must multiply everyting inside the parentheses by .
Therefore,based on the explanation, you know that the correct use of the Distributive property is:
Answer:
g(x) is a quadratic function ⇒ 2
Step-by-step explanation:
- The quadratic function is the function that has 2 as the greatest power of the variable
- The form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant
Let us use the information above to solve the question
∵ f(x) =
∵ x is the exponent of the base 1.5
→ That means f(x) is not in the form of the quadratic function
∴ f(x) is not in the form of the quadratic function above
∴ f(x) does not represent a quadratic function
∴ f(x) is not a quadratic function
∵ g(x) = 500x² + 345x
∴ The greatest power of x is 2
→ That means g(x) is in the form of the quadratic function above
∵ g(x) is in the form of the quadratic function above, where a = 500,
b = 345, and c = 0 (constant values)
∴ g(x) represents a quadratic function
∴ g(x) is a quadratic function