Answer:
a) y = 16/x²
b) x = 4/5
Step-by-step explanation:
You want the equation for y in terms of x when y is inversely proportional to the square of x, and y is 16 when x is 1. Further, you want the value of x when y is 25.
<h3>(a) Relation</h3>
The wording "inversely proportional to the square" means the form of the equation is ...
y = k/x² . . . . . . where k is the constant of proportionality
The value of k can be found from the given (x, y) pair.
k = x²y = (1)²(16) = 16
The equation is ...
y = 16/x²
<h3>(b) Value of x</h3>
Solving for x gives ...
x = √(16/y)
Then the value of x for y = 25 is ...
x = √(16/25)
x = 4/5
The dimension of the rectangular box is 60cm x 45cm x 32cm. The dimension of the wood used has the thickness of 2.5 cm all around the rectangular box. In order to get the volume of the wood, subtract each side of the rectangular box by 2.5.
Volume = 57.5 cm x 52.5cm x 29.5cm
Volume = 89053.1252 cm^3
Answer:
x ÷ 1/4
Step-by-step explanation:
<u>Concepts:</u>
- An expression a mathematical sentence that has at least two numbers and a minimum of one math operation (addition, subtraction, etc.) in it. An expression cannot have an = sign in it.
- A variable is an unknown, numerical value in an equation, often represented by the letter x.
<u>Solving:</u>
Let's translate the first part of the expression:
1. "A number"
- Since we're unaware of the number in this expression, we can mark it as a variable, x.
- This means that, so far for our expression, we only have the variable, "x".
2. "divided by 1/4"
- When we're dividing, we use the ÷ symbol to represent that operation.
- Now, let's put the first part of our expression with the second one: "x ÷ 1/4"
Therefore, the expression for this situation is x ÷ 1/4.
Step-by-step explanation:
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<em>MARK</em><em> </em><em>ME</em><em> </em><em>AS</em><em> </em><em>A</em><em> </em><em>BRAINLIEST</em>
