Answer:
y = 
Step-by-step explanation:
Let the total numbers are n.
If the average of y numbers is x then we can form an equation
⇒ 
⇒ n = 
--------(1)
Now 30 is added to the set of numbers then average becomes (x - 5)
⇒ 
⇒ (n + 1) = 
⇒ n = - 1 ----- (2)
Now we equate the values of n from equation 1 and 2
= - 1
y(x - 5) = x(y + 30) - x(x - 5) [ By cross multiplication ]
xy - 5y = xy + 30x - x² + 5x
xy - xy - 5y = 35x - x²
-5y = 35x - x²
x² - 35x = 5y
y =
Answer:
54
Step-by-step explanation:
Therefore, Sam can put 54 boxes.
The expression (2⁴)⁻¹ is simplified as one over two raised to the fourth power. Then the correct option is B.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ (2⁴)⁻¹
We know that a⁻ⁿ = 1 / aⁿ, then the value of the expression is given below.
⇒ 1/ (2⁴)
The expression (2⁴)⁻¹ is simplified as one over two raised to the fourth power. Then the correct option is B.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Hey there! I'm happy to help!
When rotating a point 90 degrees clockwise about the origin, our original point (x,y) becomes (-y,x), because it is now at a negative y-value.
We see that our point P is at (1,2). We can use this rotation formula to find the coordinates of P' (the new spot where P is)/
(x,y)⇒(-y,x)
(1,2)⇒(-2,1)
Therefore, the coordinates of the point P' are (-2,1).
Have a wonderful day! :D
I believe it's 36. The vertices have the same x coordinate so I found the difference between the y coordinates.
