Answer:
The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.
Step-by-step explanation:
<u>Equivalent algebraic expressions</u> are those expressions which on simplification give the same resulting expression.
Two algebraic expressions are said to be <u>equivalent</u> if their values obtained by substituting any values of the variables are same.
Two expressions 3f+2.6 and 2f+2.6 are not equivalent, because when f=1,

Method of substitution can only help her to decide the expresssions are not equivalent, but if she wants to prove the expressions are equivalent, she must prove it for all values of f.

This is true only when f=0.
Hence,
The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.
4w=34 would be the correct equation if I’m understanding what the question is asking!
Answer:
12 cm³
Step-by-step explanation:
Let's say the radius of the sphere and cylinder is r and the height is h. However, notice that the "height" of the sphere is the same thing as the diameter, which is 2r, so h = 2r.
The volume of a sphere is denoted by:
, where r is the radius.
The volume of a cylinder is denoted by:
, where r is the radius and h is the height. Plug in 2r for h and 18 for V:



Now plug in 9 for πr³ in the volume formula for the sphere:


The volume of the sphere is 12 cm³.
Answer:
The height is 10
Step-by-step explanation:
500 ÷ 2 1/2 ÷ 20 = H
25 ÷ 2 1/2 = H
H = 10
67,585.06 / 19,200
=3.52
Therefore each unit costs $3.50.