Elena has 80 unit cubes. What is the volume of the largest cube she can build with them?

The options presented are:

(1) division property of equality

(2) factoring the binomial

(3) completing the square

(4) subtraction property of equality

Response: (2) factoring the binomial

Step 1:

Step 2:

In step 2, 'a' is extracted from . Upon factoring out 'a', we divide all terms by 'a', resulting in .

Step 2 involves the binomial factorization process.

Customers served in 0.5 hours : 3.6   versus   x customers served in 7.5 hours

--------------------   = --------------------

0.5 hours                     7.5 hours

Applying cross multiplication:

3.6 multiplied by 7.5 equals x times 0.5

Dividing both sides by 0.5:

x = (3.6 * 7.5) / 0.5

x = 54

So, you assisted 54 customers in 7.5 hours.

Response:

m(n) = 60000

Amount = 60000/n

Step-by-step breakdown:

Provided

Budget = 60000

Solving part (a) as a function mn

To achieve this, simply substitute m(n) for the budget amount.

This results in;

m(n) = 60000

Solving part (b) for the amount each committee is allocated.

Given that the budget will be evenly split.

Amount = m(n)/n

Replace m(n) with 60000

Amount = 60000/n

Answer:

This function is continuous.

The situation illustrated corresponds to a linear function because the rate of change remains constant.

For each additional hour, 53 cups of juice are dispensed.

Brainliest please

Answer: A square that undergoes rotation around its center by 360º aligns with itself at D) 4 distinct angles during the process. Furthermore, a square can be reflected onto itself over B) 4 various lines.

Explanatory breakdown:

A square is a geometric shape characterized by equal-length sides and right angles ( ).

Thus, it is capable of being rotated around its center by .

It reverts to its original outline at 4 unique rotation angles ( at every ).

The square can also be reflected onto itself across 4 lines (2 through the non-parallel sides and 2 through the corners).