Cineplex operates two movie theaters in a city. The profits from one theater can be represented by the expression t3 – +2 + 2t –

Answer:

B - Taking the cube root of y

Step-by-step explanation:

The information provided is:

y = ax^3

Using that information

we now find the cube root of y

The computation is as follows:

y1/3 = a1/3 × x

Thus

From the above equation, a linear relationship can be observed between the cube root of y and x.

Consequently, option B is the correct choice.

Therefore, the other options are incorrect.

Answer:

Step-by-step explanation:

To determine time "t", we know that:

Where "d" denotes distance, "r" signifies rate, and "t" means time.

Now isolating the time "t":

Initially, we convert miles into feet.

Since , thus

Recognizing that:

We substitute these values into to find time in seconds:

Given:

The resulting time in minutes is:

Response:

C. Each person receives 1/4 lb of chicken

Step-by-step analysis:

Determine the rate of chicken per person.

A chef prepares 9 lbs of chicken for 36 individuals and 17 lbs for 68 individuals.

A. 9/17 lb per individual

B. 4 lb per individual

C. 1/4 lb per individual

D. 36 individuals

Calculation:

9 lbs for 36 individuals

Chicken per individual = Total chicken / Total number of individuals

= 9 lbs / 36 individuals

Chicken per individual = 1/4 lb of chicken

17 lbs for 68 individuals

Chicken per individual = Total chicken / Total number of individuals

= 17 lbs / 68 individuals

= 1/4 lb each

Consequently, the rate of chicken per individual = 1/4 lb of chicken.

Answer:

Step-by-step explanation:

Denote the rectangular prism's volume as VR and the volume of the right triangular prism as VT. Given that the rectangular prism's volume exceeds that of the triangular prism by 32 cubic feet, we establish that VR = 32 + VT.

Calculating VR: VR = length * width * height = 6*x*3.

This simplifies to VR = 18x ft³.

For the triangular prism, VT can be calculated as Length * width * Height / 2, yielding VT = (7 * x * 4) / 2.

Thus, VT = 28x / 2, which simplifies to VT = 14x ft³.

Equating VR to 32 + VT allows the substitution: 18x = 32 + (14x).

Now, simplify the equation:

Combine like terms: 18x - 14x = 32.

This results in 4x = 32.

Dividing both sides by 4:

x = 8.

The volume for the rectangular prism comes to 18x, which equals 18*8.

The volume of the rectangular prism calculates to 144 ft³.

The volume for the right triangular prism calculates to 14x, which equals 14*8.

The volume of the right triangular prism calculates to 112 ft³.