Esmerelda simplified a complex fraction. Her work is shown below. Negative 5 and one-fourth divided by three-halves = negative S

In this problem, the point-slope form of a line is defined as:

Where:

represents a point on the line,

and m stands for the slope.

Given the details:

Substitute the values:

Thus, the equation of the line is:

Answer:

Response:

Jack's weight on the moon will be 26.52 pounds

Step-by-step explanation:

x = 156 (Weight on Earth)

y = 0.17 (Moon's gravity)

z = Your weight on the moon

x * y = z

156 * 0.17 = 26.52

Jack will weigh 26.52 pounds.

Answer:

I find it frustrating when responses don't start with A, B, C, or D, but in this instance, the correct choice is B.

Step-by-step explanation:

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.

Answer:

78/4

Step-by-step explanation:

this seems correct