Question

Rearrange the formula F=ma using m as the quantity of interest.

Answer 1

The surface area of a square pyramid can be calculated using the equation S=1/2lp+B . Rearrange the surface area equation for the quantity of interest B .

Answer 2

Claudia’s family is buying a new cabinet for their home. The height of the cabinet is 5 ft., its length is 4 ft., and its volume is 60 ft.^3 . They need to know the width of the cabinet to make sure that it will fit in the space where they want to put it. Using the volume formula, V=lwh , rearrange the formula to highlight the quantity of interest. Note that volume is represented with a capital V in the formula.

Answer 3

Question Amelia is traveling from Los Angeles, California, to Mesa, Arizona. The total distance she will drive is 388 miles. Amelia would like to get to Mesa in approximately 7 hours. She is wondering at what speed she will have to travel in order to make that happen. Using the formula d=vt , rearrange the formula to highlight the quantity of interest.

Answer 4

To rearrange the formula F = ma and solve for m, we need to isolate m on one side of the equation. Here's how we can do it:

1. Start with the formula: F = ma.
2. Divide both sides of the equation by a: F/a = ma/a.
3. Cancel out the a on the right side: F/a = m.
4. Swap the sides to have m on the left side: m = F/a.

Therefore, the rearranged formula is: m = F/a.

Answer 5

To rearrange the surface area equation for the quantity of interest B, we need to isolate B on one side of the equation. Here's how we can do it:

1. Start with the equation: S = (1/2)lp + B.
2. Subtract (1/2)lp from both sides of the equation: S - (1/2)lp = B.
3. Therefore, the rearranged equation for B is: B = S - (1/2)lp.

Answer 6

To rearrange the volume formula V = lwh, to highlight the quantity of interest, which is the width of the cabinet, we need to isolate w on one side of the equation. Here's how we can do it:

1. Start with the volume formula: V = lwh.
2. Divide both sides of the equation by lh: V / (lh) = w.
3. Cancel out lh on the right side: V / (lh) = w.
4. Swap the sides to have w on the left side: w = V / (lh).

Therefore, the rearranged formula that highlights the width w as the quantity of interest is: w = V / (lh).

Answer 7

To rearrange the formula d = vt to highlight the quantity of interest, which is the speed, we need to isolate v on one side of the equation. Here's how we can do it:

1. Start with the formula: d = vt.
2. Divide both sides of the equation by t: d / t = vt / t.
3. Cancel out t on the right side: d / t = v.
4. Swap the sides to have v on the left side: v = d / t.

Therefore, the rearranged formula that highlights the speed v as the quantity of interest is: v = d / t.