Solve ax − 12 = 9.

3 answers

To solve the equation ax - 12 = 9, we can first isolate the variable by adding 12 to both sides:

ax - 12 + 12 = 9 + 12

This simplifies to:

ax = 21

Finally, we can solve for x by dividing both sides by a:

x = 21/a
The area of a rectangle is calculated with the formula A=lw. If the area of a rectangle is 52.5 m2 and the width is 5 m, what is the length? Explain the solution to the real-world problem.(1 point)
To find the length of the rectangle, we can use the formula A = lw, where A is the area, l is the length, and w is the width.

We are given that the area is 52.5 m² and the width is 5 m. Plugging these values into the formula, we get:

52.5 = l * 5

To solve for l, we need to isolate it. We can do this by dividing both sides of the equation by 5:

52.5/5 = l * 5/5

This simplifies to:

10.5 = l

Therefore, the length of the rectangle is 10.5 meters.

To solve the real-world problem, we have a rectangle with a known area of 52.5 m² and a width of 5 m. To find the length, we use the formula A = lw. By substituting the given values into the formula and solving for the length, we determine that the length of the rectangle is 10.5 m.