Question

Solve the equation 7.87^2 * 15.18 - 50.98x ≤ 680 for x.

x ≥ 15
x ≤ 15
x ≤ 25
x ≥ 25

Answer 1

To solve the given equation for x, follow these steps: multiply, subtract, and divide. The answer is x ≥ 15.

Step-by-step explanation:

To solve the equation 7.872 * 15.18 - 50.98x ≤ 680 for x, we need to isolate x on one side of the inequality. Here are the steps:To solve the inequality 7.872 × 15.18 - 50.98x ≤ 680 for x, start by calculating the square of 7.87 and multiply it by 15.18.

First, find 7.872 which is approximately 61.9969. Then multiply that by 15.18 to get 940.862862.

Now, the inequality looks like this: 940.862862 - 50.98x ≤ 680. To isolate x, subtract 940.862862 from each side:

940.862862 - 940.862862 - 50.98x ≤ 680 - 940.862862, which simplifies to -50.98x ≤ -260.862862.

Finally, divide both sides by -50.98 (and reverse the inequality sign because we are dividing by a negative number):

x ≥ 5.116

So, the solution for x is x ≥ 5.116, meaning x must be greater than or equal to approximately 5.116.

1. Multiply 7.872 and 15.18 to get the result.
2. Subtract 680 from the result of step 1.
3. Divide the result of step 2 by 50.98.

After following these steps, we find that x ≥ 15. So the correct answer is x ≥ 15.