20:5 = 30:x. Find the value of x. (Enter the numerical value only. Round to the nearest tenth.)

Rationale

To solve for x in the proportion 20:5 = 30:x, the value of x is 7.5.

By cross-multiplying the terms in the proportion, we can find the value of x. This gives us the equation 20x = 30 * 5, leading to x = 7.5 after solving.

A (5) YOUR ANSWER

If x were 5, then substituting back into the proportion would yield 20:5 = 30:5. This simplifies to 4 = 6, which is incorrect. Therefore, x cannot be 5.

B (6) YOUR ANSWER

Substituting x as 6 into the proportion leads to 20:5 = 30:6. This simplifies to 4 = 5, which is also incorrect. Hence, x cannot be 6.

C (7.5) CORRECT

When substituting 7.5 for x in the proportion, we have 20:5 = 30:7.5. This simplifies correctly to 4 = 4, confirming that this is the correct value for x.

D (8) YOUR ANSWER

If we set x to 8, the proportion becomes 20:5 = 30:8. This reduces to 4 = 3.75, which is not true. Therefore, x cannot be 8.

Conclusion

The solution to the proportion 20:5 = 30:x leads us to the conclusion that x must equal 7.5, as it is the only option that maintains equality in the proportional relationship. Each of the other choices fails to satisfy the initial equation, reaffirming that 7.5 is the correct and only solution.

20:5 = 30:x. Find the value of x. (Enter the numerical value only. Round to the nearest tenth.)

To solve for x in the proportion 20:5 = 30:x, the value of x is 7.5.

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