1. Which of the following pairs of numbers, when placed from left to right in the boxes above in the order given, make the equation true? 15 = (9 x []) / 5 + []
Answer: E
5 and 6 make the equation true.
When substituting 5 and 6 into the equation 15 = (9 x [5]) / 5 + [6], the left side correctly equals 15. This confirms that these values satisfy the equation.
A) 15, 1
Substituting 15 and 1 into the equation yields 15 = (9 x [15]) / 5 + [1], which simplifies to 15 = 27 + 1. This does not hold true, making this option incorrect.
B) 10, 2
For 10 and 2, the equation becomes 15 = (9 x [10]) / 5 + [2]. This simplifies to 15 = 18 + 2, which is also incorrect as it does not equal 15.
C) 10, 3
Using 10 and 3 results in 15 = (9 x [10]) / 5 + [3]. This simplifies to 15 = 18 + 3, which again does not satisfy the equation, making this option incorrect.
D) 5, 4
Inserting 5 and 4 leads to 15 = (9 x [5]) / 5 + [4]. This reduces to 15 = 9 + 4, which sums to 13, thus failing to satisfy the equation.
E) 5, 6
When substituting 5 and 6, the equation reads 15 = (9 x [5]) / 5 + [6]. This simplifies correctly to 15 = 9 + 6, confirming that this option is correct.
Conclusion
The correct answer is E) 5, 6, as this pair satisfies the equation perfectly. All other options fail to produce the correct result when substituted into the equation, confirming their incorrectness.