There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 10 people needing transportation leaving 10 - 9 = 1 who will have to find other transportation.

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

To multiply terms with radicals, multiply the coefficients and radicands separately:

2\( \sqrt{9} \) x 9\( \sqrt{8} \)
(2 x 9)\( \sqrt{9 \times 8} \)
18\( \sqrt{72} \)

Now we need to simplify the radical:

18\( \sqrt{72} \)
18\( \sqrt{2 \times 36} \)
18\( \sqrt{2 \times 6^2} \)
(18)(6)\( \sqrt{2} \)
108\( \sqrt{2} \)

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

Monica scored 90% on the test meaning she earned 90% of the possible points on the test. There were 180 possible points on the test so she earned 180 x 0.9 = 162 points. Each question is worth 3 points so she got \( \frac{162}{3} \) = 54 questions right.