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

\( \frac{25\sqrt{28}}{5\sqrt{4}} \)
\( \frac{25}{5} \) \( \sqrt{\frac{28}{4}} \)
5 \( \sqrt{7} \)

Latoya 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 2 points so she got \( \frac{162}{2} \) = 81 questions right.

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [30, 60, 90] making 30 the smallest multiple 6 and 10 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{9 x 5}{6 x 5} \) + \( \frac{4 x 3}{10 x 3} \)

\( \frac{45}{30} \) + \( \frac{12}{30} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{45 + 12}{30} \) = \( \frac{57}{30} \) = 1\(\frac{9}{10}\)

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

4 + (5 + 2) ÷ 4 x 5 - 3²
P: 4 + (7) ÷ 4 x 5 - 3²
E: 4 + 7 ÷ 4 x 5 - 9
MD: 4 + \( \frac{7}{4} \) x 5 - 9
MD: 4 + \( \frac{35}{4} \) - 9
AS: \( \frac{16}{4} \) + \( \frac{35}{4} \) - 9
AS: \( \frac{51}{4} \) - 9
AS: \( \frac{51 - 36}{4} \)
\( \frac{15}{4} \)
3\(\frac{3}{4}\)