To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 5 and 9 share.

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

\( \frac{7 x 9}{5 x 9} \) + \( \frac{5 x 5}{9 x 5} \)

\( \frac{63}{45} \) + \( \frac{25}{45} \)

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

\( \frac{63 + 25}{45} \) = \( \frac{88}{45} \) = 1\(\frac{43}{45}\)

Latoya scored 80% on the test meaning she earned 80% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.8 = 96 points. Each question is worth 2 points so she got \( \frac{96}{2} \) = 48 questions right.

By buying two shirts, Charlie will save $10 x \( \frac{15}{100} \) = \( \frac{$10 x 15}{100} \) = \( \frac{$150}{100} \) = $1.50 on the second shirt.

So, his total cost will be
$10.00 + ($10.00 - $1.50)
$10.00 + $8.50
$18.50

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

35% of the water consumption is industrial use and 16% is personal use so (35% - 16%) = 19% more water is used for industrial purposes. 40,000 gallons are consumed daily so industry consumes \( \frac{19}{100} \) x 40,000 gallons = 7,600 gallons.