The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))². If the diameter of the logo increases by 35% the radius (and, consequently, the total area) increases by \( \frac{35\text{%}}{2} \) = 17\(\frac{1}{2}\)%

By buying two shirts, Charlie will save $37 x \( \frac{35}{100} \) = \( \frac{$37 x 35}{100} \) = \( \frac{$1295}{100} \) = $12.95 on the second shirt.

So, his total cost will be
$37.00 + ($37.00 - $12.95)
$37.00 + $24.05
$61.05

47% of the water consumption is industrial use and 24% is personal use so (47% - 24%) = 23% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{23}{100} \) x 35,000 gallons = 8,050 gallons.

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{2x^5}{x^2} \)
\( \frac{2}{1} \) x^{(5 - 2)}
2x³