The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. 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 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.

The amount of flour you need is (2\(\frac{3}{4}\) - \(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{22}{8} \) - \( \frac{5}{8} \)) cups
\( \frac{17}{8} \) cups
2\(\frac{1}{8}\) cups

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

955,000 in scientific notation is 9.55 x 10⁵

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

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

6\( \sqrt{4} \) x 6\( \sqrt{4} \)
(6 x 6)\( \sqrt{4 \times 4} \)
36\( \sqrt{16} \)

Now we need to simplify the radical:

36\( \sqrt{16} \)
36\( \sqrt{4^2} \)
(36)(4)
144