| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.68 |
| Score | 0% | 54% |
What is 7\( \sqrt{3} \) x 2\( \sqrt{2} \)?
| 14\( \sqrt{3} \) | |
| 14\( \sqrt{6} \) | |
| 9\( \sqrt{2} \) | |
| 9\( \sqrt{6} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
7\( \sqrt{3} \) x 2\( \sqrt{2} \)
(7 x 2)\( \sqrt{3 \times 2} \)
14\( \sqrt{6} \)
Which of the following is an improper fraction?
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
|
\({2 \over 5} \) |
|
\({a \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
How many 2 gallon cans worth of fuel would you need to pour into an empty 8 gallon tank to fill it exactly halfway?
| 4 | |
| 2 | |
| 9 | |
| 2 |
To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{4 \text{ gallons}}{2 \text{ gallons}} \) = 2
Which of the following statements about exponents is false?
b0 = 1 |
|
b1 = b |
|
b1 = 1 |
|
all of these are false |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
The total water usage for a city is 25,000 gallons each day. Of that total, 24% is for personal use and 43% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 11,500 | |
| 9,900 | |
| 4,750 | |
| 9,450 |
43% of the water consumption is industrial use and 24% is personal use so (43% - 24%) = 19% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{19}{100} \) x 25,000 gallons = 4,750 gallons.