| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
In a class of 25 students, 8 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 12 | |
| 18 | |
| 6 | |
| 23 |
The number of students taking German or Spanish is 8 + 15 = 23. Of that group of 23, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 23 - 4 = 19 who are taking at least one language. 25 - 19 = 6 students who are not taking either language.
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
|
fraction |
|
mixed number |
|
integer |
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.
Which of the following statements about exponents is false?
b0 = 1 |
|
b1 = 1 |
|
b1 = b |
|
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).
| 3.5 | |
| 2.4 | |
| 1 | |
| 5.0 |
1
What is -3a4 x 4a2?
| -12a4 | |
| -12a6 | |
| a8 | |
| a6 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-3a4 x 4a2
(-3 x 4)a(4 + 2)
-12a6