| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
Which of the following statements about exponents is false?
b1 = 1 |
|
b0 = 1 |
|
all of these are false |
|
b1 = b |
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).
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Alex buys two shirts, each with a regular price of $24, how much will he pay for both shirts?
| $32.40 | |
| $18.00 | |
| $42.00 | |
| $6.00 |
By buying two shirts, Alex will save $24 x \( \frac{25}{100} \) = \( \frac{$24 x 25}{100} \) = \( \frac{$600}{100} \) = $6.00 on the second shirt.
So, his total cost will be
$24.00 + ($24.00 - $6.00)
$24.00 + $18.00
$42.00
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 48,000 seats in a stadium are filled, how many home fans are in attendance?
| 35,000 | |
| 28,500 | |
| 36,000 | |
| 28,333 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
48,000 fans x \( \frac{3}{4} \) = \( \frac{144000}{4} \) = 36,000 fans.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Alex buys two shirts, each with a regular price of $12, how much money will he save?
| $3.60 | |
| $1.20 | |
| $2.40 | |
| $4.20 |
By buying two shirts, Alex will save $12 x \( \frac{35}{100} \) = \( \frac{$12 x 35}{100} \) = \( \frac{$420}{100} \) = $4.20 on the second shirt.
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 36 | |
| 31 | |
| 40 | |
| 23 |
The equation for this sequence is:
an = an-1 + 2(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31