| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
What is \( \frac{3}{2} \) - \( \frac{7}{4} \)?
| \( \frac{8}{4} \) | |
| 1 \( \frac{3}{4} \) | |
| -\(\frac{1}{4}\) | |
| \( \frac{3}{11} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40]. The first few multiples they share are [4, 8, 12, 16, 20] making 4 the smallest multiple 2 and 4 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{3 x 2}{2 x 2} \) - \( \frac{7 x 1}{4 x 1} \)
\( \frac{6}{4} \) - \( \frac{7}{4} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{6 - 7}{4} \) = \( \frac{-1}{4} \) = -\(\frac{1}{4}\)
4! = ?
5 x 4 x 3 x 2 x 1 |
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4 x 3 x 2 x 1 |
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3 x 2 x 1 |
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4 x 3 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
Which of the following statements about exponents is false?
b1 = b |
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b1 = 1 |
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all of these are false |
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b0 = 1 |
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 35% off." If Frank buys two shirts, each with a regular price of $26, how much will he pay for both shirts?
| $9.10 | |
| $32.50 | |
| $42.90 | |
| $35.10 |
By buying two shirts, Frank will save $26 x \( \frac{35}{100} \) = \( \frac{$26 x 35}{100} \) = \( \frac{$910}{100} \) = $9.10 on the second shirt.
So, his total cost will be
$26.00 + ($26.00 - $9.10)
$26.00 + $16.90
$42.90
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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fraction |
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mixed number |
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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.