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The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common multiple |
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absolute value |
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least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is \( 7 \)\( \sqrt{20} \) - \( 3 \)\( \sqrt{5} \)
11\( \sqrt{5} \) | |
4\( \sqrt{5} \) | |
4\( \sqrt{100} \) | |
21\( \sqrt{20} \) |
To subtract these radicals together their radicands must be the same:
7\( \sqrt{20} \) - 3\( \sqrt{5} \)
7\( \sqrt{4 \times 5} \) - 3\( \sqrt{5} \)
7\( \sqrt{2^2 \times 5} \) - 3\( \sqrt{5} \)
(7)(2)\( \sqrt{5} \) - 3\( \sqrt{5} \)
14\( \sqrt{5} \) - 3\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
14\( \sqrt{5} \) - 3\( \sqrt{5} \)A tiger in a zoo has consumed 98 pounds of food in 7 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 154 pounds?
2 | |
3 | |
10 | |
4 |
If the tiger has consumed 98 pounds of food in 7 days that's \( \frac{98}{7} \) = 14 pounds of food per day. The tiger needs to consume 154 - 98 = 56 more pounds of food to reach 154 pounds total. At 14 pounds of food per day that's \( \frac{56}{14} \) = 4 more days.
4! = ?
3 x 2 x 1 |
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4 x 3 x 2 x 1 |
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5 x 4 x 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.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Frank buys two shirts, each with a regular price of $50, how much will he pay for both shirts?
$75.00 | |
$77.50 | |
$55.00 | |
$27.50 |
By buying two shirts, Frank will save $50 x \( \frac{45}{100} \) = \( \frac{$50 x 45}{100} \) = \( \frac{$2250}{100} \) = $22.50 on the second shirt.
So, his total cost will be
$50.00 + ($50.00 - $22.50)
$50.00 + $27.50
$77.50