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Amiraneli [1.4K]
3 years ago
13

How do you simplify, explain -3√7 -3√7 -2√32

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0
Since the first two numbers have the same radical, they can be combined. 
-3√7-3√7=-6<span>√7
Simplify -2</span>√32 to get -8<span>√2.

So simplified, you would get -6</span>√7-8<span>√2.</span>
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How to use denominators when comparing two fractions with the same numerators
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What you would do is take the denominators and multiply them by each other, then multiply the numerators by that same number. So like 4/10 and 4/9. You would say, (denominators) 10x9=90 and (numerators) 4x9=36. So your first fraction would be 36/90. Next, you would take (denominators) 9x10=90 and (numerators) 4x10=40. So your second fraction would become 40/90. Now it's a lot easier to compare. 36/90 < 40/90 would be the answer to my problem. I hope I helped!
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3 years ago
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A tower made of wooden blocks measures​ 114 feet high. Then a block is added that increases the height of the tower by 8 inches.
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4. 23 in

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The tower is 1 1/4 feet high, then 8 inches are added. Well, we can't just add those two numbers. We have to change the units! Change everything to inches.

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3 years ago
On a single roll of a pair of dice, what are the odds against rolling a sum of 12?
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Answer:

\frac{1}{35}

Step-by-step explanation:

On a single roll of a pair of dice. When a pair of dice are rolled the possible outcomes are as follows:

(1,1)         (1,2)          (1,3)  (1,4)  (1,5)  (1,6)

(2,1)  (2,2)  (2,3)  (2,4)  (2,5)  (2,6)

(3,1)  (3,2)  (3,3)  (3,4)  (3,5)  (3,6)

(4,1)  (4,2)  (4,3)  (4,4)  (4,5)  (4,6)

(5,1)  (5,2)  (5,3)  (5,4)  (5,5)  (5,6)

(6,1)  (6,2)  (6,3)  (6,4)  (6,5)  (6,6)

The number of outcomes that gives us 12 are (6,6). There is only one outcome that gives us sum 12.

Total outcomes = 36

Odd against favor = \frac{non \ favorable\ outcomes}{favorable \ outcomes}

Number of outcomes of getting sum 12 is 1

Number of outcomes of not getting sum 12 is 36-1= 35

odds against rolling a sum of 12= \frac{1}{35}

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