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nika2105 [10]
3 years ago
14

Find the area of the circle

Mathematics
1 answer:
Natalija [7]3 years ago
5 0
A = (pie)r^2
A= (pie)1.5^2
A= 7.07(pie)
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Which expression is equivalent to -2 (5x-.75)
GrogVix [38]

Answer:

-10x + 1.5

Step-by-step explanation:

6 0
3 years ago
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Lucy has 4 more than 1/3 the number of pairs of socks as her sister. Lucy has at most 9 pairs of socks. How many pairs of socks
Volgvan

Answer: at most 15 pairs of socks

Step-by-step explanation:

Let the number of pair of socks of her sister be x , and let the number of pairs Lucy has be y.

Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that

\frac{1}{3}x + 4 = y    .............................. equation 1

Also ,  Lucy has at most 9 pairs of socks , this means that

y\leq 9 ....................................... equation 2

Equating the two equations , we have

\frac{1}{3}x + 4 \leq 9

multiply through by 3

x + 12\leq 27

subtract 12 from both sides

x\leq 15

Therefore , the sister has at most 15 pairs of socks

4 0
3 years ago
Dan puts $11 of his allowance in his savings account every week. how much money will he have after 15 weeks.
EleoNora [17]
11 x 15 = $165
He will have $165 after 15 weeks.
4 0
3 years ago
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Consider the game of independently throwing three fair six-sided dice. There are six combi- nations in which the three resulting
Murrr4er [49]

Answer:

See explanation below.

Step-by-step explanation:

1) First let's take a look at the combinations that sum up 10:

  1. 1+3+ 6,
  2. 1+ 4+ 5,
  3. 2+2+6,
  4. 2+3+5,
  5. 2 + 4 + 4,
  6. 3+3+4

Notice that when we have 3 different numbers on the dice, we can permute them in 6 different ways. For example: Let's take 1 + 3 + 6, we can get this sum with these permutations:

1 + 3 + 6, 1 + 6 + 3, 3 + 6 + 1, 3 + 1 + 6, 6 + 1 + 3, 6 + 3 + 1.

And when we have two different numbers on the dice, we can permute them in 3 different ways:

2 + 2 + 6, 2 + 6 +2, 6 + 2 + 2.

So now we're going to write down the 6 combinations that sum up 10 but we're going to write down how many permutations of them we get:

  1. 1+3+ 6 : 6 permutations
  2. 1+ 4+ 5 : 6 permutations
  3. 2+2+6: 3 permutations
  4. 2+3+5: 6 permutations
  5. 2 + 4 + 4: 3 permutations
  6. 3+3+4: 3 permutations

Total of permutations: 6 + 6 + 3 + 6 + 3 + 3 =27.

Thus we have 27 different ways of getting a sum of 10.

2) Now we're going to take a look at the combinations that sum up 9 and we're going to proceed in a similar way:

  1. 1 + 2 + 6: 6 permutations
  2. 1+3+5: 6 permutations
  3. 1+4+4: 3 permutations
  4. 2+ 3+ 4: 6 permutations
  5. 2+2 +5: 3 permutations
  6. 3+3+3: 1 permutation.

Total of permutations: 6 + 6 + 3 + 6 +3 + 1 = 25.

Thus we have 25 different ways of getting a sum of 10

And we can conclude that the probability of getting a total of 10 is larger than the probability to get a total of 9.

5 0
3 years ago
Find the domain and range of the function:<br> f(x) =5-x-3 to the square root<br> Domain:<br> Range:
mario62 [17]
Domain: ( -infinity, infinity ) , { x|x € R }
Range: ( -infinity, infinity ) , { y|y € R }
6 0
3 years ago
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