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yuradex [85]
2 years ago
4

Joe and Kyle share an amount of money In the ratio 7:n

Mathematics
1 answer:
amid [387]2 years ago
4 0

Answer:

n = 20

Step-by-step explanation:

<u>Step 1</u>:-

Joe and Kyle share an amount of money In the ratio 7:n and also

Joe get 35% of the money.

Therefore 7:n =  35%

\frac{7}{n} = \frac{35}{100}

cross multiplication we get 7 X 100 = 35n

n = \frac{7 X 100}{35}

n =20

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valentinak56 [21]

Answer: 1.   1,906,500

 2.   840

Step-by-step explanation:

1. Given: There are 125 juniors at the high school.

Total positions = 3    [president,vice president, and secretary]

Then, Number of ways to elect a  president,vice president, and secretary( which is in order) out of  125 juniors = ^{125}P_{3}=\dfrac{125!}{(125-3)!}  [Using permutations]

=\dfrac{125!}{122!}\\\\=\dfrac{125\times124\times123\times122!!}{122!}\\\\=125\times124\times123\\\\=1906500

Hence, Required ways =1906500

(2) Given word : "RHOMBUS"

Total letters= 7

By permutation, the umber of 4-letter arrangements = ^7P_4=\dfrac{7!}{(7-4)!}=\dfrac{7!}{3!}

=\dfrac{7\times6\times5\times4\times3!}{3!}\\\\= 7\times6\times5\times4\\\\=840

Hence, required ways = 840

7 0
2 years ago
Find the first partial derivatives of the function. (sn = x1 + 2x2 + ... + nxn; i = 1, ..., n. give your answer only in terms of
liq [111]

Answer:

  ∂u/∂xi = i·cos(sn)

Step-by-step explanation:

For u = sin(v), the partial derivative of u with respect to xi is ...

  ∂u/∂xi = cos(v)·∂v/xi

In this case, v=sn, and ∂sn/∂xi = i, so the derivatives of interest are ...

  ∂u/∂xi = i·cos(sn)

6 0
2 years ago
If Machine A makes a yo-yo every five minutes and Machine B takes ten minutes. How many hours would it take them to make 20yo−yo
olga nikolaevna [1]

Answer:

Time in minutes = 66 2/3

Time in hours = 1.11

Step-by-step explanation:

Problem:

Time taken by both machine to make 20  yo-yo

let the time taken be x minutes

Given

Time taken by machine A  to make 1 yo-yo = 5 mins

No. of yo-yo made by machine A in x minutes = x/5

Time taken by machine B  to make 1 yo-yo = 10 mins

No. of yo-yo made by machine B in x minutes = x/10

Total no. of yo-yo made by both the machine = x/5 + x/10 = (2*x+x)/10

Total no. of yo-yo made by both the machine = 3x/10

But given that together they made 20 yo -yo

Thus,

3x/10 = 20

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Thus, it took 66 2/3 minutes to make 20 yo-yo by both of them

In one hour there is 60 minutes

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4 0
2 years ago
Jason is decorating his house and decides to paint one of the bedrooms blue. One tin of 500mL blue paint costs $11.50. To finish
adell [148]
1.You have that:
<span> 
 - One tin of 500 mL blue paint costs $11.50.
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</span><span> 
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</span><span> 
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 The answer is: $92.00</span><span> 
</span>
8 0
2 years ago
22 customers are eating dinner at an Italian restaurant. Of the 22 customers, 18 order pizza, 10 order a salad, and 8 order pizz
Ne4ueva [31]

Answer:

Step-by-step explanation:

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P(A and B) = 8/22

P(A or B) = 18/22 * 10/22 = 0.37

4 0
2 years ago
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