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Nostrana [21]
3 years ago
8

One number is 4 times as large another. The sum of their reciprocals is 45/4. Find the two numbers

Mathematics
2 answers:
AfilCa [17]2 years ago
8 0
<em>9 because 9*5=45 that the answer I hope you like it </em><em />
Reptile [31]2 years ago
7 0
Let, 
the numbers be "x" and "y"
According to the question,
x = 4y ......................................................equation (1)

\frac{1}{x} + \frac{1}{y}= \frac{45}{4}...................................equation (2)

Taking equation (2)
\frac{1}{x} + \frac{1}{y}= \frac{45}{4}

Substituting the value of "x" from equation (1), we get,

\frac{1}{(4y)} + \frac{1}{y}= \frac{45}{4}

\frac{1}{4y} + \frac{1}{y}* \frac{4}{4} = \frac{45}{4}

\frac{1}{4y} + \frac{4}{4y}= \frac{45}{4}

\frac{1+4}{4y} = \frac{45}{4}

\frac{5}{4y} = \frac{45}{4}

Cross multiplying, we get,

5*4 = 45*4y

20 = 180y
<u />
\frac{20}{180}  = y

\frac{1}{9}  = y

y =  \frac{1}{9}

Now,
Taking equation (1)
x = 4y
Substituting the value of "y", we get

x = 4( \frac{1}{9} )

x= \frac{4}{9}

So, the numbers are \frac{1}{9} and \frac{4}{9}

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Xander spends most of his time with his 10 closest friends. he has known 4 of his 10 friends since kindergarten. if he is going
Mademuasel [1]

Probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third not is 1/10

Total friends = 10

Friends from kindergarten = 4

Probability is the chance that a given event will occur. Probability of an event lies within 0 to 1

P(E) = Favourable outcomes / Total outcomes

Probability of getting 1st friend from kindergarten = 4/10

Probability of getting 2nd friend from kindergarten = 3/9

Probability of getting 3rd friend not from kindergarten = 6/8

Since all these probabilities are independent, We can use Multiplicative identity.  Thus,

Required probability is 4/10 * 3/9 * 6/8

= 1/10

Thus, Probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third not is 1/10

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brainly.com/question/7514534

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2 years ago
Write a recursive rule and an explicit rule for each arithmetic sequence.
I am Lyosha [343]
Hope this helps!! Lol

6 0
3 years ago
A cell phone plan cost $200 to start. Then there is a $50 charge each month.
andreev551 [17]

Answer:

1) $250

2) $200 + $50x

Step-by-step explanation:

1)

$200 (start up fee) + $50 * ( 1 month ) = $200 + $50 = $250

2)

$200 (start up fee) + $50 * ( x months ) = $200 + $50x

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5 0
3 years ago
You are assigned 32 math exercises for homework. You complete 87.5 of these before dinner. How many do you have left to do after
VARVARA [1.3K]

Answer:

4

Step by step:

This is if the question is saying you completed 87.5% of the exercises. Otherwise, I don't know what it is asking.

87.5% of 32=28

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