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slega [8]
3 years ago
8

One number is four times another number. The sum of their reciprocals is 1/4 . What are the numbers?

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0

Answer:

x=2, y=8

Step-by-step explanation:

Set up the equations:

4x=y

1/4x+1/y=1/4

---------------------

1/y+1/y=1/4

2/y=1/4

cross product

y*1=2*4

y=8

4x=8

x=8/4=2

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Write the equation of this circle in standard form.<br> please give answer?
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In your case, the center is (-4,0), and the radius is 2. Plug these values into the generic formula and you'll get the equation.

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The difference between the length and the width of a rectangle is 5 centimeters. What id the length (the longer side) of the rec
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3 0
3 years ago
Let AA and BB be events such that P(A∩B)=1/73P(A∩B)=1/73, P(A~)=68/73P(A~)=68/73, P(B)=21/73P(B)=21/73. What is the probability
krok68 [10]

Answer:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

Step-by-step explanation:

Let A and B events. We have defined the probabilities for some events:

P(A') =\frac{68}{73} , P(B) =\frac{21}{73} , P(A \cap B) =\frac{1}{73}

Where A' represent the complement for the event A

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

So for this case we can solve for P(A) like this:

P(A) = 1-P(A') = 1-\frac{68}{73}=\frac{5}{73}

And now we can find P(A \cup B) using the total probability rul given by:

P(A \cup B) = P(A)+P(B) -P(A \cap B)

And if we replace the values given we got:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

And that would be the final answer.

5 0
3 years ago
Michele is starting a new pool-cleaning business. It costs her $85 to purchase supplies. Michele charges $40 each time she clean
Alex787 [66]

Answer:

Option A : y = 40x - 85 is the correct answer.

Step-by-step explanation:

Given that:

Cost of purchasing supplies = $85

Cost charged for cleaning a pool = $40

Let,

x be the number of pools cleaned.

y be the profit

Profit = Cost of pools cleaned - purchase price of supplies

y = 40x - 85

Hence,

Option A : y = 40x - 85 is the correct answer.

8 0
3 years ago
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