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2 years ago

1) the sum of three consecutive integers even is 3,2,1. find the integers.

Mathematics

1 answer:

BabaBlast [244]2 years ago

6 0

3)The original rational number was 17/12.

4)The age of Ruby and Reshma are 20 and 28 years respectively.

Explanation:

3)Let the numerator be x.

So denominator will be (x - 5)

If we add 5 to numberator then it will be (x + 5)

New number is (x + 5)/(x - 5)=11/6

Solve for X by cross multiplying

6(x + 5)=11(x - 5)

6x + 30=11x - 55

5x=85

x=17

So original rational number was 17/12.

4)The ages of Ruby and Reshma are in the ratio 5:7

So, let the present ages of Ruby and Reshma be 5x and 7x respectively.

Also, it is given that four years from now the ratio of their ages will be 3:4

So, the equation - 5x + 4 / 7x + 3 = 3/4

⇒4(5x+4)=3(7x+4)

⇒20x+16=21x+12

⇒21x−20x=16−12

⇒x=4

⇒5x=20 and 7x=28

The age of Ruby and Reshma are 20 and 28 years respectively.

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Now you must find two numbers who's sum equals 20 and their multiplication equal 93

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This means that you have to use the formula:

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2 years ago

An unfair coin with Pr[H] = 0.2 is flipped. If the flip results in a head, a marble is selected at random from a urn containin

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Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
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urn
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when heads is obtained
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blue - 4/10 - 0.4
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pr (R ∩ H) red - 0.6*0.2 = 0.12

when tails is obtained
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Answer:

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Step-by-step explanation:

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A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

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And, the ducks be $y.$

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Substituting the value of $x$ from equation (1) we get:

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Now, to get the number of chickens substituting the value of $y$ in equation (1):

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