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3 years ago

Please help me3x - 12y = 60 x + 2y = 14will mark brainliest

Mathematics

1 answer:

Setler79 [48]3 years ago

7 0

Answer:

x = 8, y = 3

Step-by-step explanation:

3x - 12y = 60

x + 2y = 14

3x - 12y = 60

3x + 6y = 42 (multiply by 3 so the x is the same as the top equation)

6y = 18 (subtract the equations)

y = 18 / 6

= 3

To find x, substitute y into the 2nd equation since it is the simplest so:

x + 2(3) = 14

x + 6 = 14

x = 14 - 6

= 8

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The tree is 15 feet tall

Step-by-step explanation:

6 feet tall - 10 feet shadow

x feet tall - 25 feet shadow

x=(25*6)/10=15 feet

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3 years ago

At a certain hospital, the probability of a child being born female is 0.51. If 80 babies are born on the a certain day, the pro

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Answer :

0.53

Step-by-step explanation:

Given the following :

Probability of female = probability of success on a single trial = 0.51

Number of babies = 80

Probability that more than half of the babies are female : p(X >80/2) = P(X > 40)

The problem can be solved using the binomial probability function :

P(X > 40) = [ p(X= 41) + p(X= 42) +.... +p(X= 80)]

In other to save computation time, we can use the binomial probability calculator

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2 years ago

One watering system needs about three times as long to complete a job as another warning system when both systems operate at the

algol13

Answer:

One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

Step-by-step explanation:

Given:

Both the system can complete the job = 9 minutes

We need find the time required by each system to do the job.

Solution:

Let the time required by another watering system to complete the job be 'x' mins.

Now given:

One watering system needs about three times as long to complete a job as another watering system.

Time required by one watering system = $3x$

Rate to complete the job by another watering system = $\frac{1}{x}\ job/min$

Rate to complete the job by One watering system = $\frac{1}{3x}\ job/min$

Rate at which both can complete the job = $\frac{1}{9}\ job/min$

So we can say that;

Rate at which both can complete the job is equal to sum of Rate to complete the job by another watering system and Rate to complete the job by One watering system.

framing in equation form we get;

$\frac{1}{x}+\frac{1}{3x}=\frac19$

Now taking LCM to make the denominator common we get;

$\frac{1\times3}{x\times 3}+\frac{1\times1}{3x\times1}=\frac19\\\\\frac{3}{3x}+\frac{1}{3x}=\frac19\\\\\frac{3+1}{3x}=\frac{1}{9}\\\\\frac{4}{3x}=\frac{1}{9}$

By Cross multiplication we get;

$4\times9 =3x\\\\3x =36$

Dividing both side by 3 we get;

$\frac{3x}{3}=\frac{36}{3}\\\\x=12\ min$

Time required by One watering system = $3x =3\times 12 =36\ min$

Hence One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

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3 years ago

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77julia77 [94]

Answer:

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2 years ago

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