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icang [17]
4 years ago
13

The larger of two numbers is 7 times the smaller number. Three times the larger number is 7 more than 4 times the smaller number

. Find the numbers.
PLEASE HELP!!! I BEG!! THIS IS DUE TODAY!!!
Mathematics
1 answer:
V125BC [204]4 years ago
6 0
X>Y
X=7Y
3X=7+4Y
X=?
Y=?
----------------------------
3*7=7+4Y
21Y=7+4Y
21Y-4Y=7
17Y=7
Y=7/17
----------------------
X=7*7/17
X=49/17
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The total time taken to fill the bucket completely is 3 hours 45 minutes

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Then the time take by one tap to fill half of the bucket= 3 hours

Part filled by one tap in one hour =\frac{1}{6}

Part filled by four taps in one hour =4(\frac{1}{6})=\frac{4}{6}=\frac{2}{3}

Given, that after half the bucket is filled, three more similar taps are opened

Then the remaining part = 1-\frac{1}{2}=\frac{1}{2}

Time taken to fill the half of the bucket= (\frac{1}{2} )(\frac{2}{3})=\frac{3}{4} hours

Convert the hours to minutes

(\frac{3}{4})60=45 minutes

Therefore,

Total time taken to fill the bucket= The time taken by one tap to fill half of the bucket+  Time taken by 4 taps to fill the half of the bucket

=3 hours+ 45 minutes

=3 hours 45 minutes

Hence, The total time taken to fill the bucket completely is 3 hours 45 minutes

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For f(x)=3x+1 and g(x)=x²-6, find (f-g)(x)
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The value of (f - g)(x) is -x² + 3x + 7.

<h3>What is Function?</h3>

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

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Now,

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Thus, the value of (f - g)(x) is -x² + 3x + 7.

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Answer:

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