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malfutka [58]
3 years ago
11

The sum of the reciprocal of a number and 3/5 is 7/10 find the number

Mathematics
1 answer:
atroni [7]3 years ago
7 0

The number is 10

Step-by-step explanation:

Let x be the number then the reciprocal will be 1/x

according to given statement

The sum of the reciprocal of a number and 3/5 is 7/10

\frac{1}{x}+\frac{3}{5} = \frac{7}{10}\\Taking\ LCM\\\frac{5+3x}{5x} = \frac{7}{10}\\Cross-multiplying\\10(5+3x) = 7(5x)\\50+30x=35x\\Subtracting\ 30x\ from\ both\ sides\\50+30x-30x=35x-30x\\50=5x\\Dividing\ both\ sides\ by\ 5\\\frac{5x}{5} = \frac{50}{5}\\x=10

The number is 10

Keywords: Linear Equations

Learn more about linear equations at:

  • brainly.com/question/4163549
  • brainly.com/question/4168505

#LearnwithBrainly

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Given the function f(x) = 3x, find the value of f−1(27). f−1(27) = 1 f−1(27) = 3 f−1(27) = 9 f−1(27) = 81
Mariulka [41]
Fun fact
if f(a)=b then f⁻¹(b)=a
so
if f⁻¹(b)=a then f(a)=b
 
so we find f(x)=27 and the solve for x

f(x)=3x=27
3x=27
divide both sides by 3
x=9

so if f(9)=27 then f⁻¹(27)=9
problem solved

answer is 9
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3 years ago
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aleksandr82 [10.1K]
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5 0
3 years ago
Read 2 more answers
Three more than the quotient of a number and 8 is 9
Alborosie

Answer:

48

Step-by-step explanation:

x/8+3=9

x/8=9-3

x/8=6

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4 0
3 years ago
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When 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?
vovangra [49]

Answer:

Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

Step-by-step explanation:

We need to simplify the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

First we will solve terms inside the bracket

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

Converting mixed fraction 1\frac{1}{2} y into improper fraction, we get: \frac{3}{2}y

Replacing the term:

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)

Now, combine like terms

2(36x-15x-90y+40y-180)\\2(21x-50y-180)

Now, multiply all terms with 2

42x-100y-360

So, Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

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Basically, what you will do is 540 divided by 6

When you divide that, you should get, 90 parcels.

Hope this helps! Have a good rest of your day! c:
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