All categories

3 years ago

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:

#LearnwithBrainly

You might be interested in

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

7 0

3 years ago

PLEASE HELP !!!!!!!!!! I'LL GIVE BRAINLIST!!!!!!

aleksandr82 [10.1K]

It is 189 the answer

5 0

3 years ago

Read 2 more answers

Three more than the quotient of a number and 8 is 9

Alborosie

Answer:

Step-by-step explanation:

x/8+3=9

x/8=9-3

x/8=6

x=6*8

x=48

4 0

3 years ago

Read 2 more answers

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 $\mathbf{42x-100y-360}$

3 0

3 years ago

A 540-acre piece of land is being divided into 6-acre parcels. how many parcels will there be?

ryzh [129]

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:

4 0

3 years ago