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AURORKA [14]
3 years ago
13

1/x + 1/4 = 7/12 solve for x

Mathematics
1 answer:
Licemer1 [7]3 years ago
5 0
Given equation is
\frac{1}{x} +  \frac{1}{4} =  \frac{7}{12}

We can solve it by subtracting 1/4 both side
\frac{1}{x} +  \frac{1}{4} -  \frac{1}{4} =  \frac{7}{12} -  \frac{1}{4}

\frac{1}{x} =  \frac{7}{12} -  \frac{1}{4}
                          =  \frac{7 - 3}{12}
                          =  \frac{4}{12}
                          =  \frac{1}{3}

So \frac{1}{x} =  \frac{1}{3}
On comparing x = 3.

SO the solution of equation is x = 3
You might be interested in
Find the angle between the given vectors to the nearest tenth of a
pochemuha

Answer: 109.1 degrees

Step-by-step explanation:

To find the angle between the given vectors, we will use the formula below:

Cos(θ) = (U.V)/ |U|.|V|

Where

U = 13i - 8j

V = 2i + 9j

U.V = (2x13) + (-8×9)

U.V = 26 - 72

U.V = - 46

|U| = sqrt ( 13^2 + 8^2)

= sqrt ( 233) = 15.264

|V| = sqrt( 2^2 + 9^2)

= sqrt ( 85 ) = 9.22

Substitute all the value of the parameters into the formula

Cos ø = -46 / (15.3 × 9.2)

Cos ø = - 46 / 140.72

Cos Ø = - 32687

Find the cos inverse of the value

Ø = cos^-1( -32687)

Ø = 109.079 degrees

Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees

6 0
3 years ago
Someone help and please answer it fully
IRINA_888 [86]

Answer:

No, Matt did not solve the equation correctly

Correct Answer: x = 8

Step-by-step explanation:

4(x + 2) = 30

Step 1: Distribute

4x + 2 = 30      =>     This is his mistake, he should completely distribute 4    

                                  to x and 2

Step 2: Subtract 2 from both sides/Isolate x

4x = 28           =>      This part is done correctly, but wrong because of Step 1

Step 3: Divide both sides by 4

x = 7                =>      This is correct, but again, he messed up on Step 1

<h3>Let's find the correct answer to this equation:</h3><h3>4(x +2) = 30</h3>

Step 1: Distribute

Remember to distribute 4 to all terms in the parenthesis.

4(x + 2) = 4(x) + 4(2)

            = 4x + 8

4x + 8 = 30

Step 2: Subtract 8 from both sides/Isolate x

Move all the terms that do not belong to x to the other side. We can do this by subtracting 8 from both sides  => (opposite operation of adding 8)

4x + 8 = 30

4x = 30 - 8

4x = 32

Step 3: Divide both sides by 4/Isolate x

Now we want x by itself. Since x is being multiplied by 4, we have to use the opposite operation, dividing by 4, to have x on one side by itself

4x = 32

4(x) = 32

x = 32 ÷ 4

x = 8

-Chetan K

7 0
2 years ago
Please explain to me how to do this thank you
brilliants [131]
The answer is 100 sections. You get this by converting 2 meters which will be 200 cm then just divide 200 by 10 and you get 100! Hope this helps sorry if I get it wrong
8 0
3 years ago
Get brainlist!!!!
bonufazy [111]
The answer are
1) gain
Because they asked the price of detergent per load
2) 0.38 per dollar
In this we have to divide 9.25/25
8 0
3 years ago
Help(Worth 20 Points)
Alik [6]

Answer:

24

Step-by-step explanation:

1.-12

2.-12×2=-24

3.24

4 0
3 years ago
Read 2 more answers
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