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3 years ago

How to solve 3x/7 - 1/2 = 1/14

Mathematics

1 answer:

nlexa [21]3 years ago

8 0

Answer: 4/3

Step-by-step explanation:

First off, we should all get the denominators to be the same.

14 is the LCM of each of the denominators, so:

3x / 7 times 2/2 = 6x/14

-1/2 times 7/7 = -7/14

and 1/14 is 1/14

So now we have

6x/7 + -7/14 = 1/14

We can multiply everything by 14 to get rid of the denominator completely, which leaves us with:

6x - 7 = 1

Then we just solve like a normal equation:

6x = 8

x = 8/6 , or 4/3

You might be interested in

What is the equation of the circle with center (−3, 1) that passes through the point (−5, 3)?

Mariulka [41]

Answer:

( x + 3)^2 + ( y - 1)^2 = 8

Step-by-step explanation:

The equation of a circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( x , y) - any point on the circle

( a, b) - center of the circle

r^2 - radius of the circle

( -3 , 1) - center - ( a, b)

a = -3

b = 1

( -5 , 3) - point - ( x, y)

x = -5

y = 3

Step 1: substitute the center into the equation

( x -(-3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + ( y - 1)^2 = r^2

Step 2 : sub the point into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( -5 + 3)^2 + ( 3 - 1)^2 = r^2

(-2)^2 + 2^2 = r^2

4 + 4 = r^2

8 = r^2

Step 3 : sub the radius into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + (y - 1)^2 = 8

Therefore, the equation of the circle is

( x + 3)^2 + (y - 1)^2 = 8

6 0

3 years ago

Jake’s map shows the distance from the Bake Stars Cafe to the restaurant supply store as 3 centimeters. If the scale of the map

Stolb23 [73]

Answer:

The real distance from shop to store is 24 kilometers.

Step-by-step explanation:

Given:

Distance from the Bake Stars Cafe to the restaurant supply store on map = 3 cm

Also Given:

Scale of the map 1 cm = 8 km

We need to find the real distance from the shop to the store.

Solution:

Now we know that;

Distance from shop to store on map =3 cm

1 cm = 8 km

3 cm = Real distance from shop to store

By using Unitary method we get;

Real distance from shop to store = $8\times3 =24 \ km$

Hence The real distance from shop to store is 24 kilometers.

8 0

3 years ago

Use the figure to find the radius.

BlackZzzverrR [31]

The answer is 4 (four)

3 0

3 years ago

The grounds keeper of Estofer Park has to mow 14,623 sq. ft. of grass. He can mow 13 sq. ft of grass in one minute. How many min

MA_775_DIABLO [31]

Answer: $1,124\frac{11}{13}\ minutes$

Step-by-step explanation:

Let be "x" the time in minutes that will take him to mow the entire park.

You know that he can mow 13 square feet in 1 minute and he has to mow 14,623 square feet.

Then, you can write the following proportion:

$\frac{1}{13}=\frac{x}{14,623}$

Solving for "x", you get:

$x=\frac{14,623}{13}\ min$

To write that improper fraction as a mixed number:

- The quotient when you divide the numerator by the denominator of the fraction obtained, is $1,124$ (This will be the whole number).

- The remainder of that division is $11$ (This will be the numerator of the fraction).

- The denominator does not change.

Then:

$x=1,124\frac{11}{13}\ min$

8 0

3 years ago

What is the value of x

djyliett [7]

Hey there!

Assuming #1 ….

x + 7x + x = 180°
REWORD

1x + 7x + 1x = 180°

COMBINE the LIKE TERMS

(1x + 7x + 1x) = 180°

8x + 1x = 180°

9x = 180°

DIVIDE 9 to BOTH SIDES

9x/9 = 180/9

CANCEL out: 9/9 because it equal 1

KEEP: 180/9 because it give you the x-value

NEW EQUATION: x = 180/9

SIMPLIFY IT!
x = 20
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Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

3 0

2 years ago

Read 2 more answers