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3 years ago

Which is the solution to the equation 1/4x-1/8=7/8+1/2x

Mathematics

2 answers:

ivann1987 [24]3 years ago

5 0

Answer:

x = -4

Step-by-step explanation:

1/4x-1/8=7/8+1/2x

Add 1/8 to each side

1/4x-1/8+1/8=7/8+1/8+1/2x

1/4 x = 1 + 1/2x

Subtract 1/2x from each side

1/4x -1/2x = 1 + 1/2x -1/2x

Getting a common denominator for the x terms

1/4x -2/4x =1

-1/4x = 1

Multiply by -4

-4 * -1/4x = 1* -4

x = -4

timofeeve [1]3 years ago

4 0

Answer:

x = -4

Step-by-step explanation:

Step 1: Subtract 1/2x on both sides

-1/4x - 1/8 = 7/8

Step 2: Add 1/8 on both sides

-1/4x = 1

Step 3: Divide both sides by -1/4

x = -4

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Solve and check.

Thepotemich [5.8K]

C/3 = 6 1/7

Multiply 3 to both sides:

C = 6 1/7 * 3

Convert 6 1/7 into an improper fraction:

C = 43/7 * 3

Multiply 3 to the numerator:

C = 129/7

Convert back into a mixed number:

C = 18 3/7

5 0

3 years ago

Read 2 more answers

D= V(x2 - 1)2 + (12 - y1)?

Mrac [35]

Answer:

The approximate length of segment EF is 7 unit

Step-by-step explanation:

Given figure is the graph having E and F coordinate

The coordinate of point E = ( $x_1$ , $y_1$ ) = ( - 2 , -4 )

The coordinate of point F = ( $x_2$ , $y_2$ ) = ( 2 , 2 )

Let The distance between the points E and F = D

So, D = $\sqrt{(x_2 - x_1)^{2} + ( y_2 - y_1 )^{2} }$

or, D = $\sqrt{(2 - (- 2 ))^{2} + ( 2 - ( - 4 ))^{2} }$

Or, D = $\sqrt{( 4 )^{2} + ( 6 )^{2} }$

or, D = $\sqrt{16 + 36}$

∴ D = $\sqrt{52}$

I.e D = 7.21 unit

So, Approximate value of D = 7 unit

Hence The approximate length of segment EF is 7 unit . Answer

8 0

3 years ago

Help! I have no idea!

qwelly [4]

I believe is C and D because

C. The original rectangle width is 2m and the length is 4m. And to make the other rectangle they are adding .5 m to both the width and length

D. The original rectangle has a width of 2m and length of 4m. To make the other rectangle they are substracting 1 m from the width and length

5 0

3 years ago

A hudson valley farmer has 26 employees.He pays each employee $410 per week.After paying his workers for one week,the farmer has

Sliva [168]

Hi there!

A valley farmer has 26 employees and he pays each of them $410 per week.

After paying them for one week he has $162 dollars left. We need to find how much money he had at first.

So the first step is to multiply $410 on 26 since he gives 410 dollars to each employee, which he has 26.

$410 · 26 = $10,660

So he had $10,660 before he paid the workers, but he still had $162 left. To find out his overall total of money he had we need to add $10,660 and $162 which will be $10,822.

The farmer had $10,822

Hope this helped!~

4 0

3 years ago

Drag and drop formal proof. Prove the Polygon Exterior Angle Sum Theorem for the enclosed triangle, that is ∠1+∠2+∠3=360°

jasenka [17]

Answer:

The sum of all the external angles of a triangle is 360°.

Step-by-step explanation:

Let there are n sides in a polygon.

So, there are n internal angles in the polygon, let ∠i1, ∠i2, ∠i3, ..., ∠in are the measure of n internal angles of the polygon.

The measure of external angle corresponding to ∠i1, ∠1= 180°-∠i1,

The measure of external angle corresponding to ∠i2, ∠2 = 180°-∠i2,

Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.

Now, the sum of all the external angles of the polygon,

(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)

=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)

=n x 180° - (∠i1+∠i2+...+∠in)

As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.

So, the sum of all the external angles of the polygon =

(n x 180°) - (sum of all the internal angles of the polygon).

In the case of a triangle, n=3 and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.

Therefore, the sum of all the external angles of a triangle,

∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)

=540°=180°

=360°.

Hence, the sum of all the external angles of a triangle is 360°.

5 0

3 years ago