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2 years ago

Solve (2x-1/4)+(x/3)=2 Please provide a step by step with explanation

Mathematics

1 answer:

andrew11 [14]2 years ago

7 0

Answer:

x = 27/10 or x = 2.7

Step-by-step explanation:

Step 1: Get rid of the denominator.

LCD of 4 & 3: 12

Multiply both sides by 12.

12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)

Reduce the numbers.

3 ( 2x - 1) + 4x = 24

Step 2: Distribute.

6x - 3 + 4x = 24

Step 3: Collect like terms.

6x + 4x = 24 + 3 ( - 3, the sign change when moved to the other side)

10x = 27

Step 4: Solve for x.

Multiply both sides by 10.

10x / 10 = 27 / 10 (the 10 cancels out)

x = 27 / 10 or x = 2.7

Answer: x = 27 / 10 or x = 2.7

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2 years ago

He climbed 16 yards in 32 minutes. What is the change in elevation each minutes?

ra1l [238]

Answer:

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3 years ago

The midpoint of AB is M(1, -4). If the coordinates of A are (-3,-6), what are the coordinates of B?

kramer

Answer:

The coordinates of B is (5,-2)

Step-by-step explanation:

In order to find the coordinates of B, you have to use midpoint formula. Then substitute the following values into the formula :

$m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

Let (x1,y1) be A (-3,-6),

Let (x2,y2) be B,

Let midpoint be M (1,-4),

$(1, - 4) = (\frac{ - 3 + x2}{2} , \frac{ - 6 + y2}{2} )$

$by \: comparison, \:$

$\frac{ - 3 + x2}{2} = 1$

$- 3 + x2 = 2$

$x2 = 5$

$\frac{ - 6 + y2}{2} = - 4$

$- 6 + y2 = - 8$

$y2 = - 2$

6 0

3 years ago

Select the correct answer from each drop-down menu.

Ivahew [28]

In 20 minutes, John can wrap 10 small boxes and Hank can wrap 12 small boxes. So, Hank can wrap more small boxes in 20 minutes than John can.

Step-by-step explanation:

Given,

John wraps;

2 small boxes = 4 minutes

1 small box = $\frac{4}{2} = 2\ minutes$

In 20 minutes,

20 minutes = $\frac{Total\ time}{Time per box} = \frac{20}{2}$

20 minutes = 10 small boxes

Hank wraps;

3 small boxes = 5 minutes

1 small box = $\frac{5}{3}\ minutes$

In 20 minutes = $\frac{Total\ time}{Time per box} = \frac{20}{5/3}$

$20\ minutes=\frac{20*3}{5}\\20\ minutes=\frac{60}{5}\\20\ minutes= 12\ small\ boxes\\$

In 20 minutes, John can wrap 10 small boxes and Hank can wrap 12 small boxes. So, Hank can wrap more small boxes in 20 minutes than John can.

Keywords: division, multiplication

Learn more about division at:

#LearnwithBrainly

8 0

3 years ago

Please help thank you!

Lena [83]

1 is D, an angle bisector only cuts the original angle in half.

2 is
9x - 18 = 3x
6x - 18 = 0
6x = 18
x = 3

3 is 9(3) - 18 = 27 - 18 = 9

6 0

3 years ago