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Levart [38]
3 years ago
15

Solve the equation. Explain or show your reasoning. 1/2 x -7 = 1/3 (x-12)

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0

Answer:

x = 18

Step-by-step explanation:

1: 1/2x - 7 = 1/3x - 4

2: 3/6x - 7 = 2/6x - 4

3: 3/6x = 2/6x + 3

4: 1/6x = 3

5: x = 18

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Michael drives to work each day. He travels a total of 160 miles at the end of the work week. How far is Michael's house from wo
kobusy [5.1K]

Answer:

16 miles

Step-by-step explanation:

Assume the working day in a week is 5.

Given:

Michael drives 160 miles at the end of the work week. therefore as per assumption,

5 days of travelling distance = 160 miles

To find the distance of Micheal's house from work.

Solution:-

5 days of travelling distance = 160 miles --------------------(given)

Now,

Per day driving for work = \frac{5\ days\ of\ travelling\ distance}{5}

Per day driving for work = \frac{160}{5}

Per day driving for work = 32\ miles

So, Micheal drives to work each day is 32 miles.

Therefore, the one side driving of Micheal is equal to distance of Micheal's house from work.

One side driving of Micheal = \frac{Per\ day\ driving}{2}

One side driving of Micheal = \frac{32}{2}

One side driving of Micheal = 16 miles

Therefore, the distance of Micheal's house from work is 16 miles.

4 0
3 years ago
10x-7x+3<br> simply plssss
lawyer [7]

Answer:

3x+3

plz mark brainliest

7 0
3 years ago
Read 2 more answers
Solve for x , 2x-11 -9+ x
romanna [79]
2x - 11
-9 + x
equate the equations
2x - 11 = -9 + x
bring like terms to one side
2x - 11 = -9 + x
- x   +11   +11  - x
-11 and +11 cancels out
+x and -x cancels out
2x - x = 11 - 9
x = 2


3 0
3 years ago
PLEASE HELP I WILL MARK YOU BRAINLIEST. FIND THE AREA
Mandarinka [93]

Answer:

<em>The family will need to purchase 187 square ft carpeting.</em>

Step-by-step explanation:

<u>Area of Rectangles</u>

Given a rectangle with width W and length H, the area is calculated as follows:

A = W * H

The new carpet of the family has the shape provided in the figure. We have completed the shape to add some missing dimensions by adding and subtracting the given lengths. Please refer to the attached image.

The total area of the carpet is the sum of the areas of three rectangles.

The rectangle at the bottom has dimensions 3 ft x 20 ft, thus its area is:

A1 = 3 ft * 20 ft = 60 square ft

The rectangle at the middle has dimensions 3 ft x 17 ft, thus its area is:

A2 = 3 ft * 17 ft = 51 square ft

The rectangle at the top has dimensions 4 ft x 19 ft, thus its area is:

A3 = 4 ft * 19 ft = 76 square ft

The total area of the carpet is:

A = 60 square ft + 51 square ft + 76 square ft

A = 187 square ft

The family will need to purchase 187 square ft carpeting.

7 0
2 years ago
Larry wants to buy some carpeting for his living room the length of the room is 2 times width and the total area of the room is
cluponka [151]
Draw a diagram!  Lets say the width is x, then the length must be 2x.
   
                       Area = length x width
                          2x x  x    = 8sq meters
                         2x^2       = 8
                          x^2        =4
                           x      =  √4
                            x    = 2

we found the width the length is two times the width, making it 4 meters.



7 0
3 years ago
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