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Mariana [72]
3 years ago
12

Susan placed a picture in a frame. The picture is x inches wide. The pictures length is 2 inches greater than the width. The fra

me is 1 inch wide on all sides. The perimeter of the frame is 32 inches. Write an expression that represents the width of the frame.

Mathematics
1 answer:
enyata [817]3 years ago
7 0

x + 2

Step-by-step explanation:

2 ( x + 2) + 2 (x + 4) = 32

2x + 4 + 2x + 8 = 32

4x + 12 = 32

4x = 32 – 12

4x = 20

x = 5

Width of picture  = 5 inches

Length of picture (x + 2) = 7 inches

Length of frame = x + 2 + 2 = 9 inches

Width of frame = x + 2 = 7 inches

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3 years ago
Simplify completely
Mandarinka [93]

Answer: x+2 / x+ 9, x = -2, x=-9   ( A )

Solution:

Breakdown the problem into two sets

Step 1:  simplify x^2 -10x - 24

Factorize the above equation,

Multiply the last term (24) with the first term coefficient i.e. 1

Step 2: Then, find the factors of 24 in a way that when you add or subtract it sums up to 10

x2 - 12x + 2x - 24  >>>>  (x2-12x) + (2x-24) >>> take common

>>>> x(x-12) + 2( x-12)

Step 3:   (x + 2)  (x - 12)

Step 4: Step 1:  simplify x^2 - 3x - 108 using the same steps

x2 - 12x + 9x - 108 >>>>  take common x(x-12) + 9 ( x -12) >>>

(x + 9)  (x - 12) final product

Now, Simplify the equation as a whole

 (x + 2)  (x - 12) /  (x + 9)  (x - 12)                         Note:  (x - 12) cancels out  

=  (x + 2) /  (x + 9)     with x= -2 and x= -9

6 0
3 years ago
When simplifying rational numbers, what would the answer be to 57/69
Irina-Kira [14]
You don't simplify rational numbers, but sometimes you can simplify a fraction.
The way to do that is to divide the top and bottom by their greatest common factor.

The greatest common factor of 57 and 69 is 3 .  When you divide the top and
bottom by 3 , you have  19/23 .  That's the simplest form of that particular fraction.
5 0
3 years ago
Read 2 more answers
Fractions on a line plot
koban [17]

Answer:

1/8 or

1 1/2

Step-by-step explanation:

necesitas contar la xx

3 0
2 years ago
Point A is at (-7,5) and point B is at (7,3) what is the midpoint
AleksandrR [38]

Answer:

The midpoint between A(-7, 5) and B (7, 3) is: (0, 4)

Step-by-step explanation:

Given the points

  • A (-7, 5)
  • B (7, 3)

Determining the midpoint between A(-7, 5) and B (7, 3)

M.P_{AB\:}=\:\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

\left(x_1,\:y_1\right)=\left(-7,\:5\right),\:\left(x_2,\:y_2\right)=\left(7,\:3\right)

             =\left(\frac{7-7}{2},\:\frac{3+5}{2}\right)

             =\left(0,\:4\right)

Therefore, the midpoint between A(-7, 5) and B (7, 3) is: (0, 4)

8 0
3 years ago
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