Answer:
4x + 4y + 12
Step-by-step explanation:
x + 3y − y + 3x + 2(2 + 4 + y)
Apply Distributive Property:
2(2 + 4 + y)
2*2=4
2*4=8
2*y = 2y
x + 3y − y + 3x + 4 + 8 + 2y
Combine Like Terms:
x + 3x +2y +3y - y + 4 + 8
4x + 4y + 12
Answer:
6
Step-by-step explanation:
Multiply both numbers by -3. I suggest getting m a t h w a y its a good math website that's helpful.
Very easy!
6 people= 12 servings so 1 person= 2 servings
We have 112 people so we need 112 x 2= 224 servings
So she will make 224 servings with an 8 servings pan, 224/8= 28 pans.
The minimum number of pans she need in order to serve 112 people is 28 pans!
Answers:
- x = 7
- Area of shaded region = 162 square units
You may need to leave off the "square units" portion.
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Explanation:
For now, ignore the smaller rectangle and its dimensions. The larger rectangle has sides 3x and x+5, which I'll call the length and width.
L = 3x
W = x+5
The perimeter of any rectangle is P = 2(L+W). Plug in those values of L and W, and also the given perimeter P = 66. Isolate x.
P = 2(L+W)
2(L+W) = P
2(3x+x+5) = 66
2(4x+5) = 66
8x+10 = 66
8x = 66-10
8x = 56
x = 56/8
x = 7
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Now that we know x, we can find the area of the rectangles.
As you probably can guess, the shaded region is the difference of the two areas.
A = area of larger rectangle
A = (length)*(width)
A = (3x)*(x+5)
A = (3*7)*(7+5)
A = 252
B = area of smaller rectangle
B = (x+3)*(x+2)
B = (7+3)*(7+2)
B = 90
C = area of shaded region
C = A - B
C = 252 - 90
C = 162 square units is the area of the shaded region.
Answer:
180
Step-by-step explanation: