Y = -3(2) +22
Y = -6 +22
Y = 16
B.) 23
the equation set up is “ 4x+13=105 “
do -13 on both sides which would then leave you with “ 4x=92 “. then you just divide 4x on both sides, giving you the answer of 23 :D
Answer:
Sale price is $12 which is 80% of the regular price.
Step-by-step explanation:
A large two-topping Pizza is 20% off the regular price of $15.
Therefore, the sale price is dollars. (Answer)
Now, let us assume that x% of regular price i.e. $15 is the sale price i.e. $12.
So,
⇒
⇒ x = 80% (Answer)
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.