Part (a)
The picture alone, without the frame, is 16 by 20
When accounting for the frame, the larger rectangle is 16+2x by 20+2x
We add up all four sides to get the perimeter
(16+2x)+(20+2x)+(16+2x)+(20+2x)
8x+72
or you can use this perimeter of a rectangle formula
P = 2(L+W)
P = 2(20+2x+16+2x)
P = 2(4x+36)
P = 8x+72
Answer: 8x+72
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Part (b)
Multiply the length and width to find the area of the rectangle.
area = length*width
A = L*W
A = (20+2x)*(16+2x)
A = 20(16+2x) + 2x(16+2x)
A = 320+40x + 32x + 4x^2
A = 4x^2 + 72x + 320
Answer: 4x^2 + 72x + 320
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Part (c)
Plug x = 2 into the perimeter equation found in part (a)
P = 8x+72
P = 8*2+72
P = 16+72
P = 88
Now plug x = 2 into the area equation found in part (b)
A = 4x^2 + 72x + 320
A = 4(2)^2 + 72(2) + 320
A = 4(4) + 72(2) + 320
A = 16 + 144 + 320
A = 160+320
A = 480
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Answers:
Perimeter = 88 inches
Area = 480 square inches
The top number is your rise and your bottom number is your run and when you graph all the points on a graph the point that crosses the y-axis is your y-intecept.
Answer:
the game must be played in groups of 13 draws, with a cost of $28 for the 13 draws.
Step-by-step explanation:
Probability of drawing any of the 13 balls is the same. So the expected value of play is the average of the values of each card.
The only losing card is the ace; the player loses $20 if that card is drawn.
Each of the 3 face cards wins $10; each of the remaining 9 cards wins $2.
So the average value of each draw is
= 28/13
Therefore, on average the player will win $ 28/13. to be a fair game the player must pay $28/13 for a game.
that is not possible, unless the game must be played in groups of 13 draws, with a cost of $28 for the 13 draws.
Answer:
the answer is 21x+5
Step-by-step explanation:
because there are 2 x and if you multiply 7x and 3x it will be 21 than you put the x, so 21x And then add the +5 so it Will be 21x+5
