The answer is the first one
The area of rectangle ABCD can be expressed in simplified form as: 8y^2 - 10y.
<h3>How to Calculate the Area of a Rectangle?</h3>
The area of a rectangle is calculated using:
Area = (length)(height).
We are given the following:
Length of rectangle ABCD = side DC = 4y - 5
Height of rectangle ABCD = side AD = 2y
The area of rectangle ABCD = (length)(height) = (4y - 5)(2y).
Expand the expression
The area of rectangle ABCD = 2y(4y) - 2y(5) [distributive property of multiplication]
The area of rectangle ABCD = 8y^2 - 10y
Thus, the area of rectangle ABCD can be expressed in simplified form as: 8y^2 - 10y.
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Answer:
larger is 119. smaller is 27
Step-by-step explanation:
x=larger y=smaller
x+y=146
x=5y-16
x=-y+146
5y-16=-y+146
6y=162
y=27
x=119
Answer:
The new area of the similar figure would actually be 256 square centimeters. Want to know why it would by 256 and not 128 like you think and like the other answer says? That is because they are not saying the area is being doubled they are saying that the SIDES are being doubled. Therefore if the area was 64 then one side was 8. If you double 8 it is 16. Then the area of the new figure would be 16*16 or 16 squared which equals to 256 centimeters squared.
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Let the fruit mixture of $5.7 per pound be for x pounds.
The nut of $14.55 per pound would then be: (10 -x).
Since the total blend of both = 10 pounds, selling for $9.24 per pound.
cost of 1st type + cost of second type = Total cost of blend mixture
5.7*x + 14.55*(10 - x) = 9.24*10
5.7x + 145.5 - 14.55x = 92.4
5.7x - 14.55x = 92.4 - 145.5
-8.85x = -53.1
x = -53.1/-8.85
x = 6
The other will be (10 -x) = 10 - 6 = 4.
She should use 6 lb of fruit mixture and 4 lb of nuts.