8n−7y−12n+5−3y
=8n+−7y+−12n+5+−3y
Combine Like Terms:
=8n+−7y+−12n+5+−3y
=(8n+−12n)+(−7y+−3y)+(5)
=−4n+−10y+5
Answer:
0.18
Step-by-step explanation:
Given that:
P₁ = $10, P₂ = $20
From the tables Q₁ = 900, Q₂ = 800
Using midpoint method:
Percentage change in quantity = 
Percentage change in price =

Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18
The Price of elastic demand is positive because we took the absolute value and elasticity are always positive
Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.
This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded
To find three equivalent fractions of a fraction, simply multiply the fraction by a common factor.
For example, multiple both the numerator and denominator of 9/7 by 2.
This will give you a fraction of 18/14, which is equivalent.
You can do this with any number you like to create three equivalent fractions.
<h3>
Answer: 36 square units</h3>
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Explanation:
Draw a horizontal line to cut the figure into a rectangle on top and a triangle down below.
The rectangle has length and width of 6 and 4 (horizontal and vertical components respectively). The area of this rectangle is 6*4 = 24 square units.
The triangle has a base of 6 and a height of 4. The base and height of any triangle are always perpendicular.
The area of the triangle is base*height/2 = 6*4/2 = 24/2 = 12 square units. If you were to cut out half of the triangle and rearrange things, you'll find that a rectangle can be formed. This rectangle is half in area that of the first rectangle we found. This is why we divide by 2 when finding the area of the triangle.
Once you know the two sub-areas, we add them up to get the overall area: 24+12 = 36 square units.
Answer: The required ratio will be

Step-by-step explanation:
Since we have given that
Ratio of AD to AB is 3:2
Length of AB = 30 inches
So, it becomes

So, Length of AD becomes

Now, at either end , there is a semicircle.
Radius of semicircle along AB is given by

So, Area of semicircle along AB and CD is given by

Radius of semicircle along AD is given by

Area of semicircle along AD and BC is given by

And the combined area of the semicircles is given by

Area of rectangle is given by

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

Hence, the required ratio will be
