Answer:
[see below]
Step-by-step explanation:
The equation is in the form:
y = kx
Where k is the constant of proportionality.
Since 1/4 is in k's spot, the constant of proportionality should be '1/4'.
Hope this helps.
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Answer:
Please check the explanation.
Step-by-step explanation:
<u>Calculating the area of the outer rectangle:</u>
Given
- The length outer rectangle = l = 3x - 1
- The width of outer rectangle = w = 5x + 2
Thus,
The area of the outer rectangle:
<u>Calculating the area of the inner rectangle:</u>
Given
- The length inner rectangle = l = x + 7
- The width of inner rectangle = w = x
Thus,
The area of the outer rectangle:
A = wl
= x(x+7)
= x² + 7
<u>Calculating the area of the shaded region:</u>
As
The area of the outer rectangle = 15x² + x - 2
The area of the inner rectangle = x² + 7
- The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.
Thus,
shaded region Area = Outer Rectangle Area - Inner Rectangle Area
= 15x² + x - 2 - (x² + 7)
= 15x² + x - 2 - x² - 7
= 14x² + x - 9
Therefore, the Area of the shaded region is: 14x² + x - 9
Answer:
When customers wait longer for tables, they are more likely to pay higher prices.
Step-by-step explanation:
Supply/Demand relationships predict that changing one side will influence the other. If demand exceeds capacity, suppliers can raise prices without risk of losing products sold. In fact, total income will rise. The restaurant may raise it's price to the point that supply meets demand. In this case, the goal of the higher priced meals is to reduce wait times, not meals sold. If the meals sold are all at a higher price/meal, then income rises and wait times are reduced. What's not to like, if you own the restaurant?
a) Volume of Rectangular prism is
b) Volume of cube is
c) Volume of cube is
d) Volume of Rectangular prism is
Step-by-step explanation:
Part a)
Volume of rectangular prism with
length=
width=
height =
The formula used to find Volume of rectangular prism is:
Putting values:
So, Volume of Rectangular prism is
Part b)
Volume of cube with side length of
The formula used to find Volume of cube is:
Putting value of length and finding volume:
So, Volume of cube is
Part c)
Volume of cube with side length of
The formula used to find Volume of cube is:
Putting value of length and finding volume:
So, Volume of cube is
Part d)
Volume of rectangular prism with
length=
width=
height =
The formula used to find Volume of rectangular prism is:
Putting values:
So, Volume of Rectangular prism is
Keywords: Volume
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