Answer:
Part A:
Expression 1: 0.7B
Expression 2: B - 0.3B
Part B:
$504
Step-by-step explanation:
Part A:
Original price: B
B is 100% of the price. The discount is 30%.
100% - 30% = 70%
After the discount, the price is 70% of the original price.
70% of B is the same as 0.7B
Expression 1: 0.7B
Original price: B
Discount: 30% of B
Discounted price = B - 30% of B = B - 0.3B
Expression 2: B - 0.3B
Part B:
Use Expression 1 to calculate the price.
0.7B = 0.7 * $720 = $504
According to the rule of similar polygons the ratio of corresponding sides of two polygons will be the same. So in this case the ratio of original length and shadow of a stick and ratio of length of flagpole and its shadow will be the same.
Length of Stick = 5 feet
Shadow of Stick = 8 feet
Shadow of flagpole = 32 feet
Length of flagpole = x = ?
Using rule of similar polygon we can write,

Therefore, the length of flagpole will be 20 feet.
Answer:
The mass of an object is directly proportional to its inertia.

Where
m = mass
I = inertia
Step-by-step explanation:
We can first of all start by defining the two key terms present here - mass and inertia.
The mass of an object is the quantity of matter contained in the object.
The inertia of an object is the resistance of an object which is in a state of rest to motion
The mass of an object is directly proportional to its inertia.
The heavier an object is, the more inertia it has. To put things into perspective, you can easily push a bicycle because it does not really have a lot of mass, as opposed to pushing an eighteen-wheeler trailer.
Answer:
2x+y < 7
Step-by-step explanation:
We are below the line which means less than ( since the line is dotted)
We need to determine the equation for the line
The y intercept is 7 and the slope is
( 0,7) and (2,3)
m = ( 3-7)/( 2-0) = -4/2 = -2
In slope intercept form ( y=mx+b)
y = -2x+7
Changing this to an inequality
y < -2x+7
Add 2x to each side
2x+y < 7
Answer:
A.
Step-by-step explanation:
Formula for volume is: Length x width x height.
5 x 8 x 1.5
Therefore, your answer is 60 ft^3.