Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope (and always the factor of x). it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
b is the y-intercept, the y value of the point, where the line crosses the y-axis (in other words : the y value when x = 0).
so, look at the chart. where do we see points with integer coordinates (these are the easiest to read correctly and work with) ?
I see for example (0, -6) and (4, -7).
to go from the first to the second point :
x changes by +4 units (from 0 to 4).
y changes by -1 unit (from -6 to -7).
the slope a is therefore -1/4.
and the first point i picked gives us also automatically the y-intercept (-6).
so, the line equation is
y = (-1/4)x - 6
Since the problem said he uses 160 feet of fence, you know that is the perimeter
P = 2l + 2w
You know that one of the dimensions is 50, so you can plug that into the equation
160 = 2 x 50 + 2w
160 = 100 + 2w
2w = 60
w = 30
The area is equal to l x w
50 x 30 = 1500 square feet
Okay so 18/45 = 2/5 in simplest form. hope this helped
The Law Of Syllogism, which is also called Reasoning by Transitivity, is basically if a = b and b = c, then a = c, which is also the transitive property. Hence the alternate name. It can be used for mathematical deductions and is mainly used in the unit of logic statements, such as conditional and inverse statements. Here is an example:
If it is raining today, then I will wear my raincoat.
If I wear my raincoat today, then I will wear my boots.
When we use the Law of Syllogism, we get:
If it is raining today, then I will wear my boots.
Hope this helps and have a nice day!
Answer:
Per ounce better buy is <em>Happy popcorn</em>.
Step-by-step explanation:
Given that:
Happy popcorn price for 16 ounces = $1.39
Popper popcorn price for 34 ounces = $2.79
Discount coupon present with Gabe = 40 ¢ = $0.40
To find:
Which brand is the better buy per ounce?
Solution:
First of all, let us calculate the price that Gabe has to pay after the discount coupon being applied.
Price for 16 ounces of Happy popcorn after discount = $1.29 - $0.40 = $0.99
Price for 1 ounce of Happy popcorn after discount = 
= $0.062
Price for 34 ounces of Popper popcorn after discount = $2.79 - $0.40 = $2.39
Price for 1 ounce of Popper popcorn after discount = 
= $0.070
Clearly, per ounce price of Happy popcorn is lesser than that of Popper popcorn.
Therefore per ounce better buy is <em>Happy popcorn</em>.
