Answer:
20/7 or 2 and 6/7
Step-by-step explanation:
This equation works out to 2/1 • 10/7, which we can easily see equals 20/7, or 2 and 6/7, by multiplying the numerators and denominators.
The way Maria calculates the final price of the book is correct. We know that the book normally sells for $26.50 plus a 10% sales tax. We also know that the students will receive an additional 25% discount. We must understand that the sales tax is applied to the discounted price. So first we will calculate 25% of 26.50 and subtract it from that amount. So the price will then be: (26.50 - 6.625). The price is now $18.34. Then to calculate the tax, it will be (10% * 18.34), so 1.834. We add this amount to the discounted price so: (18.34+1.834) = 20.12.
The final price of the book is $20.12 and Maria can get it and still save a little money
Number of faces: F=a+3
Number of vertices: V=2a
Number of edges: E=4a-1
V+F-E=2
Replacing V=2a; F=a+3; and E=4a-1 in the formula above:
(2a)+(a+3)-(4a-1)=2
Eliminating parentheses:
2a+a+3-4a+1=2
Adding similar terms:
(2+1-4)a+(3+1)=2
(-1)a+4=2
Solving for a. Subtracting 4 both sides of the equation:
(-1)a+4-4=2-4
(-1)a=-2
Dividing both sides by (-1)
(-1)a/(-1)=-2/(-1)
a=2
Answer: The value of a is: a=2
A and b have the greatest common factor 4, so suppose a=4x, b=4y
the least common multiple of 4x and 4y is 4xy, and 4xy=48, so xy=12
ab=4x*4y=16xy=16*12=192
(the integers are either 4 and 48 or 12 and 16, but that's not what is being asked here.)
