Cost of items = $23.45
Tax = 8% of $23.45 = 0.08*23.45 = $1.88
Tip = 20% of $23.45 = 0.2*23.45 = $4.69
Total cost = 23.45 + 1.88 + 4.69 = 30.02
Answer: $30.02
There are quite a few websites that have factor lists. Also, if you can find the biggest number that goes into it, then all of the factors of that number go into it as well.
Short answer: B
Remark
A 45 degree angle means that the height is the same length as part of the base. But which part?
Givens
b1 = 9 feet
b2 = 23 feet
and the 45 degree angle on the right.
Determine the height.
The part of the base that is associated with the 45 degree angle is found by subtracting b1 from b2
b2 - b1 = 23 - 9 = 14
So 14 is also the height
Find the Area
A = 1/2 (b1 + b2)*h
b1 = 9
b2 = 23
h = 14
Area = 1/2(9 + 23) * 14
Area = 1/2 (32) * 14
Area = 16 * 14
Area = 224 <<<< answer
[x] represents floor function also called as Greatest integer function.
Floor function is the function that takes as input a real number and gives as output the greatest integer less than or equal to.
like [1.5]=1
[0.7]=0
[-0.3]=-1
Now we have to find set of x-values which satisfies equation [x-1]=[x]
Due to -1 in [x-1], it always produces output value one less than value of [x]
for example when x=0.5 then [x]=[0.5]=0, [x-1]=[0.5-1]=[-0.5]=-1
when x=1.5 then [x]=[1.5]=1, [x-1]=[1.5-1]=[0.5]=0
when x=3 then [x]=[3]=3, [x-1]=[3-1]=[2]=2
From above results we can see that there is no value of x which satisfies the given equation [x-1]=[x]
Hence there is NO solution.
