Answer: $48
Step-by-step explanation:
From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.
Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:
x + (6% of x) = $50.88
x + (6/100 × x) = $50.88
x + (0.06 × x) = $50.88
x + 0.06x = $50.88
1.06x = $50.88
When then divide by the coefficient of x
1.06x/1.06 = #50.88/1.06
x = $48
The price before the tax is $48
For this problem, you would replace x with 7 then solve.
3/ (7+2) - sqrt(7-3) =
3/9 - sqrt(4) =
1/3 - 2 = -1 2/3 = -1.67
f(7) = 1
-5x/6 + 1=7/18
lowest common multiple=18
-15x+18=7
-15x=7-18
-15x=-11
x=-11/-15=11/15
The solution set is [11/15]
we check it out.
-5(11/15) /6 + 1 =7/18
(-55/15) / 6 +1=7/18
-55/90 + 1=7/18
(-55+90) /90=7/18
35/90=7/18
7/18=7/18
Answer:
C) S = {F, PF, PPF, PPP}
Step-by-step explanation:
For this case, we know that a person is trying to gain access to a bank vault and needs to go through 3 security doors, and we know that if the person does not pass a door, then he/she has no other attempts. We denote P= Successful pass , F= Failed pass
And we are interested on the sample space, we need to remember that the sample is the set with all the possible values for an experiment.
For this case the person can fail at the 1,2 or 3 try
For the case that fails at the 1 try we have F
For the case that fails at the 2 try we have PF
For the case that fails at the 3 try we have PPF
And the last option is that the person not fails at any try and we have PPP
So then the sample space would be given by:
C) S = {F, PF, PPF, PPP}
