$27
2.65 x 2 (since he has to go both to and from work each day) = $5.30
Add the daily cost of the water bottle (1.45) to make his total cost for one day, which is 6.75
Multiply this number by 4 (because he goes 4 days a week) to get $27 for one week.
So the unit rate is basically how many ounces in 1 cup?
So since there are 64 ounces in 8 cups, you can just divide by 8, to find how many sets of 8 there are in 64.
64 = 8
64 / 8 = 8 / 8
8 = 1
So there are 8 ounces in 1 cup, which is your unit rate.
1.5 = 1 1/2 = 3/2
When there is a negative exponent, you find the reciprocal of the base, so therefore: 3/2 ^ -2 = 2/3 ^ 2
Then you square the numerator, then square the denominator: 2^2/3^2 = 4/9
Since |1-4x|>7 it can also be 1-4x<-7
so you get 1-4x>7 then get the x by its self -4x>7 then you make the x positive. multiply by -1 so you switch the sign 4x<7 divid by 4 and you get x<7/4 now you go on to the other equation 1-4x<-7 you get the x by itself and get -4x<-8 and multiply by -1 to get a positive number so you swith the sign 4x>8 so you didid by 4 and get x>2 so you get an interval notation of (-infinity,7/4) u (2,+infinity)
the |5x-1|<1 interval notation is (-2/5 ,0)