9 - x < 8 => -x < 8 - 9 => -x < -1 => x > 1
9 - x > 3 => -x > 3 -9 => -x > -6 => x < 6
So the number is between 1 and 6, notation 1 < x < 6
Answer:
6 2/3 minutes
Step-by-step explanation:
Their rates in "jobs per hour" are ...
(60 min/h)/(15 min/job) = 4 jobs/h
and
(60 min/h)/(12 min/job) = 5 jobs/h
So, their combined rate is ...
(4 jobs/h) + (5 jobs/h) = 9 jobs/h
The time required (in minutes) is ...
(60 min/h)/(9 jobs/h) = (60/9) min = 6 2/3 min
Working together, it will take them 6 2/3 minutes.
Answer:
b=11.6m
Step-by-step explanation:
If this is a right triangle;
a^2+b^2=c^2
A and B are both LEGS, while C is the HYPOTENUSE
(8.7^2)+b^2=(14.5^2)
b^2=(14.5^2)-(8.7^2)
b^2=134.56
b=plus or minus 11.6
Because length can't be negative, it's +11.6
A could be 2 while B could be 3, so -2a+3b turns into -4+9, which equals 5.
From what I know you can't really solve a a single equation with two-variables so it's just a matter of trial and error.
Just try plugging in a small number like 2 for a just to try it and you get 8b^2=72.
Divide everything by 8 to isolate b and you get that b^2=9.
Square root everything and you'll find that b=3. This is just one possible combination, I'm sure there are many more but this is obviously the one that was intended to be found.
Now that we know that a=2 and b=3 just plug them into the equation.
-2(2)+3(3)=?
-4+9=?
5
Sorry about having to use this ^ symbol, the equation maker is not working.
The 24 oz. is the better deal. For the 24 oz, each ounce is worth $.08 compared to $.10 per ounce for the 32 ounce bottle.