Answer:
6 * p ≤ 30
p ≤ 5
The maximum number of pies she can buy is 5
Step-by-step explanation:
Let p equal the number of pies she will buy
Each pie costs 6 dollars. She will spend 6 * p
The cost must be less than or equal to 30 dollars
6 * p ≤ 30
To solve divide each side by 6
6 * p/6 ≤ 30/6
p ≤ 5
Answer:
It will take about 35.49 hours for the water to leak out of the barrel.
Step-by-step explanation:
Let 
be the depth of water in the barrel at time 
, where 
is measured in inches and in hours.
We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that
where 
is a constant of proportionality.
Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:
Multiply by 
Multiply by 
Take integral
Integrate
Isolate
We know that the water level starts at 36, this means 
. We use this information to find the value of 
.
At t = 1, y = 34
So our formula for the depth of water in the barrel is
To find the time, , at which all the water leaks out of the barrel, we solve the equation
Thus, it will take about 35.49 hours for the water to leak out of the barrel.
Answer:
Let's name the digit:
x- ones digit
y - tens digit
we know that x=y-2.
Now, y can be 6,7,8,9 (the number is between 60 and 100 (so depending on your understanding of "between", 0 is also possible. but then the number would have to have -2 as its ones digit, so in any case, it's not possible).
So the possibilities with x=y-2:
64
75
86
97
Out of those 64 and 86 are even, so they can't be prime.
75 has 5 in its ones number: it's divisible by 5.
so the correct answer is 97.
Step-by-step explanation:
Hope this helps!
