Answer:
3/2(x+y)
Step-by-step explanation:
The cost of 2 DVD is x+y
Divide by 2 to get the cost of one DVD
(x+y) /2
Multiply by 3 to get the cost of 3
3/2(x+y)
A. 8 cats per week. if you simplify 40/5, it equals 8/1
Answer:
p^3 / q^12
Step-by-step explanation:
p^6 q^4
------------------
p^3 q^16
We know a^b / a^c = a^(b-c)
First with variable p
p^6 / p ^3 = p^(6-3) = p^3
Then with variable q
q^4 / q^16 = q^(4-16) = q^-12 and a^-b = 1/ a^b = 1 /q^12
p^3 * 1/ q^12
p^3 / q^12
Angle θ between two vectors is given by,
; where
;
and
.
Therefore,
Answer: approximately 5.1818 pounds per square inch (psi)
========================================================
Work Shown:
P = pressure
T = temperature
The pressure is directly proportional to the temperature, which means P = k*T where k is some constant. As T goes up, P goes up as well, and vice versa. If P goes down, then T goes down too (or vice versa). In short, P and T go up together or go down together.
We're told that 6 psi (pounds per square inch) correspond to a temperature of 440 degrees F. This means P = 6 and T = 440 pair up. Let's use this P and T pairing to find k.
P = k*T
6 = k*440
6/440 = k
k = 6/440
k = 3/220
Therefore, the equation
P = k*T
updates to
P = (3/220)*T
--------------------
The last step is to plug in T = 380 to figure out the paired value of P
P = (3/220)*T
P = (3/220)*380
P = 5.1818 approximately
