Number of cartons of apple juice = 180
Number of cartons of apple punch = 120
Number of cartons of milk = 360
Hence, The number of cartons of apple juice served is greater than the number of cartons of apple punch served.
Answer:
, 
Step-by-step explanation:
we know that
In a parallelogram, opposite angles are congruent and consecutive angles are supplementary
so
----> equation A
-----> equation B
we have
substitute in the equation B and solve for m<R
-----> substitute in equation A
Answer:
Step-by-step explanation:
This is a parallelogram. What we know about the diagonals is that they intersect each other at their midpoints. In other words, QT = ST, and PT = RT. So that gives us 2 equations:
If QT = ST, then
2x = y + 3
If PT = RT, then
x + 5 = y Solving by substitution, plug x + 5 in for y in the first equation.
2x = x + 5 + 3 and
2x = x + 8 and
x = 7 Now plug in 7 for x to solve for y:
If x + 5 = y, then
7 + 5 = y and
y = 12
Answer:
x = -5/2
Step-by-step explanation:
3 ^ ( 4x-5) = (1/27) ^( 2x+10)
Rewriting 1/27 as 3^-3
3 ^ ( 4x-5) = (3^-3) ^( 2x+10)
We know that a^b^x = a^(b*c)
3 ^ ( 4x-5) = (3) ^(-3*( 2x+10))
3 ^ ( 4x-5) = (3) ^( -6x-30)
The bases are the same so the exponents are the same
4x-5 = -6x-30
Add 6x to each side
10x -5 = -30
Add 5 to each side
10x -5+5 = -30+5
10x = -25
Divide each side by 10
10x/10 = -25/10
x = -5/2
Answer:
300π
Step-by-step explanation:
The only difference in the formulas to find volume of each is that the volume of a cone is 1/3πr² and the volume of a cylinder is just πr²
