You will be able to serve 48 4-fluid ounce cups. 32×6=192. 192÷4= 48
ANSWER
The system of equations are,

and

EXPLANATION
Let J = John's age and M = Mary's age
The first statement says,
"John is twice as old as Mary."
We can write this mathematically as,

or

The second statement says,
"the sum of their ages is 21." Mathematically, we can write this one too as,
Answer:

Step-by-step explanation:
How do we find the line that's perpendicular to another?
We find the negative reciprocal. So for example if our slope is 2, the negative reciprocal would be
.
Answer:
(look in the the Step by step)
Step-by-step explanation:
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in
The length of diagonal BD is 8 in.
Answer:
x = 6
Step-by-step explanation:
cross-multiply:
10(56) = 35(10+x)
560 = 350+35x
210 = 35x
x = 6