Answer:
The number of cups = 8 ....
Step-by-step explanation:
Let x be the number of cups
Let y be the number of plates
According to the given statement:
y=2x-4 This is equation 1
Now,
60% = 0.60
y=0.60(x+y) This is equation 2
Now substitute equation 1 in equation 2.
y=0.60(x+y)
2x-4=0.60(x+2x-4)
2x-4=0.6x+1.2x-2.4
Solve the like terms:
2x-4=1.8x-2.4
2x-1.8x=4-2.4
0.2x=1.6
x=1.6/0.2
x= 8 cups
Therefore the number of cups = 8 ....
The side AB measures option 2. 
units long.
Step-by-step explanation:
Step 1:
The coordinates of the given triangle ABC are A (4, 5), B (2, 1), and C (4, 1).
The sides of the triangle are AB, BC, and CA. We need to determine the length of AB.
To calculate the distance between two points, we use the formula 
where (
) are the coordinates of the first point and (
) are the coordinates of the second point.
Step 2:
For A (4, 5) and B (2, 1), () = (4, 5) and () = (2, 1). Substituting these values in the distance formula, we get
So the side AB measures units long which is the second option.
9514 1404 393
Answer:
(a) plane NOU
Step-by-step explanation:
The points identified on plane <em>L</em> are {M, N, O, U}. All but point U are on the same line.
To identify the plane we need to name 3 non-collinear points. U must be one of them. The other two could by any two from the set {M, N, O}.
One possible name for plane <em>L</em> is plane NOU.
Answer:
78.5 inches
Step-by-step explanation:
The formula for the circumference of a circle is 
.
So the circumference of this circle is 
(in)
