Answer:
D.$3.95
Step-by-step explanation:
Let us represent
12-ounce cup = x
16-ounce cup = y
A customer orders a round of coffee for her friends.
If she orders two 12-ounce cups and one 16-ounce cup, she will owe the coffee shop $10.75.
Hence:
2x + y = 10.75.....Equation 1
y = 10.75 - 2x
If she orders one 12-ounce cup and two 16-ounce cups, she will owe the coffee shop $11.30.
Hence:
x + 2y = 11.30.....Equation 2
We substitute 10.75 -2x for y in Equation 2
x + 2(10.75 - 2x) = 11.30
x + 21.50 - 4x = 11.30
Collect like terms
x - 4x = 11.30 - 21.50
-3x = -10.20
x = -10.20/-3
x = $3.40
Solving for y
y = 10.75 - 2x
y = 10.75 - 2($3.40)
y = 10.75 - 6.8
y = $3.95
Therefore , 16-ounce cup is represented by y, the cost for a 16-ounce cup of coffee is $3.95
Option D is correct
Answer: Second Option is correct.
Step-by-step explanation:
Since we have given that
In a parallelogram, the vector from one vertex to another vertex is (9,-2)
So, the co-ordinate of first vertex will be (9,0).
And the coordinate of second vertex will be (0,-2).
As we know the formula for "Distance between two coordinates":
So, The length of the side is given by
Hence, Second Option is correct.
Answer:
y2-y1 5--6 11
-------- =. -------- = ----
x2-x1 -4 --9 5
Step-by-step explanation:
Subtitute the pair (3,28) to x and y, if the result in right side is -8, then the pair is a solution to the equation
2x - y/2
= 2(3) - 28/2
= 6 - 14
= -8
The result is -8, so the pair (3,28) is a solution
