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. If she orders one 12-ounce cup and two 16-ounce cups, she will owe the coffee shop $11.30. What is the cost for a 16-ounce cup of coffee? A.$3.29 B.$4.25 C.$3.40 D.$3.95

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 = 10.75Equation 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 = 11.30Equation 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

the answer is 8

step-by-step explanation:

3.14 x 8x8

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is