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:
170°
Step-by-step explanation:
To convert from radians to degrees
degree measure = radian measure × 
, thus
degree = 
×
Cancel π on numerator/denominator and 18/ 180 by 18
degree measure = = 17 × 10 = 170°
Answer:
y = 3(x+1)^2 - 4
Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:
y - k = a(x-h)^2, or
y = a(x-h)^2 - k
Substituting the coefficients of the vertex (-1, -4), we get:
y = a(x + 1)^2 - 4
Substituting the coordinates of the given point, (1,8), we get:
8 = a(1+1)^2 - 4, which simplifies to:
8 = a(2)^2 - 4, or
8 = 4a - 4. Then 4a = 12, and a = 3.
Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).
Degree measures<span>Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. Below is a picture of triangle ABC, where angle A = 60 degrees, angle B = 50 degrees and angle C = 70 degrees.</span>
Answer:
no a equilateral triangle has the same length sides all the way around
