It is 80,000 im not sure what you meant by "800,00"
Given:
h = high quality bean ; costs 6 per pound
c = cheaper bean ; costs 3.25 per pound
160 pounds of blended coffee beans at 4.97 per pound
h + c = 160
6h + 3.25c = 160(4.97)
6h + 3.25c = 795.20
h = 160 - c
6(160-c) + 3.25c = 795.20
960 - 6c + 3.25c = 795.20
- 2.75c = 795.20 - 960
- 2.75c = -164.80
c = - 164.80 / -2.75
c = 59.92 or 60 pounds
h = 160 - c
h = 160 - 60
h = 100 pounds
Sarah must blend 100 pounds of high quality bean and 60 pounds of cheaper bean.
By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
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<span>y = 5(12) - 3(4) + 8
y = 60 - 12 + 8
y= 56</span>
Answer:
Step-by-step explanation:
here you go mate'
step 1
(60 + 10)130 equation
step 2
(60 + 10)130 simplify with the brackets
step 3
130(70) multiply the numbers
answer
9100