Answer:
Noah needs 8 pounds of the coffee that costs $9.20 per pound and 12 pounds of the coffee that costs $5.50 per pounds
Step-by-step explanation:
Let the number of pounds of the coffee that sells for 9.20 be x while the number of pounds of the coffee that sells for 5.5 be y.
From the question, we know he wants to make 20 pounds of coffee
Thus;
x + y = 20 •••••••••••(i)
Let’s now work with the values
For the $9.20 per pound coffee, the cost out of the total will be 9.20 * x = $9.20x
For the $5.5 per pound coffee, the cost out of the total be 5.5 * y = $5.5y
The total cost is 20 pounds at $6.98 per pound: that would be 20 * 6.98 = $139.6
Thus by adding the two costs together we have a total of $139.6
So we have our second equation;
9.2x + 5.5y = 139.6 •••••••(ii)
From i, y = 20 - x
Let’s substitute this in ii
9.2x + 5.5(20-x) = 139.6
9.2x + 110 -5.5x = 139.6
9.2x -5.5x = 139.6-110
3.7x = 29.6
x = 29.6/3.7
x = 8 pounds
Recall;
y = 20 - x
y = 20-8
y = 12 pounds
Answer:
1.5 + 10^8.
Step-by-step explanation:
(3 x 10^2) x (5 x 10^5)
= 3 x 5 * 10^2 x 10^5
= 15 x 10^(2 + 5)
= 15 x 10^7
= 1.5 + 10^8.
15?im not sure...but I think thats right
Answer: C. Ben and Cathy
Step-by-step explanation:
The diagram showing the triangle ABC is shown in the attached photo.
a represents the distance between Ben and Cathy.
b represents the distance between Andy and Cathy
c represents the distance between Andy and Ben,
The unknown angle A is determined by subtracting the sum of angle B and angle C from 180 degrees. This is because the sum of angles in a triangle is 180 degrees.
Angle A = 180 - (55 + 50)
= 180 - 105 = 75 degrees.
75 degrees is the biggest angle and thus, the farthest distance. It corresponds to a, the distance between Ben and Cathy.
