Answer: 30 pounds of coffee beans worth $10.50 per pound was used.
20 pounds of coffee beans worth $13.00 per pound was used.
Step-by-step explanation:
Let x represent the number of coffee beans worth $10.50 per pound that should be mixed.
Let y represent the number of coffee beans worth $13.00 per pound that should be mixed.
50 pounds of beans worth $11.50 per pound is to be made. The total cost of the mixture would be
50 × 11.5 = 575
This means that
10.5x + 13y = 575 - - - - - - - 1
The total number of pounds of each type of coffee used is 50. This means that
x + y = 50
Substituting x = 50 - y into equation 1, it becomes.
10.5(50 - y) + 13y = 575
525 - 10.5y + 13y = 575
- 10.5y + 13y = 575 - 525
2.5y = 50
y = 50/2.5 = 20
x = 50 - 20= 30
Answer:
8 years old
Step-by-step explanation:
Answer:
The answer to your question is:
Step-by-step explanation:
x² + 3x - 5
x² + 3x + (3/2)² = 5 + (3/2)²
(x + 3/2)² = 5 + 9/4
(x + 3/2)² = (20 + 9) /4
(x + 3/2)² = 29/4
x + 3/2 = ±√29 / 2
x 1 = -3/2 + √29/2 x2 = -3/2 - √29/2
x1 = 1.19 x2 = -4.19
Answer:
1:24pm
Step-by-step explanation:
Couple of ways to solve this. Here is one method
Convert all times to minutes and find the total number of minutes they spent on all 3 activities. Then convert to hours and minutes and subtract from the end time of 5;28 to get the start time of all activities which is also the start time of watching the movie (first activity)
So time spent:
Movie: 2 hours 18 minutes = 2 * 60 + 18 = 120 + 18 = 138 minutes
Card game: 34 minutes
Soccer: 1 hour 12 minutes = 1 * 60 + 12 = 72 minutes
Total time spent = 138 + 34 + 72 = 244 minutes = 4 hours and 04 minutes
Subtract 4:04 from 5:28 to get 1:24pm
Check
Movie watch starts at 4:04, ends at 1:24 + 2:18 or 3:42pm
Card game starts at 3:42pm ends at 3:42+0:34 ==> 4:16pm
Soccer starts at 4:16pm ends at 4:16pm + 1:12 ==> 5;28pm
