Let the cost of a chicken be x and the cost of a duck, y, then
50x + 30y = 550 . . . (1)
44x + 36y = 532 . . . (2)
(1) x 6 ⇒ 300x + 180y = 3,300 . . . (3)
(2) x 5 ⇒ 220x + 180y = 2,660 . . . (4)
(3) - (4) ⇒ 80x = 640
⇒ x = 640 / 80 = 8
From (1): 50(8) + 30y = 550
⇒ 30y = 550 - 400 = 150
⇒ y = 150 / 30 = 5
Therefore, the price of a chicken is $8 and the price of a duck is $5.
Answer:
18
Step-by-step explanation:
5 scores so far + next quiz =6 scores
6 times 16=96
She has to get a quiz score sum of 96 to get an average of 16
18+15+16+14+15=78
96-78=18
Answer:
Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation?
segment EG ≅ segment E prime G prime.
The slope of segment EF is the same as the slope of segment E prime H prime.
segment H prime F prime will overlap segment HF.
segment EH and segment E prime H prime both pass through the center of dilation.
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
The possible outcomes
TTT TTH THT THH HHH HHT HTH HTT = 8 outcomes
There are TTH THT HTT 3 with exactly two tails
P ( exactly 2 tails) = 3/8
Answer: 42
Step-by-step explanation:
Let the six consecutive even numbers be x , x+2 , x+4 ,x+6 ,x+8 ,x+10.
Then According to the question , we have
Now, the second number from the above six consecutive even numbers is x+2.
Substitute the value of x in it, we get
The second number in this sequence = 
