Use substitution to solve the linear system of equations and
determine how many chickens, x, and pigs, y there are.
Express the solution as an ordered pair (x,y).
Answer:
(6, 7)
Step-by-step explanation:
x+y= 13
2x+4y= 40 ⇒ x+2y = 20 ⇒ 13-y +2y= 20 ⇒ y= 20-13= 7
x= 13-y= 13-7= 6
chickens= 6
pigs= 7
To solve the problem, set up a system of equations using the given information. Solve one equation for a variable and substitute it into the other equation to find the values of the variables. Determine the number of chickens and pigs in the barn. The solution is (6, 7).
To solve this problem, we can set up a system of equations based on the given information. Let x represent the number of chickens and y represent the number of pigs. From the information given, we can write two equations: x + y = 13 (equation 1) and 2x + 4y = 40 (equation 2).
Using substitution, we can solve equation 1 for x and substitute it into equation 2:
Equation 1:
x + y = 13
x = 13 - y
Equation 2:
2(13 - y) + 4y = 40
26 - 2y + 4y = 40
2y = 14
y = 7
Now, substitute the value of y back into equation 1 to find x:
x + 7 = 13
x = 6
Therefore, there are 6 chickens and 7 pigs in the barn, which can be expressed as the ordered pair (6, 7).
#SPJ13
Answer:
1/20
Step-by-step explanation:
There are 16 marbles, 4 of them blue.
The probability of getting a blue marble on the first draw is 4/16.
Now there are 15 marbles, 3 of them blue.
The probability of getting a blue marble on the second draw is 3/15.
These are independent events, so the total probability is found by multiplying the two probabilities together: 4/16 x 3/15 = 1/20
Answer:
Yes. Because the cost of the mangoes was $20, and because Bryan bought 16 mangoes, the cost for each mango had to be more than $1.00.
Step-by-step explanation:
Since each banana cost 0.25 cents, just multiply 0.25 by 22 to get 5.5. Subtract 5.5 from 25.5 to get 20. This means that Bryan spent $20 on mangoes. Divide 20 by the number of mangoes (16) to get $1.25, which is more than $1.