There are 13 chickens and pigs in the barn. There are 40 legsin all (each chicken has two legs and each pig has four legs).
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).
Answers
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
Final answer:
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).
Explanation:
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).
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Multiply 25 by 5 and then multiply that product by 2.
Multiply 1/25 by 2/5.
Multiply 25 and 5/2.
Answers
The correct option will be Divide 25 by 5 and then multiply the quotient by 2.
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Multiplication is an operation that represents the basic idea of repeated addition of the same number.
Given that, There are 25 students in a class. 2/5 of them walk to school.
It is given that, 2/5 of the students walks to the school,
That mean, 2/5 part of the total student walks to the school,
Therefore,
25 x 2/5
= 10
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2/5 = ?/25
2 x 25 =50
50 divided by 5 = 10
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Answers
3 * 3 + (3 * 6 ÷ 2 * 4) = 45
The surface area of the pyramid is 45² yd.
surface area of the box?
12.5 in.
10 in.
5 in.
7.5 in.
Answers
Answer:
The surface area is: 225 in²
Step-by-step explanation:
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Area of each triangular base:
Area of the rectangular faces:
Add to find the surface area:
Thus, the surface area is : 225²
Answer:
Step-by-step explanation: