A scientist planted 120 seeds, and 90 sprouted. What percent of the seeds failed to sprout?
1 answer:
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Answer:
x (smallest to largest) = 0,45 ,55
y (smallest to largest) = 0,10,40
Step-by-step explanation:
(hours) Dinghy Rowboat Labor Available
Metal Work 2 3 120
Painting 2 2 110
Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.
So, total hours for metal work =
So, total hours for Painting =
So, equation becomes:
Plot the inequalities
Refer the attached figure
So, the vertices of the feasible region are (0,40),(45,10) and (55,0)
So, x values are 0 , 45 and 55
x represents the number of dinghies
So, x (smallest to largest) = 0,45 ,55
y values are 40,10,0
y represent the number of rowboats.
So, y (smallest to largest) = 0,10,40
Answer:
1) {y,x}={-3,-23}
2) {x,y}={7,-9/2}
Step-by-step explanation:
Required:
- Solve systems of equations
1) y - x = 20, 2x - 15y = -1
Equations Simplified or Rearranged :
[1] y - x = 20
[2] -15y + 2x = -1
Graphic Representation of the Equations :
x + y = 20 2x - 15y = -1
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = x + 20
// Plug this in for variable y in equation [2]
[2] -15•(x +20) + 2x = -1
[2] - 13x = 299
// Solve equation [2] for the variable x
[2] 13x = - 299
[2] x = - 23
// By now we know this much :
y = x+20
x = -23
// Use the x value to solve for y
y = (-23)+20 = -3
Solution :
{y,x} = {-3,-23}
2) 25-x=-4y,3x-2y=30
Equations Simplified or Rearranged :
[1] -x + 4y = -25
[2] 3x - 2y = 30
Graphic Representation of the Equations :
4y - x = -25 -2y + 3x = 30
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = 4y + 25
// Plug this in for variable x in equation [2]
[2] 3•(4y+25) - 2y = 30
[2] 10y = -45
// Solve equation [2] for the variable y
[2] 10y = - 45
[2] y = - 9/2
// By now we know this much :
x = 4y+25
y = -9/2
// Use the y value to solve for x
x = 4(-9/2)+25 = 7
Solution :
{x,y} = {7,-9/2}
