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MAXImum [283]
3 years ago
12

If a system of equations has infinite solutions, what do you know about the graph?

Mathematics
1 answer:
Anton [14]3 years ago
3 0

Answer:

C

Step-by-step explanation:

A: Perpendicular lines have 1 solution. A is not the answer.

B: If the lines intersect, there is one solution, not many.

C: The lines are the same or can be reduced to being the same. C is the answer.

D: The lines don't intersect means that the lines are parallel. There isn't a solution.

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soymeal is 14 percent protein cornmeal is 7 percent protein how many pounds of each should be mixed together in order to get 280
erma4kov [3.2K]
Let the weight of soymeal be s, and let the weight of cornmeal be c.
You need a total of 280 lb, so that gives us one equation.

s + c = 280

Now we use the protein to write another equation.
The protein in s lb of soymeal is 0.14s.
The protein in c lb of cornmeal is 0.07c.
The protein in 280 lb of 0.09% protein mix is 0.09(280).
This gives us a second equation.

0.14s + 0.07c = 0.09(280)

Now we solve the two equations as a system of equations.

s + c = 280
0.14s + 0.07c = 0.09(280)

Solve the first equation for s and plug in tot eh second equation.

s = 280 - c

0.14(280 - c) + 0.07c = 25.2

39.2 - 0.14c + 0.07c = 25.2

-0.07c = -14

c = 200

Now we substitute c = 200 in the first equation to find s.

s + 200 = 280

s = 80

Answer: 200 lb of soymeal and 80 lb of cornmeal
6 0
3 years ago
A farmhouse shelters 10 animals. Some are pigs and sone are ducks. Altogether there are 36 legs. How many of each animal are the
german
8 pigs x 4 legs each = 32. so you need 2 ducks to give you 10 animals total. So 32 + 2 ducks with 2 legs = 36.

There are 8 pigs and 2 ducks.
7 0
3 years ago
A town's population is 14,280, and it is increasing by 160 people every year. A nearby town has a population of 24,000, and it i
fgiga [73]

Answer:

27 years

Step-by-step explanation:

Given that :

Town A:

Initial population = 14280

Rate = increase by 160 per year

Let t = time in years

Population is thus :

14280 + 160t - - - (1)

Town B:

Initial population = 24000

Rate = decrease by 200 per year

P = 24000 - 200t - - - (2)

Equate both equations :

14280 + 160t = 24000 - 200t

160t + 200t = 24000 - 14280

360t = 9720

t = 9720 / 360

t = 27

In 27 years

7 0
3 years ago
Evaluate n/6 plus 2 when n=2
harina [27]

Step-by-step explanation:

n/6+2=0

n/6+2/1=0

find the LCM=6

n+12/6=0

cross multiply

n+12=0

n=-12

5 0
3 years ago
HEELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLS
Natali5045456 [20]

9514 1404 393

Answer:

  300 g

Step-by-step explanation:

The problem statement tells us ...

   36g = 0.12×d . . . . . where d represents the daily value

   36g/0.12 = d = 300g . . . . divide by the coefficient of d

300 g of carbohydrates per day are recommended.

7 0
3 years ago
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