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Novosadov [1.4K]
3 years ago
5

A system of linear equations in two variables can have _____ solutions

Mathematics
2 answers:
valina [46]3 years ago
8 0
If the lines are parallel (have the same slope but different intercepts) . . .
     no solution, because they never cross.

If the lines have different slopes . . .
     one solution, because they have exactly one common point.   

If the lines have the same slope and the same intercept . . .
     infinitely many solutions, because every point on one line is also a point on
     the other line, one lays right on top of the other, and when you look at them on
     the graph, it looks like only one line.
madreJ [45]3 years ago
5 0
One solution
or no solution
or an infinite number of solutions
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The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line.
Vanyuwa [196]
Y - 9 = 2(x - 1)

This is because the base equation is below:

y - y1 = m(x - x1)
3 0
3 years ago
Carter can bake 11 cookies with each scoop of flour. With 4 scoops of flour, how many cookies can Carter bake?​
VMariaS [17]

Answer:

41

Step-by-step explanation: 11 coookies per cup of flour. 4 cups of flour. 11 x 4 = 41

5 0
3 years ago
Read 2 more answers
One month Ivanna rented 7 movies and 9 video games for a total of $80. The next month she rented 5 movies and 3 video games for
ZanzabumX [31]

Answer:

each movie costs $2.75, each video game costs $6.75

Step-by-step explanation:

x = movies, y = video games

7x + 9y = 80

5x + 3y = 34

simplified to

x = 11/4 , y = 27/4

5 0
3 years ago
P=$222 r=12% Y=10 A=?
sergey [27]
To solve for the A or the principal amount plus interest you can use two formulas:

A = P + I

Where: P = Principal
             I  = Interest

or you can use 

A = P (1+ rt)

Where: P = principal
             r  = rate in decimal
             t  = time in years

With your given you can use the second one, without having to use the first. 
Given that the Principal amount is $222 and the rate is 12% and time is 10 years, we first need to convert your rate into decimal by dividing the value in percent by 100 which will yield 0.12. 

Then now we can just input the data that you know into the formula:
A = P(1+ rt)
   = $222(1 + (0.12)(10))
   = $222(2.2) 
   = $488.40

Your A is then equal to $488.40

If you need to get the simple interest all you need to use is the first formula given:

A = P + I
for the interest you transpose the P to the side of the A and you will get:
I = A - P
  = $488.40 - $222
  = $266.40

$266.40 is the added interest to the principal amount. 
7 0
3 years ago
The ratio table shows that 4 pounds of tomatoes cost $14. Complete the
valina [46]

Answer:

1 tomato: $3.50

2 tomatoes: $7

3 tomatoes: $10.50

4 tomatoes: $14

Step-by-step explanation:

Ok, to start of if 4 tomatoes cost $14, that means 2 tomatoes cost $7. This probably means 1 tomato cost $3.50 and 3 tomatoes cost $10.50. Hope this helps!

4 0
3 years ago
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