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Dimas [21]
3 years ago
13

Solve the system.

Mathematics
1 answer:
liraira [26]3 years ago
6 0

Answer:

Option D is right,.

Step-by-step explanation:

-a+4b+2c=-8   ... i

3a+b-4c=9      ... ii

b=-1                 ... iii

Substitute the value of b, in i and ii

-a-4+2c =-8 or -a+2c = -4

and 3a-1-4c = 9 or 3a -4c =8

Now we have two equations in two variables

-a+2c =-4 and 3a-4c =8

a = 2c+4:  substitute this in the other equatin.

3(2c+4)-4c =8 Or 2c +12 =8

2c =-4 or c = -2

Substitute in -a+2c =12

-a-2 = -4

a = -2+4 =2

a=2, b=-1 and c =-1 is the solution.


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Alex owns 80 orange trees. He has estimated that there are between 35 and 40 oranges on each tree. Which is the closest estimate
Archy [21]
2,800-3,200

Explanation: multiply 35 and 40 by 80 since those are the variables
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2 years ago
0.6 of the Chang family expenses are for internet service what fraction of the family's expenses is for internet service put the
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4 0
3 years ago
Include work pleaseeeee
Angelina_Jolie [31]
Okay so to represent juice we are going to use X, and to represent water we are going to use Y.

We also know that the first two starting equations are:

6x + y = 135

4x + 2y = 110

We can re-arrange the first equation so that it equals y (for now), so it is going to end up looking like this:

y = -6x +135

Now you can take that equation and plug into either one of the starting two equations.  I chose the second equation.  We just substitute what y equals in for y in the equation, so we have:

4x + 2(135 - 6x) =  110

Now solve

4x + 270 -12x = 110

-8x + 270 = 110

Subtract 270 from both sides

-8x = -160

Now divide by -8 on both sides

x = 20

We can now confirm that juice costs $20

Now lets plug that into the equation where we solved for y, to get the actual value of y.

y = 135 - 6(20)

y = 135 - 120

y = 15

The price of water costs $15

From this we can conclude that the cost of juice is $20 and the price of water is $15

5 0
3 years ago
the insurance company pays the forecast of 3900 prescriptions claims out of 4500 prescription claims submitted what is the rate
nadya68 [22]

Answer:

x=0.87  or   86.67%

13 prescription claims out of 15 are paid

Step-by-step explanation:

First we organize the data:

prescription claims submitted: 4500

Prescriptions: 3900

The rate of claims paid is calculated using the following formula:

x =\frac{Paid}{Total}

We know that:

Paid = 3900

Total = 4500

So

x =\frac{3900}{4500}

x =\frac{39}{45}

x =\frac{13}{15}

x=0.87

6 0
3 years ago
Convert 35 kilometers to miles
Finger [1]

Answer:

The answer would be 21.248 miles

5 0
3 years ago
Read 2 more answers
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