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topjm [15]
3 years ago
8

How many solutions can be found for the system of linear equations represented on the graph?

Mathematics
2 answers:
g100num [7]3 years ago
5 0

Answer:

A) no solution

Step-by-step explanation:

These lines are parallel.  This means they never intersect; since the solution to a system of equations is the point or points of intersection, this means there is no solution to this system.

skelet666 [1.2K]3 years ago
3 0

Answer: A) no solution

Step-by-step explanation:

The equation of first line = y=-\dfrac{1}{2}x+4

which can be written as : 2y=-x+8

x+2y=8  

The equation of second line = y=-\dfrac{1}{2}x-6

which can be written as : x+2y=-12

Since , the ratio of the coefficients of x is equal to the ratio of the coefficients of y but not the ratio of the constants .

\dfrac{1}{1}=\dfrac{2}{2}\neq\dfrac{8}{-12}

Therefore , the lines are parallel and do not have any solution.

So , the correct answer is A) no solution.

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Tate and Black cut a pizza into 8 equal slices. Tate eats 3 slices and Black eats 4 slices. Write a fraction to represent the am
Shtirlitz [24]

7/8 because there are 8 pieces of pizza and they eat 7 slices of pizza.

3 0
3 years ago
How many lb of brand X sugar which
Dafna1 [17]

Answer:  <u>4 pounds</u> of brand X sugar

====================================================

Reason:

n = number of pounds of brand X sugar

5n = cost of buying those n pounds, at $5 per pound

Brand Y costs $2 per pound, and you buy 8 lbs of it, so that's another 2*8 = 16 dollars.

5n+16 = total cost of brand X and brand Y combined

n+8 = total amount of sugar bought, in pounds

3(n+8) = total cost because we buy n+8 pounds at $3 per pound

The 5n+16 and 3(n+8) represent the same total cost.

Set them equal to each other. Solve for n.

5n+16 = 3(n+8)

5n+16 = 3n+24

5n-3n = 24-16

2n = 8

n = 8/2

n = 4 pounds of brand X sugar are needed

-------------

Check:

n = 4

5n = 5*4 = 20 dollars spent on brand X alone

16 dollars spent on brand Y mentioned earlier

20+16 = 36 dollars spent total

n+8 = 4+8 = 12 pounds of both types of sugar brands combined

3*12 = 36 dollars spent on both types of sugar brands

The answer is confirmed.

--------------

Another way to verify:

5n+16 = 3(n+8)

5*4+16 = 3(4+8)

20+16 = 3(12)

36 = 36

6 0
2 years ago
Lucy's fish tank has 14 liters of water in it. She plans to add 5 liters per minute until the tank has at least 49 liters. What
Vikentia [17]

Answer:

Step-by-step explanation:

14 + 5t > = 49 (thats a greater then or equal sign)

5t > = 49 - 14

5t > = 35

t > = 35/5

t > = 7 <===

3 0
3 years ago
Help Me pleassssseee!!!
VMariaS [17]
The answer to the question is -1,-1

4 0
3 years ago
Read 2 more answers
3 times a number X is at least negative 18​
Alina [70]

Answer:

3x>-18

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Step-by-step explanation:

5 0
3 years ago
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