Answer:
y = 3
y = 5
(last answer choice)
Step-by-step explanation:
A system of equation is given in "x" and "y".
For it to have a solution, there should be a value for x and a value for "y".
There needs to be 2 values, one for x and another for y.
It doesn't matter if the values of x and y are same, but there needs to be one value of x and one value of y (if linear equations).
First one has a value of x = 5 and y = 3, so there are 2 values, one for x and another for y, distinct values. So it's okay.
The second one has 2 values for x and y, respectively. THey are same, doesn't matter. So, this one is okay as well.
The last one has NO VALUE for x and has 2 values for y. So, this one doesn't have a proper solution.
So, the last one of the choices shown has NO SOLUTION.
Answer:
96 laps
Step-by-step explanation:
2 hours = 2 * 60 = 120 minutes
So now the question would be as given below:
8 laps in 10 minutes so how many laps in 120 minutes.
Since, no. of laps and minutes are in proportion.
Answer:
180 ft.
Step-by-step explanation:
<h3>
Answer: 40 inches</h3>
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Explanation:
- x = first piece
- 2x = second piece, since its twice as long as the first
- 5x = third piece, since its five time as long as the first
x is some positive real number, and the units of each are in inches.
Add up the smaller pieces and we should get 64 inches back again
x+2x+5x = 64
8x = 64
x = 64/8
x = 8
The first piece is 8 inches long.
2x = 2*8 = 16 is the length of the second piece (in inches)
The third piece is 40 inches because 5x = 5*8 = 40
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Summary:
first = 8 inches
second = 16 inches
third = 40 inches
Check: 8+16+40 = 64, which confirms the answer
