Add x to both sides of the first equation. This makes 2y=6+x. Then Multiply it all by 3. This makes 6y=18+3x. Then multiply both sides by -1. This makes -6y=-18-3x. Then combine the two equations. 6y+ (-6y)=0, x+(-3x)=-2x, and 18+(-18)= 0. This leaves 0y=-2x+0, in other words, -2x=0 Then you can divide out the -2x from both sides. 0 divided by anything is 0. This leaves x=0
The correct answer would be, Jeremy rides at a greater speed than Kevin.
Step-by-step explanation:
Jeremy rides at a rate of 15 miles per hour
Kevin rides at a rate given in the table
Let Y be the distance traveled by Jeremy
And X be the number of hours
Then for Jeremy:
y/x = 15/1
=> y= 15 x
For Kevin:
(46-23)/(4-2)
= 23/2
= 11.5
So for Kevin, Y = 11.5 x
So when Jeremy's and Kevin's rates are compared,
15 > 11.5
which means Jeremy rides at a greater speed.
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The question above may be solved using the overall mass and component balances. If we let x be the number of liters of peroxide that should be added, the final mixture will have a quantity of x+12 L. The peroxide balance before and after mixing is,
x(1) + 12(0.08) = (x + 12)(0.16)
The value of x is 1.143. Thus, approximately 1.143 L of peroxide should be added to the original solution.
It does not exist because the left and right do not match