Unit rate = 36
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Answer:
your answer will be <em><u>Option A.$3</u></em><em><u>,</u></em><em><u>207</u></em><em><u>.</u></em><em><u>40</u></em>
Step-by-step explanation:
hope it helps...
have a great day!!
<h3>
Answer: D) infinitely many solutions</h3>
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Explanation:
Let's solve the first equation for y
4x - 2y = 6
4x-6 = 2y
2y = 4x-6
y = (4x-6)/2
y = (4x/2) - (6/2)
y = 2x - 3
After doing so, we see that 4x-2y = 6 is equivalent to y = 2x-3
Therefore, the original system of equations is effectively listing the same equation twice (one has a different form compared to the other).
Both equations in this system produce the same graph, which leads to infinitely many solutions. All solutions are on the line y = 2x-3.
You can say that all solutions are in the form (x, 2x-3) where x is any real number you want.
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Here's another approach using substitution
4x - 2y = 6 ... start with the first equation
4x - 2( y ) = 6
4x - 2( 2x-3 ) = 6 .... replace y with 2x-3; ie plug in y = 2x-3
4x - 2(2x) - 2(-3) = 6
4x - 4x + 6 = 6
0x + 6 = 6
0 + 6 = 6
6 = 6
We get a true statement. The last equation is always true regardless of what we plug in for x, so this is another way to see how we get to infinitely many solutions.
Side note: the system is considered dependent since one equation depends on the other. The system is also consistent since it has at least one solution.
I believe it would be negative 9 because your subtracting by twelve again. I hope that helped
Answer:
first day = 5.05mm = 0.505cm
second day = 9.55mm = 0.955cm
Step-by-step explanation:
Let x represent first day
Let y represent second day
x + y = 14.6
x = y - 4.5
(y - 4.5) + y = 14.6
2y - 4.5 = 14.6
2y = 14.6 + 4.5
2y = 19.1
Divide both sides by coefficient of y which is 2
y = 9.55
Substituting value of y in the equation x + y = 14.6
x + 9.55 = 14.6
x = 14.6 - 9.55
x = 5.05
To convert the values in mm to cm you divide them by 10 since 1cm=10mm
