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aliina [53]
3 years ago
7

What is the solution to the system of equations below?

Mathematics
1 answer:
mixer [17]3 years ago
5 0

\left\{\begin{array}{ccc}y=\frac{1}{2}x-4\\y=-2x-9\end{array}\right\Rightarrow\dfrac{1}{2}x-4=-2x-9\\\\\dfrac{1}{2}x-4=-2x-9\ \ \ |\cdot2\\\\x-8=-4x-18\ \ \ |+8\\\\x=-4x-10\ \ \ |+4x\\\\5x=-10\ \ \ |:5\\\\\boxed{x=-2}\\\text{substitute the value of x to the second equation}\\y=-2(-2)-9=4-9=-5\\\boxed{y=-5}\\\\\text{Answer:}\ x=-2;\ y=-5\to(-2;-5)

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adell [148]
Ok, here we go:
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We know that Rachel is first, a blue car is second and the minivan is third.  We know that 3, 4 cannot be a convertible since one is a minivan and the other is a sedan.  We also know that a yellow car is in front of the convertible. 

Based off of that we know that car 5 cannot be a convertible since 4 is white and not yellow. So 1 or 2 is the convertible and SUV.  But we know that Rachel is in front of a blue car and the yellow car is in front of a convertible so that makes car #2 the blue convertible and car #1 the yellow SUV. 

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8 0
3 years ago
There are 30 books on the library shelf, Sam noted that 1/6 of them are non fiction. Dan notes that 3/5 of the books are fiction
ehidna [41]

Answer:

7

Step-by-step explanation:

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saveliy_v [14]

Answer:

The equipment elevator is positioned 481 feet closer and the miner equipment is positioned 342 feet closer relative to the surface. The equipment elevator is deeper.

Step-by-step explanation:

The rate that both elevators descend are the same according to the information given in the question.

After 18 seconds, the equipment elevator has descended 18 x 13 = 234 feet.

After another 19 seconds, the equipment elevator has descended for a total of 37 seconds which results in 481 feet and the miner elevator has descended for 19 seconds which gives us a descend of 342 feet.

So they are 481 and 342 feet closer relative to the surface and the equipment elevator is deeper since it has descended for a longer period of time.

I hope this answer helps.

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