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3 years ago

Solve the system x-2y+2z=9 y+2z=5 z=3 Enter the answer as an ordered triple, (X,Y,Z)

Mathematics

2 answers:

likoan [24]3 years ago

5 0

The answer is (1, -1, 3)

enot [183]3 years ago

4 0

The last equation says z = 3, so that in the second equation we get

y + 2z = y + 6 = 5 ==> y = -1

and in turn, the first equation tells us

x - 2y + 2z = x + 2 + 6 = x + 8 = 9 ==> x = 1

So the solution to the system is (x, y, z) = (1, -1, 3).

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3 years ago

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3 years ago

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3 years ago

A piepie is divided into 2020 equal pieces. GlennGlenn and SophieSophie each ate one fourth 1 4 of the piepie on MondayMonday. T

andriy [413]

Answer:

Pieces remaining = 1 - (1/4 + 1/4) - (1/2 x1/5) = 1/2 - (1/2 x1/5) = 1/2 - 1/10 = 4/10

Therefore, 4/10 x 20 = 8 pieces.

Step-by-step explanation:

Sophie ate 1/4 = 5 pieces

Glenn ate 1/4 = 5 pieces

Remaining pieces = 20 - 5 - 5 = 10 pieces

On Monday, Sophie ate = 1/5 x 10 = 2 pieces

Therefore, remaining pieces = 10 - 2 pieces = 8 pieces

Sophie and Glenn consumed half of the pie the first day. This is equal to 10 pieces. The remaining pieces will be 10. If, on Monday, Sophie ate 1/5 of 10 pieces, representing 2 pieces, the number left over is 10 Minus 2, which equals 8 pieces.

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4 years ago