3 years ago

Which choice is the solution to the system? x + 2y = 1 y = − 1 2 x + 4

Mathematics

1 answer:

vazorg [7]3 years ago

7 0

Answer:

no solutions

Step-by-step explanation:

x + 2y = 1

y = − 1/ 2 x + 4

Substitute the second equation into the first

x + 2(-1/2x+4) = 1

Distribute

x -x +8 = 1

Combine like terms

8=1

This is never true so there are no solutions

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The sum of two integers is 627, and the larger number is 27 more than 7 times the smaller number. Find the two integers.

Alex777 [14]

Answer:

75 and 552 =627

Step-by-step explanation:

First=x

Second 7x+27

x+ 7x+27= 627

8x+27=627

8x=600

x=75

75*7+27 =525

525+27 = 552

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3 years ago

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jek_recluse [69]

Answer:

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2 years ago

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3 years ago

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Pani-rosa [81]

Just add all the numbers together and then multiple it by 3

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3 years ago

Karen claps her hand and hears the echo from a distant wall 0.113 s later. How far away is the wall? The speed of sound in air i

insens350 [35]

Answer:

19.3795 m

Step-by-step explanation:

If sound travels at 343 m/s and it took Karen 0.113 s to hear the echo from the wall, the distance travelled by the sound is:

$D=343\frac{m}{s} *0.113\ s\\D= 38.759\ m$

Note that the distance calculated above is the distance travelled from Karen to the wall and then back from the wall to Karen. Therefore, the distance between Karen and the wall is:

$d=\frac{38.759}{2}\\d=19.3795\ m$

The wall is 19.3795 m away from Karen.

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3 years ago