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S_A_V [24]
2 years ago
9

How can one sixthx − 5 = one fifthx + 2 be set up as a system of equations?

Mathematics
2 answers:
Len [333]2 years ago
7 0

Answer:

6y - x = -30 and 5y - x = 10

Step by Step:

They want you to remove the fractions from the x-values. How can we remove the 1/6 from the x in the first equation? We can multiply the entire equation (both sides) by 6 because it cancels out the 1/6 found in the x-value. This achieves 6y = x - 30 for our first equation. This can be changed to 6y - x = -30.

How can we remove the 1/5 from the x-value in the second equation? We can multiply the entire equation by 5, since that cancels with the 1/5 coefficient found in the x-value. This gets us 5y = x + 10. This can be changed to meet our answer choices to 5y - x = 10.

s2008m [1.1K]2 years ago
5 0
For problems like these, we can set both sides of the equation equal to y. This is because both sides of the equation are equal to each other. If we were to take the left side of the equation and set it equal to y, the right side would also be equal to y. Similarly, if we were to set the right side of the equation equal to y, the left side of the equation would also be equal to y. Setting both equations equal to y will produce two equations which can be used in a system of equations.

Thus, our answer is:
y = (1/6)x - 5
y = (1/5)x + 2
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Answer:

C

Step-by-step explanation:

The numerator being bigger would make it an improper fraction, making it larger than one.

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2 years ago
Express 510 & 3/10 % as a decimal fraction.
Naddika [18.5K]

Answer:

5.10 and 0.3

Step-by-step explanation:

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hope this helps

5 0
3 years ago
Which algebraic expression is equivalent to this expression?
algol13

Answer:

-5x-24

Step-by-step explanation:

3 0
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3 years ago
Two circles, one of radius 5 inches, the other of radius 2 inches, are tangent at point P. Two bugs start crawling at the same t
lawyer [7]

Answer:

  40 minutes

Step-by-step explanation:

The circumference of the larger circle is ...

  C = 2πr = 2π(5 in) = 10π in

The bug navigates the circumference at 3π in/min, so will take

  time = distance/speed = (10π in)/(3π in/min) = 10/3 min

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__

The circumference of the smaller circle is ...

  C = 2πr = 2π(2 in) = 4π in

The bug navigates this circumference at 2.5π in/min, so will take

  (4π in)/(2.5π in/min) = 8/5 min

to travel once around.

__

The bugs will meet at a time that is the least common multiple of these times. Both can be expressed in 15ths of a minute as ...

  {50/15, 24/15}

Then the LCM of these will be ...

  (1/15)LCM(50, 24) = (1/15)(50×24)/GCD(50, 24) = 1200/30 = 40

It will be 40 minutes before the bugs next meet at point P.

___

A graphing calculator can make use of the mod function to show when the bugs meet at point P (total is displacement of the two bugs from P is zero). It shows the meeting occurs after 40 minutes.

5 0
3 years ago
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