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podryga [215]
3 years ago
10

Three consecutive even integers are such that the sum of the smallest and three times the second is 38 more than twice the third

. Find the integers.
Mathematics
2 answers:
trasher [3.6K]3 years ago
7 0

x,\ x+2,\ x+4-\text{the three consecutive even integers}\\\\\text{The equation}\\\\x+3(x+1)=2(x+4)+38\ \ \ \ |\text{use distributive property}\\\\x+3x+3=2x+8+38\\\\3x+3=2x+46\ \ \ \ |-3\\\\3x=2x+43\ \ \ \ |-2x\\\\x=43\\x+2=45\\x+4=47

algol133 years ago
6 0

Answer:

20, 22, 24

Step-by-step explanation:

since the integers are even: x, x+2, x+4

x+3(x+2)=38+2(x+4)

x+3x+6=38+2x+8

4x+6=46+2x

2x=40

x=20

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Mike and Teegan each measured the volume of the 16-ounce bottle three times. They recorded their measurements as shown. Mike: 16
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Answer:

The correct option is;

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Step-by-step explanation:

The given information are;

The mass of the measured bottle = 16-ounce

The record of the measurements made by Mike are;

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15.2 oz

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The record of the measurements made by Teegan are;

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From the two measurements, we have;

The precision of a measurement depends on how close the values of the measurement are to one another, therefore, we have;

For Mike, the precision is given as follows

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15.8 - 15.2 = 0.6

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For Teegan , the precision is given as follows

16.59 - 16.34 = 0.25

16.59 - 15.13 = 1.46

16.34 - 15.13 = 1.21

Total difference = 0.25 + 1.46 + 1.21 = 2.92

Therefore, Mike's measurements are more precise than Teegan's measurements

The accuracy of the measurement is the amount of closeness the measurements are to a given value

In the question, the given value is 16-ounces of the volume of the bottle

Therefore, by the mean absolute deviation from the 16-ounce of the bottle, we have;

For Mike;

Mean \ absolute  \ deviation = \dfrac{\left | 16.4 - 16 \right | + \left | 15.2 - 16 \right | + \left | 15.8 - 16 \right | }{3} = 0.533

For Teegan, we have;

Mean \ absolute  \ deviation = \dfrac{\left | 16.34 - 16 \right | + \left | 16.59 - 16 \right | + \left | 15.13 - 16 \right | }{3} = 0.6

Therefore, Mike's measurement is more accurate than Teegan's measurement.

Which gives;

Mike's measurement are more precise and more accurate.

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