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Ratling [72]
3 years ago
8

Compute and simplify 4 /9 + 13/18 show work

Mathematics
1 answer:
Darya [45]3 years ago
6 0

Answer:

1\frac{1}{6}

Step-by-step explanation:

so first find the common denominator which is 162

so on 4/9 multiply 18 to denominater and numerator which makes it 72/162

next multiply 9 to numerator and denominator in 13/18 which makes it 117/162

so now add:

\frac{72}{162} +\frac{117}{162} = \frac{189}{162}

so now simplification.

189/162 can be reduced by 3

63/54 is our new answer. now we can reduce it by 9

7/6 is our new answer. now we must change it to a mixed number which is 1\frac{1}{6}

hope this helped!

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Answer:

The temperature in 4 hours = -2 °F

Thus, option (D) is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

where m is the rate of change or slope and b is the y-intercept

  • Let 'y' be the temperature
  • Let 'x' be the time of the temperature in the hour

Given that the current temperature outside = 10°F.

Thus, the y-intercept = b = 10°F

Given that as the day went on, It will fall at a constant rate of 3°F per hour.

Thus, the slope or rate of change = -3°F

(The rate of change or slope is -3 because the temperature is reducing)

Thus, the rate of change = slope = m = -3

Thus, substituting m = -3 and b = 10 in the equation

y = mx+b

y = -3x + 10

Now, substituting x = 4 to determine the temperature after 4 hours.

y = -3(4) + 10

y = -12 + 12

y = -2 °F

Therefore, the temperature in 4 hours = -2 °F

Thus, option (D) is true.

5 0
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Step-by-step explanation:

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Step-by-step explanation:

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