Find the sum of p and q if p = 3/4 and q =−11/4. Reduce your answer to lowest terms.

_______

To find the sum of p and q, we add their values together:

p + q = 3/4 + (-11/4)

To add fractions, we need to have a common denominator. The common denominator of 4 and 4 is 4.

p + q = (3 - 11)/4

Now we can subtract the numerators:

p + q = -8/4

The fraction -8/4 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:

p + q = -2/1

Therefore, the sum of p and q is -2.

Add (−12) and (−15).(1 point)

−3
negative 3

3
3

27
27

−27

To find the sum of -12 and -15, we add their values together:

(-12) + (-15) = -27

Therefore, the sum of -12 and -15 is -27.

Add 10.82+(−15.96).(1 point)

To add 10.82 and -15.96, we simply add their values together:

10.82 + (-15.96) = -5.14

Therefore, the sum of 10.82 and -15.96 is -5.14.

Solve the following problem:

It was 13°C yesterday, but the temperature changed by −18.6° overnight. What is the temperature now?(1 point)
____ °C

To find the current temperature, we need to subtract the change in temperature from the initial temperature:

13°C + (-18.6°C) = -5.6°C

Therefore, the current temperature is -5.6°C.

Use the additive inverse to find −492.89 − (−871.78).(1 point)

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To find the subtraction of -492.89 and -871.78, we can use the additive inverse.

−492.89 − (−871.78) is equivalent to −492.89 + 871.78.

Now, we can add the values together:

−492.89 + 871.78 = 378.89.

Therefore, −492.89 − (−871.78) is equal to 378.89.

Determine the distance between −18.26 and −2.45 on a number line.(1 point)

Responses

20.71
20.71

15.81
15.81

−20.71
negative 20.71

−15.81