Question

Solve the following word problem the air temperature at 9 AM is -5.8°C. The air temperature at noon is -1.6°C. What is the change in the temperature during it three hours right and solve an equation to show your answer, then explain what your answer means

Answer 1

To find the change in temperature during the three hours, we need to find the difference between the temperature at 9 AM and the temperature at noon.

Let's denote the change in temperature as ΔT.

At 9 AM, the temperature is -5.8°C.
At noon, the temperature is -1.6°C.

The equation that represents the change in temperature is:
ΔT = (-1.6) - (-5.8)
= -1.6 + 5.8

Simplifying the equation:
ΔT = 4.2

Therefore, the change in temperature during the three hours is 4.2°C.

This means that the temperature increased by 4.2 degrees Celsius from 9 AM to noon.

Answer 2

Determine the sign of the product of −0.708×−6.24.(1 point)
Responses

both positive and negative
both positive and negative

The product has no sign.
The product has no sign.

negative
negative

positive

Answer 3

The correct answer is positive.

Answer 4

Multiply −5×(−4).(1 point)
Responses

−9
negative 9

9
9

20
20

−20

Answer 5

The correct answer is 20.

Answer 6

Multiply 11×−9.(1 point)
Responses

−99
negative 99

99
99

2
2

−2
negative 2

Answer 7

The correct answer is -99.

Answer 8

Which of the following shows the Commutative Property of Multiplication?(1 point)
Responses

a×b=b×a
a times b equals b times a

a×(−1)=−a
a times left parenthesis negative 1 right parenthesis equals negative a

a×1=a
a times 1 equals a

a×(b×c)=(a×b)×c

Answer 9

The correct answer is "a×b=b×a" which means "a times b equals b times a." This demonstrates the Commutative Property of Multiplication.