Answer:
Difference between high and low temperatures: 12°F
Average change in temperature per hour: 2°F
Step-by-step explanation:
The difference between high and low temperatures was: 7 - (-5) = 12 (°F)
Midnight is 12am, so 6pm to midnight is 6 hours.
The average change in temperature per hour is: 12 / 6 = 2 (°F)
Answer:
Its 58
Step-by-step explanation:
2+2+2+2+2+4+4+4+6+10+10=58 but the closest number to it is 56
Answer: Yes
Step-by-step explanation: To determine whether 7/3 is a rational number, remember all fractions either positive or negative are rational numbers.
Therefore, 7/3 is a rational number.
Answer:
570 m³
Step-by-step explanation:
The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).
We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:

Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:

To get the best estimate of the total volume, let us find the average of the two values, hence:

The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The equation of the given line is expressed as
3x - 6y = 30
Rearranging it so that it will look like the slope intercept form, it becomes
6y = 3x - 30
Dividing both sides by 6, it becomes
6y/6 = 3x/6 - 30/6
y = x/2 - 5
Looking at the equation, slope, m = 1/2
If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2
To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute
x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes
- 9 = 1/2 * 4 + c
- 9 = 2 + c
c = - 9 - 2
c = - 11
By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be
y = x/2 - 11