The easiest way to isolate the variable is to multiply by the reciprocal. This leaves n on the left and 12*(5/3) on the right.
The answer is 20
Answer:
<u>3. The unit rate is 0.67 pages per minute</u>
Step-by-step explanation:
1. Let's check all the information given to us to solve the question:
Number of pages Anna Maria can read = 40
Time needed by Anna Maria to read those 40 pages = 60 minutes or 1 hour
2. What is her unit rate in pages per minute?
Current speed of reading of Anna Maria = 40 pages per hour
For calculating the unit rate in pages per minute, we do the following calculation:
40 pages/60 per 60 minutes/60 (Dividing by 60 the number of pages and the time needed)
2/3 pages per minute = 0.67 pages per minute (from fraction to decimals)
<u>3. Anna Maria can read 0.67 pages per minute</u>
Answer:
5.5 hours
Step-by-step explanation:
For every 1 hour, there is a 0.8 degrees Celsius drop in temperature.
Let "t" represent the total amount of temperature dropped.
Let "h" represent the number of hours
The given scenario can be represented with the equation below:
To find the number of hours (h), it takes for the temperature to decrease by 4.4 degrees Celsius, plug in the value of t in the equation, and solve for h.
Divide both sides by 0.8
It would take 5.5 hours for the temperature to decrease by 4.4 degrees Celsius.
You could complete the square to state the vertex.
You could use the quadratic equation to find the roots (which are complex).
Try an example that will require both.
y = x^2 + 2x + 5
Step One
Get the graph. That's included below.
Step Two
Provide the steps for completing the square.
Note: we should get (-1,4)
y= (x^2 +2x ) + 5
y = (x^2 +2x + 1) + 5 - 1
y = (x +1)^2 + 4
The vertex is at (-1,4)
Step Three
Find the roots. Use the quadratic equation. Note that the graph shows us that the equation never crosses or touches the x axis. The roots are complex.
a = 1
b = 2
c = 5
x = -1 +/- 2i
x1 = -1 + 2i
x2 = -1 - 2i And we are done.