Answer:
55/4
Step-by-step explanation:
Answer:
1. 9 minutes
Step-by-step explanation:
1. If she runs 5 miles in 45 minutes, you have 5 miles = 45 minutes. If you divide both sides of this ratio by 5, you get 1 miles = 9 minutes
2. Find out how many each person sells per week:
Emily: 4 boxes = 2 weeks
divide both sides by 2
2 boxes = 1 week
Jose: 9 boxes = 3 weeks
divide both sides by 3
3 boxes = 1 week
This means that jose sells more, because 3 boxes > 2 boxes
Answer:
The model for the temperature of the drink can be written as
Step-by-step explanation:
For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.
We can model that in this way
If we rearrange and integrate
We know that at time 0, the temperature of the drink was 52°F. Then we have:
We also know that at t=2, T=55°F
The model for the temperature of the drink can be written as
Answer:
-66/7
Step-by-step explanation:
1/3x-11=3/2x
2/6x-11=9/6x
7/6x=-11
x=-66/7
Step-by-step explanation:
Let's rewrite the given equation such that only y is on the left side and everything else on the right side:
Simplifying this by dividing by 6, we get
This line has a slope of -1/2, which means that a line perpendicular to this has a slope of 2 (i.e., negative reciprocal). So we can write its equation as
This is the slope-intercept form of the equation of the line perpendicular to our given line. To complete this form, we need to find the value of b. Since this line passes through (1, -7), put these numbers into our equation to get
Therefore, the slope-intercept form of the equation can be written as