Answer:
To spend at most $93, they need to rent the room less than or equal 13 hours.
Step-by-step explanation:
<u><em>The complete question is</em></u>
To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry club wants to spend at most $93 on renting a room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t,
Let
t ----> the number of hours
we know that
I this problem the word "at most" means "less than or equal to"
The number of hours rented multiplied by the cost per hour, plus the reservation fee, must be less than or equal to $93
so
The inequality that represent this situation is

solve for t
subtract 15 both sides


Divide by 6 both sides

therefore
To spend at most $93, they need to rent the room less than or equal 13 hours.
Use Law of Cooling:

T0 = initial temperature, TA = ambient or final temperature
First solve for k using given info, T(3) = 42

Substituting k back into cooling equation gives:

At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:

Solve for x:

Sub back into original cooling equation, x = T(t)

Solve for t:

This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM
Answer:
Apple = $0.6
Banana = $0.75
Step-by-step explanation:
Let us represent Apple by A and Banana by B
For Joe,
5A + 4B = 6 (1)
For Dawn
3A + 6B = 6.3 (2)
To eliminate A, Multiply equation (1) by 3 and equation (2) by 5
15A + 12B = 18 (3)
15A + 30B = 31.5 (4)
subtracting equation (4) from (3)
15A - 15A +12B - 30B = 18 - 31.5
-18B = -13.5
divide through by -18
-18B/-18 = -13.5/-18
B = 0.75
substitute 0.75 in equation (1)
5A + 4B = 6
5A + 4(0.75) = 6
5A + 3 = 6
subtract 3 from both sides
5A + 3 - 3 = 6 - 3
5A = 3
divide through by 5
5A/5 = 3/5
A = 0.6
Answer:
$102
Step-by-step explanation:
You subtract $30 from $132. That gives you: $102.
I hope this helps, and i hope that it's correct. sorry if its not. have a great day!