Answer:
<em>She need </em><em>72 </em><em>index cards.</em>
Step-by-step explanation:
Ms. James has a 6 square foot bulletin board and a 12 square food bulletin board and she wants to cover both boards with index cards without gaps or overlaps.
Each index card has an area of
square foot.
Dividing the area of each board with the area of the index card will yield the the number of cards she needs to cover up completely.
Let us assume T₁ and T₂ are the number of cards she needs to cover 6 square feet food bulletin board and 12 square feet food bulletin board respectively. So

Therefore, in total she need 24+48=72 index cards.
Answer:
Constant of proportionality: 
Equation: 
Step-by-step explanation:
By definition, Direct proportion equations have the following form:

Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:

Then, the first step is to find the Constant of proportionality "k".
Knowing that:

We can substitute values into the equation:

Now, solving for "k", we get:

Therefore, we can write the following equation that represents that proportional relationship:

Answer:
p + 185 ≤ 480
p ≤ 295
At most 295 people can attend the play
Step-by-step explanation:
Divide 141 by 73
73 only goes into 141 once