Answer:
1. Lisa purchased almonds for $3.00 and spent $24.90.
The quantity of almonds bought is therefore:
= Total amount spent / Cost per pound
= 24.90 / 3
= 8.3 pounds
2. If the price goes up to $3.50 per pound and the maximum Lisa can spend is $25, the number of pounds she can get is:
= Maximum amount for almonds / Price per almonds
= 25 / 3.5
= 7.14 pounds
Answer:

Step-by-step explanation:
We have a separable equation, first let's rewrite the equation as:

But:

So:

Multiplying both sides by dx and dividing both sides by 3a+y:

Integrating both sides:

Evaluating the integrals:

Where C1 is an arbitrary constant.
Solving for y:


So:

Finally, let's evaluate the initial condition in order to find C1:

Solving for C1:

Therefore:

The correct answer is C. 6(x-4)
Since each type of drink (lemonade, water, and juice) is equally likely to be chosen, the probability of choosing a type of drink is 1 in 3 picks. Thus, in order to get all three types of drinks, one must pick 3 times.