Given:
Each smoothie requires 20 ounces of cranberry juice and 10 ounces of passion fruit.
There are 1260 ounces of cranberry juice.
There are 650 ounces of passion fruit juice.
For the maximum servings of the smoothie, let
x = the number of 20-ounce cranberry juice used,
y = the number of 10-ounce passion fruit juice used.
The cranberry juice runs out when
20x = 1260
x = 63 servings
The passion fruit juice runs out when
10y = 650
y = 65 servings
Because x reaches, the cranberry juice runs out first after 63 servings of the smoothie.
There will be two 10-ounces = 20 ounces of the passion fruit left.
Answer:
(a) The cranberry juice runs our first.
(b) There will be 20 ounces of the passion fruit left over.
First, let's simplify the inequality

The graph looks like this:
Notice that the white dot is placed above the -6, it is important to include it like that.
Now, as an interval:
Answer:
$3.04
Step-by-step explanation:
$38 x .08 =3.04
Answer:

Step-by-step explanation:



Raising e to both sides cancels out the natural logarithm on the left side and we have our exponential form. This works with other bases (recall that the natural logarithm, ln, has base e)
Answer:
a) Amount of pasta remaining ≤ p(12 - 8)
b) Amount of pasta remaining ≤ 4p
Step-by-step explanation:
Amount of pasta in one container = p
Let y represent the amount of pasta that is left.
Since the students eat 8 containers worth of pasta out of 12 pasta containers
But we weren't told that the students did not eat out of the 4 remaining pasta containers
y ≤ p(12 - 8)
where y = p(12 - 8) if the students did not touch the remaining 4 containers.
b) Using the distributive property
p(12 - 8) = 12p - 8p
y ≤ 12p - 8p
y ≤ 4p