Answer:
see the attached
Step-by-step explanation:
The total cost of Kaylee's purchases will be the sum of products of the number bought and the cost of the item bought. She wants this total to be at most $20. In math terms, where x and y represent songs and TV episodes, the inequalities describing the scenario are ...
- 1.29x +2.99y ≤ 20
- x ≥ 0
- y ≥ 4
The attached graph shows a plot of this set of inequalities with the feasible region shaded red. The combinations of songs and TV episodes Kaylee can afford are shown by the coordinates of the red dots in the feasible region.
According to the "special," if Kaylee buys 6 songs (and 4 TV episodes), she will get a 7th song free. That is, the "special" means point (6, 4) becomes (7, 4) if there is a 7th song that Kaylee wants.
Answer:
The absolute value of 12, is 12...
Step-by-step explanation:
Given :
Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale.
To Find :
If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all.
Solution :
Let, Ginger makes x pitchers of power smoothies :

Now, it is given that Ginger makes 6 pitchers of power smoothies.
Total scoops are :

Therefore, number of scoops Ginger used is 84.
Hence, this is the required solution.
Answer:

Step-by-step explanation:
Recall that the quadratic formula gives you the pattern to follow in order to find the solutions to a quadratic equation of the form: 
It tells us that we need to use the parameters
and
in the following formula in order to get the answers for the x-values that solve it:

so, in our case,
,
, and 
then, replacing these values in the formula, we obtain:

Which looks like the third expression you are listing (although it is a little hard to read)
Answer:

Step-by-step explanation:
We have been given that a label wraps around soup can with a radius of 4.3 cm and a height of 6 cm. We are asked to find the lateral surface area of the label of the soup can in square centimeters.
We will use lateral surface area of cylinder to solve our given problem as:
, where,
r = Radius of cylinder,
h = height of cylinder.
Upon substituting our given values in above formula, we will get:



Therefore, the lateral surface area of the label of the soup is approximately 162.11 square cm.