Answer:
gallons of punch in all = 4.5 gallons
Step-by-step explanation:
Morgan poured 3/4 gallons of punch into each of 6 bottles . This means Morgan poured 3/4 gallons of punch in each of the available 6 bottle .
He pours 3/4 gallons of punch in 1 bottle . For 6 bottles the gallons of punch poured is calculated below
1 bottle = 3/4 gallons of punch
6 bottles = ? gallons of punch
cross multiply
gallons of punch in all = 3/4 × 6
gallons of punch in all = 18/4
gallons of punch in all = 9/2 gallons
gallons of punch in all = 4.5 gallons
Inequalities are used to relate expression with unequal values
The inequality that describes the scenario is: ![\mathbf{c \ge 286}](https://tex.z-dn.net/?f=%5Cmathbf%7Bc%20%5Cge%20286%7D)
The baseball cards, you have received are:
![\mathbf{Grandfather = 125}](https://tex.z-dn.net/?f=%5Cmathbf%7BGrandfather%20%3D%20125%7D)
![\mathbf{Dad = 89}](https://tex.z-dn.net/?f=%5Cmathbf%7BDad%20%3D%2089%7D)
The total baseball cards, you received are:
![\mathbf{Receive= Grandfather + Dad}](https://tex.z-dn.net/?f=%5Cmathbf%7BReceive%3D%20Grandfather%20%2B%20Dad%7D)
So, we have:
![\mathbf{Receive= 125 + 89}](https://tex.z-dn.net/?f=%5Cmathbf%7BReceive%3D%20125%20%2B%2089%7D)
![\mathbf{Receive= 214}](https://tex.z-dn.net/?f=%5Cmathbf%7BReceive%3D%20214%7D)
You want to have a total of 500 or more before 18.
This means that:
![\mathbf{c + Receive \ge 500}](https://tex.z-dn.net/?f=%5Cmathbf%7Bc%20%2B%20Receive%20%5Cge%20500%7D)
Where c represents the number of baseball cards, you need to collect on your own
Substitute ![\mathbf{Receive= 214}](https://tex.z-dn.net/?f=%5Cmathbf%7BReceive%3D%20214%7D)
![\mathbf{c + 214 \ge 500}](https://tex.z-dn.net/?f=%5Cmathbf%7Bc%20%2B%20214%20%5Cge%20500%7D)
Collect like terms
![\mathbf{c \ge 500 - 214}](https://tex.z-dn.net/?f=%5Cmathbf%7Bc%20%5Cge%20500%20-%20214%7D)
![\mathbf{c \ge 286}](https://tex.z-dn.net/?f=%5Cmathbf%7Bc%20%5Cge%20286%7D)
Hence, the inequality that describes the scenario is:
![\mathbf{c \ge 286}](https://tex.z-dn.net/?f=%5Cmathbf%7Bc%20%5Cge%20286%7D)
Read more about inequalities at:
brainly.com/question/15137133
Answer is -7
Plug 4 in for g(x) and solve to get x=-7.Plug x=-7 in for f(x).
Answer:
y = 0.1x + 200
Step-by-step explanation:
Independent variable (y-intercept) = $200
Dependent variable (Slope) = 0.1 (10%)
Why?
Since Dave's salary is fixed, the $200 he is earning is an independent variable. The commission <em>depends</em> on his weekly sales. The weekly sales is said to be "x". Since 10% is a dependent variable, it goes together with x.
Answer:
Step-by-step explanation:
e^ lnx = x
e^ ln5 = 5
e^ ln 3x = 3x
I think you get the idea... e is an inverse operation to ln :o