Given:
The total cost of the order is

where, T is the total cost, b is the number of bath towels, and w is the number of wash cloths.
Her budget is $85.
To find:
The constraints, so that she can order a maximum of washcloths or bath towels.
Solution:
We have,

Her budget is $85. So, total cost is less than or equal to 85.
...(i)
For maximum number of bath towels, the number of wash cloths is 0.

Divide both sides by 6.
For maximum number of wash cloths, the number of bath towels is 0.


Divide both sides by 2.


Therefore, the required constraints for maximum of washcloths or bath towels are
and
respectively.
Answer: Undefined slope
Step-by-step explanation: Undefined slope is the a vertical line The x-coordinate never changes no matter what the y-coordinate which means there no run .
The amount of space not occupied by the rubber balls is given by:
Volume=(volume of the container)-(volume of the rubber balls)
volume of the container is given by:
V=πr²h
V=π*(5/2)²(20)
V=392.70 cm³
Volume of each ball is:
V=4/3πr³
V=4/3π(2.5)³=65.45 cm³
volume of four balls
65.45×4=261.8 cm³
The volume of the container that is not occupied by the balls will be:
V=392.70-261.8
V=130.9 cm³
Answer:
The solution to the given system of equations is (-2,
)
Therefore the values of x and y are x=-2 and 
Step-by-step explanation:
Given equations can be written as

Solving equation(2) we get
x=-2
Substitute x=-2 in equation (1) we get




Therefore the values of x and y are x=-2 and 
The solution to the given system of equations is (-2,
)
Answer:
0
Step-by-step explanation:
1/3(21)-1-1/2(12)
7-1-6=6-6=0