Label each nut with a variable, c = cashews, p = peanuts.....
for a 10-pound mix, you will need c + p = 10
the price for 10-pounds would become 3.29 x 10 = 32.90
You will need an unknown amount of cashews at 5.60/lb and an unknown amount of peanuts at 2.30/lbs to get your full 10 pounds valued at 32.90
5.60c + 2.30p = 32.90
Now you 2 have a system of 2 equations and 2 unknowns
c + p = 105.6c + 2.3p = 32.9utilize substitution to solve:p = 10-c
5.6 c + 2.3 (10-c) = 32.9
solve for c then substitute back into c + p = 10 to solve for P
Hope this helps!
For this case we can propose a rule of three:
bottle ------------> 
minutes
x --------------------------------------> 1 minute
Where the variable "x" represents the number of bottles that can be filled in 1 minute.
Thus, William can fill 
of a water bottle in 1 minute.
Answer:
William can fill of a water bottle in 1 minute.
Answer:
x=−3
y=1
Step-by-step explanation:
The difference is 2003.
The formula for the sum of the first n even numbers is SE = n^{2} + n, (E standing for even).
The sum of the first n odd numbers is SO = n^{2}, (O standing for odd).
Knowing this, plug 2003 for n,
SE - SO= (2003^{2} + 2003) - (2003^{2}) = 2003
The difference is 2003.
A number that can be divided into two halves, i.e. into two equal parts is called an even number. Even numbers are exactly divisible by 2 which means the remainder will be 0.
Learn more about Even numbers here: brainly.com/question/251701
#SPJ4
Answer:
<h3>495 different ways</h3>
Step-by-step explanation:
This question bothers on combination. Combination has to do with selection. When selecting r objects from a pool of n objects, this is expressed as;
nCr = n!/(n-r)!r!
For us to choose rank the first 4 choices from 12 students nominated, this can be done in 12C4 number of ways;
12C4 = 12!/(12-4)!4!
12C4 = 12!/8!4!
12C4 = 12*11*10*9*8!/8!*4*3*2
12C4 = 12*11*10*9/24
12C4 = 11880/24
12C4 = 495 ways
Hence this can be done in 495 different ways
