The amount of money Kyle paid is $25.
<h3>Determine the price of nachos and chocolates </h3>
Two simultaneous equations can be derived from the question:
3n + 3c = $45 equation 1
n = 2c equation 2
Where:
- n = price of nachos
- c = price of chocolate
In order to determine the price of chocolates, please substitute for n in equation 1.
3(2c) + 3c = $45
6c + 3c = $45
9c = $45
c = $45/9 = $5
In order to determine the price of nachos, please substitute for c in equation 2:
n = 2($5)
n = $10
<h3>Amount Kyle paid </h3>
2($10) + $5
$20 + $5
= $25
To learn more about simultaneous equations, please check: brainly.com/question/25875552
Answer:
419.25
Step-by-step explanation:
The calculation of the cost of materials for the cheapest such container is shown below:-
We assume
Width = x
Length = 2x
Height = h
where, length = 
Base area = lb
= 
Side area = 2lh + 2bh
= 2(2x)h + 2(x)h
= 4xh + 2xh
Volume = 24 which is lbh = 24

Now, cost is

now we have to minimize C(x)
So, we need to compute the C'(x)

C"(x) 
now for the critical points, we will solve the equation C'(x) = 0


So, x is a point of minima that is
= 
Now, Base material cost is

= 139.75
Side material cost is

= 279.50
and finally
Total cost is
= 139.75 + 279.50
= 419.25
Answer:
5 inch
Step-by-step explanation:
its b
Answer:
16 hours
Step-by-step explanation:
let t be time, n the number of computers and w the number of workers, then
t =
← k is the constant of variation
To find k use the condition n = 30, w = 6 and t = 10 , then
10 =
( multiply both sides by 6 )
60 = 30k ( divide both sides by 30 )
2 = k
t =
← equation of variation
When w = 5 and n = 40 , then
t =
=
= 16 hours