Answer:
P=$254
Step-by-step explanation:
let Hot N' Spicy be x
and Mild Mannered be y
the objective function is
38x+35y=P
the constraints are
1. tomato sauce
2x+3y=18--------1
2. hot peppers
2x+y=10--------2
solving 1 and 2 we have
using substitution method
2x+y=10--------2
y=10-2x
put y=10-2x in eqn 1
2x+3(10-2x)=18
2x+30-6x=18
2x-6x=18-30
-4x=-12
x=12/4
x=3
put x=3 in eqn 2 we have
2(3)+y=10
6+y=10
y=10-6
y=4
He should make 3 gallons of Hot N' Spicy
and 4 gallons Mild Mannered
38(3)+35(4)=P
114+140=P
254=P
P=$254
Answer:
96
Step-by-step explanation:
To determine how much additional wax was needed to make the taller candle, we determine the volume of each of the candles and find the difference in their volumes
<u>First Candle</u>
- Height=12cm
- Length=4 cm
- Width= 6 cm
Volume=Height X Length X Width
=12 X 4 X 6
=288![cm^3](https://tex.z-dn.net/?f=cm%5E3)
<u>Second Candle</u>
The second candle is 4cm higher
- Height=12+4=16cm
- Length=4 cm
- Width= 6 cm
Volume=Height X Length X Width
=16 X 4 X 6
=384![cm^3](https://tex.z-dn.net/?f=cm%5E3)
Difference in Volume = 384-288 =96![cm^3](https://tex.z-dn.net/?f=cm%5E3)
Therefore, 96
of additional wax was used to make the second candle.