Answer:
13058.83 cubic inches
Step-by-step explanation:
Given that a rectangular box is having dimensions as 41x81 inches.
Let x be the side of square cut from all the four corners.
The open box made would have height as x and length 41-2x with width 81-2x
Volume =

Equate first derivative to 0
We get applicable root as x = 8.642
Max volume = 13058.83 cubic inches
Answer:
13 l of 15%, 13 l of 25%, 26 l of 70%
Step-by-step explanation:
solutions:
final solution:
This includes 0.45*52l= 23.4 l acid
Let's assume:
- amount of 15% solution= x
- amount of 25% solution= y
- amount of 70% solution= z
- and we have z=2y
so there are 2 equation:
or
- x+y+2y= 52 ⇒ x+3y= 52 ⇒ x= 52- 3y
- 0.15x+1.65y=23.4
- 0.15*(52-3y)+1.65y=23.4
- 7.8-0.45y+1.65y=23.4
- 1.2y=23.4-7.8
- 1.2y= 15.6
--------
- x= 52- 3*13= 13 l
- z= 2y= 2*13= 26 l
1157/500 is as simple it can be as a fraction .
Rate of Change represents the number of apartments cleaned each hour & this is linear.
Answer:
840 soles
Step-by-step explanation:
Sea la cantidad de dinero que Mateo tenía al principio = x
Mateo compró un artefacto gastando 3/7 de su dinero, dejándole 360 soles,
Por eso,
3/7 × x = 360 soles
3x / 7 = 360 soles
Multiplicar cruzada
3x = 7 × 360 soles
x = 7 × 360 soles / 3
x = 840 soles
Por tanto, el dinero que tenía Mateo al principio es de 840 soles