<span>An oblong box has a volume equal to lwh, where l is the length, w is the width, and h is the height. If the volume is 24 cubic feet, solve for the height in terms of the other sides.
Given:
volume of 24 cubic feet
Required:
height
Solution:
V = 24 cubic feet
assume that the length, weight and height of the box are all equal
so l = w = h
24 = l^3
l = 2.88 feet</span>
Answer:
y = 
x
Step-by-step explanation:
Given that the quantities vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use either of the 2 given points
Using (12, 9), that is x = 12 when y = 9, then
k = 
= 
=
y = x ← equation of variation
Answer:
(1,0)
Step-by-step explanation:
The given functions are:
f(x) = log₂x
and
g(x) = log₁₀x
We know that logarithm of 1 is always zero.
This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1
Therefore the point the graphs of f and g have in common is (1,0)
Answer:
Al comienzo Juana tiene 28 libras de azúcar.
Ella hace 6 paquetes de 2.5kg cada paquete.
Entonces, entre los 6 paquetes, hay:
6*2.5kg = 15kg de azúcar.
Ahora el problema es que tenemos dos unidades distintas, kilogramos y libras.
Aca podemos usar la relación:
1k = 2.2lb.
Entonces 15kg de azúcar son 15 veces 2.2 libras:
15kg = 15*2.2lb = 33lb.
Esto nos da mas de lo que hay originalmente en el costal.
Ahora si lo pensamos como:
Solo vendió 5 paquetes de 2.5kg, entonces el sobrante queda en el costal inicial:
5*2.5kg = 12.5kg
De vuelta, 1kg = 2.2lb
12.5kg = 12.5*2.2lb = 27.5lb
En este caso hay un sobrante de:
28lb - 27.5lb = 0.5lb
