Answer:
10 rows with 6 passengers per row
Step-by-step explanation:
Let x be the number of rows and y the number of passengers per row.
Then we can interpret the story as the following two equations:
xy=60
(x+2)(y-1)=60
Solving these two equations:
y=60/x
(x+2)(60/x-1)=60 (substitute y)
60 - x + 120/x - 2 = 60 (multiply by -x)
x² + 2x - 120 = 0 (factor)
(x-10)(x+12) = 0
x = 10
y = 60/10 = 6
and indeed 10 * 6 = 60 and also 12 * 5 = 60
So,
Proportion basically means, that something is proportional
Example: A rope's length and weight are in proportion.
It's in proportion because the longer the rope, the more the weight
so, let's say
A popcorn machine costs 20 an hour
And in order to rent one, you have to pay $32 dollars
So you pay 32 for the machine, then 20 for every hour you use it
the number of hours used WOULD be proportional to the cost because
the more hours used, the more the cost
your final answer: YES it is proportional
Answer:
Primero veamos el área de la pared, es decir, el área total que Samuel debe cubrir.
La pared es de 3m por 2m.
Entonces el area es:
A = 3m*¨2m = 6m^2.
Ahora veamos los mosaicos.
Cada mosaico es un cuadrado de 20cm por 20cm.
El primer paso sería cambiar las unidades para tener metros aca también.
1cm = 0.01m
entonces.
20cm = 20*0.01m = 0.2m.
Entonces cada mosaico es:
0.2m por 0.2m
El área de cada mosaico es:
a = 0.2m*0.2m = 0.04m^2.
En una caja de mosaicos hay 14 mosaicos, entonces con una caja Samuel puede cubrir 14 veces a, o:
14*0.04m^2 = 0.56m^2.
Y Samuel tiene 11 cajas, entonces tenemos 11 veces lo de arriba:
11*0.56m^2 = 6.16m^2.
Y el área de la pared es 6m^2.
6.16m^2 > 6m^2
Entonces con las 11 cajas de mosaicos podemos cubrir completamente esa pared, y vamos a tener algunos mosaicos sobrantes.
Entonces Samuel no debe comprar mas cajas.
Answer:
here's the steps
Step-by-step explanation:
first of the numbers inside the [ ] is always positive.Now since the 3 is outside the [ ] you use it like a tool and don't change it, so nothing happen to it.since ^3 is missing a base (variable, cannot remember exact name) but is not missing ^3, which make them alike enough to multiply because 3 is outside of () nut the ^3 will stay the same (don't know why but that's how math works)
