The product of 8 and 54 is 46
To answer this question, you need to know that a quarter is worth $0.25 and dimes worth $0.10. In this case, the total number of money that made from quarters and dimes is $2.80
With Q=quarter and D=dime, then the equation should be:
2.80= 0.25 Q + 0.10 D
The condition that needs to be fulfilled in this case is that the quarter should be 8 more than dimes. Then you need to find out the highest possible number of the quarter and lowest possible number of the dimes.
If you divide 2.8 with 0.25 you will found it will be 11.2 but 11 quarter will result with 0.05 value which you cannot remove, so the highest possible of the quarter should be 10.
If the highest possible of the quarter is 10, then the lowest possible of dimes should be:
2.8= 0.25(10) + 0.10D
0.10D= 0.3
D=3
Since 10-3 is 7, then it is not possible for the quarter to be 8 more than the dimes.
Responder:
Por favor, consulte la explicación.
Explicación paso a paso:
Dado lo siguiente:
Número de bailarines = 156
Sea número de bailarines en una columna = c
Número de bailarines seguidos = c + 20
Multiplicar el número de bailarines en fila y columna dará el número total de bailarines.
Por lo tanto,
c * (c + 20) = 156
c² + 20c = 156
c² + 20c - 156 = 0
c² + 26c - 6c - 156 = 0
c (c + 26) - 6 (c + 26) = 0
(c + 26) = 0 o (c - 6) = 0
c = - 26 o c = 6
C no puede ser negativo
Por lo tanto,
Número de bailarines en columna = 6
Número de bailarines en fila = 20 + 6 = 26
There are g(f(x)) and f(g(x))
do them then evaluate
lets say
f(x)=3x
g(x)=9x^3-4
g(f(x))=9(3x)^3-4=243x^3-4
f(g(x))=3(9x^3-4)=27x^3-12
we can see that g(f(x)) with yield a higher value for x=10
