Answer:
228
Step-by-step explanation:
22*10-220
220+8=228
Answer:
120
Step-by-step explanation:
multipy 30 by 4 and you should get 120.
You can even do 30+30+30+30 and it will also add up to 120.
Answer:
76.46m
Step-by-step explanation:
Using what we know we can solve for the length of the support wire using Pythagoras.
Height of tower = 75m
Support wire 20 m from top
Angle formed (α) = 46°
Using Pythagoras :
Sinα = opposite / hypotenus
Height used = height of tower - 20 m from top
Height = opposite = (75 - 20)m = 55m
Hypotenus = Length of support wire
Sin 46 = 55m / hypotenus
Hypotenus * sin 46 = 55
0.71934 * hypotenus = 55
Hypotenus = 55/0.71934
Hypotenus = 76.458976
Hence, Lenght of support wire = 76.46 m
x + a (over(fraction)) ax = b (over(fraction)) x
Part 1. Show all work to solve for x in the equation and check the solution.
Part 2. Explain how to identify the extraneous solution and what it means.
Answer:
x = 7 is a solution
x = -2 is an extraneous solution.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Using the equation below as a model, fill in numbers in the place of a and b to create a rational equation that has an extraneous solution.
X + 4 / 4x = 8 / x
Part 1. Show all work to solve for x in the equation and check the solution.
X + 4 / 4x = 8 / x
x(x + 4) = (4x)8
x^2 + 4x = 32x
x^2 + 4x - 32x = 32x - 32x
x^2 - 28x = 0
x(x - 28) = 0
X = 0 or x = 28
Part 2. Explain how to identify the extraneous solution and what it means.
The solution x = 0 is extraneous because you are not allowed to divide by 0.
Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)
Answer:
a) La pizza tenía 8 porciones.
b) Julián comió 2 porciones.
c) Juan comió 4 porciones.
d) Mica comió 2 porciones.
e) No sobraron porciones.
f) Véase la imagen adjunta para mayor detalle.
Step-by-step explanation:
Sean , , las razones de consumo de Julián, Mica y Juan, de acuerdo con una lectura cuidadosa del enunciado tenemos que:
(1)
(i)Julián comió 2/8 del total:
(2)
(ii)Juan comió el doble que Julián:
(3)
(iii)Mica comió la mitad de lo que comió Juan:
(4)
Al aplicar (2) en (3), tenemos que Juan comió:
Y ahora se aplica el resultado anterior a (4):
a) El total de porciones queda representado en el denominador de las fracciones calculadas. Por tanto, la pizza tenía 8 porciones.
b) El número de porciones consumido por cada persona está representada por el numerador de las fracciones calculadas. Por tanto, Julián comió 2 porciones.
c) Juan comió 4 porciones.
d) Mica comió 2 porciones.
e) No sobraron porciones en tanto que la suma de porciones consumidas de las tres personas es igual al valor del denominador.
f) A continuación, anexamos el gráfico correspondiente que sustenta todos los cálculos matemáticos hechos en puntos anteriores.