What we know:
quotient 9.2 x 10^6/ 2.3 x 10²
in quotients exponents are subtracted of they have the same base, for example 10^6 and 10² have the same base of 10
What we need to find: quotient 9.2 x 10^6/ 2.3 x 10²
9.2 x 10^6
-------------- = 4 x 10^4
2.3 x 10²
Here in this problem I divided 9.2 by 2.3 and got 4, since the solution was simple and clean meaning no repeated decimals I went ahead and divided the 10^6 by 10^2 and got 10^4.
Another method would be to expand both numbers then divide and do scientific notation again.
Remember to change to normal notation you move the decimal to the right using the number of the exponent.
9.2 x 10^6= 9200000
2.3 x 10²= 230
920000/230=40000
40000= 4 x 10^4 scientific notation
Use the method that is best for you or just know you can use either method to check your work.
Answer:
option D
Brianna
Step-by-step explanation:
Given in the question the expression wrote by Mr.Walden

To write the simplified form of this expression we will use negative rule of exponent
= 1 / 

so,


Only Brianna wrote right simplification of the expression written by Mr.Walden
To figure out this problem, let's set up an equation first to make it easier:
702.50 = 5.5x + 70
x = amount charged per hour
702.50 = 5.5x + 70
-70 -70
-----------------------------
632.5 = 5.5x
/5.5 /5.5
--------------------
115 = x
Owen was charged $115 per hour
Tan socks = 4
Grey socks = 7
Total number of socks = 4+7 = 11 socks
Probability of picking a tan sock then grey sock:
P(T)*P(G) = (4/11)*(7/10) = 14/54
Probability of picking a Grey sock then Tan sock
P(G)*P(T) = (7/11)*(4/10) = 14/55
Probability of two different colored socks
P(T&G)+P(G&T) = (14/55)+(14/55) = 28/55
Complete question :
En un concesionario de coches hay modelos de varios colores. Los rojos suponen 1/6 del total, los azules, 2/9 del total, y los blancos, 4/15 del total.
a)¿Cuál de esos colores es el más frecuente?
b) Si hay 40 coches azules, ¿cuántos hay en total?
Responder:
Coches blancos
180 coches
Explicación paso a paso:
Dado que:
Rojo = 1/6 del total
Azul = 2/9 del total
Blanco = 4/15 del total
Para determinar qué color es el más alto, convierta los valores en decimal:
1/6 = 0,166667
2/9 = 0,2222
15/4 = 0,26667
Por lo tanto;
4/15> 2/9> 1/6
Por tanto, los coches blancos son los que más
2.)
Sea Número total = x
Por lo tanto,
2/9 de x = 40
2x / 9 = 40
2x = 360
x = 180
Por tanto, hay 180 coches en total.