Answer:
-2/3
Step-by-step explanation:
Log125(1/25)=x
Raise each side to the base of 125
125^Log125(1/25)=125^x
1/25 = 125^x
Rewrite 25 as a power of 5 and 125 as a power of 5
1 / 5^2 = 5^3^x
The if power is in the denominator, we can bring it to the numerator by making it negative
5^-2 = 5^3^x
We know that a^b^c = a^(b*c)
5^-2 = 5^(3*x)
Since the bases are the same, the exponents are the same
-2 = 3x
Divide by 3
-2/3 = 3x/3
-2/3 =x
Answer:
C. 609
Step-by-step explanation:
In the question, 4-digits number were given to be divided by a 2-digits number. Without performing the division, it is only reasonable to say that the quotient will be a 3-digits number.
In the given options, the only 3-digits number is 609
Also, you can multiply 609 by 12 to check how reasonable your guess is.
⇒ 609 x 12 = 7308
The difference between 7315 and 7308 is 7.
The remaining number (7) is not up to 12 and when 7 is divided by 12 it will not give a whole number digit.
Therefore, the only reasonable quotient in the given options is 609.
Answer:
500 and 900
Step-by-step explanation:
3(x - 300) + 2(x + 100) = 3300 ← distribute parenthesis
3x - 900 + 2x + 200 = 3300
5x - 700 = 3300 ( add 700 to both sides )
5x = 4000 ( divide both sides by 5 )
x = 800
Then
cost of book = x - 300 = 800 - 300 = 500
cost of pen = x + 100 = 800 + 100 = 900
1 is milli. 2 is kilo. 3 is centi. 4 is meter. 5 is kilogram. 6 is liter.
