Let the cost of one cup of hot chocolate be = x
Let the cost of one cup of hot tea be = y
Paul paid $ 25.50 for 3 cups of hot chocolate and 4 cups of tea.
Equation becomes = 
...(1)
As given, the cost of each cup of tea was 2/3 the cost of each cup of hot chocolate.
.... (2)
Putting the value of y from (2) in (1)
=
=
=
x=4.5
=
y =3
Hence each cup of hot chocolate is $4.50
Each cup of tea is $3.
Answer: 1. 3801
Step-by-step explanation:
Log 24 = Log(8x3)
From the laws of Logarithm
Log ( a xb) = Log a + Log b
so, Log (8x3) = Log8 + Log 3
Also Log 8 can be written as Log
since is still 8 , so the expression becomes
Log + Log 3
⇒ 3 Log 2 + Log 3
since the value of Log 2 and Log 3 has been given , substitute into the expression , we have
3 (0.3010) + 0.4771
= 0.903 + 0.4771
= 1.3801
A logarithm is defined as a power to which a number must be raused to in order to get another number. For example,
This is because
So if we have
We have to determine what number must 10 be raised to in order to give 13 so we have
N + 4 / 3 = 1 / 3
Multiply both sides by 3 :
3* ( N + 4 / 3 ) = 3 * ( 1 / 3 )
∴
N + 4 = 1
Subtract 4 from both sides:
N + 4 - 4 = 1 - 4
N = - 3
hope this helps !.
