For this case, the first thing we must do is define variables:
x: number of quarters
y: number of nickels
We now write the system of equations:
x + y = 68
0.25x + 0.05y = 13.40
Solving the system we have:
x = 50
y = 18
Answer:
they have:
quarters = 50
nickels = 18
Answer:
The equation of the displacement 
as a function of time 
is :
Step-by-step explanation:
Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple 
or 
terms.
Thus,
is the general form of displacement of a SHM.
where,
- <em>
is the displacement with respect to the mean position at any time </em> - <em>
is amplitude </em> - <em>
is the natural frequency of oscillation (
)</em> - <em>
is the phase angle which indicates the initial position of the object in SHM (
)</em>
given,
- Time period (
) = 
- The natural frequency () and time period () is :
∴
= 
∴
the equation :
<em>⇒
</em> ------1
since 
when 
,
<em>⇒
------2</em>
where n is an integer ;
<u>⇒since the bouy immediately moves in the negative direction , 
must be negative or c must be an odd multiple of 
.</u>
<em>⇒ 
------3</em>
where k is also an integer ;
the least value of 
;
thus ,
the equation is :
<em></em>
Answer:
option A is the correct answer.
Step-by-step explanation:
For this case we have the following conversion:
20 pounds = 9 kilograms
To use the table what we must do is find another relationship that allows us to find the weight in kilograms for 30 pounds.
For example, half the weight in pounds is half the weight in kilograms.
Therefore, the given conversion is:
10 pounds = 4.5 kilograms
So, for 30 pounds, we multiply this last ratio obtained by three on both sides:
30 pounds = 13.5 kilograms
Then, the table is:
Pounds 10 20 30
kilograms
4.5 9 13.5
Answer:
Using the ratio table the dogs weight is:
30 pounds = 13.5 kilograms
