Answer: fluffy is 11 years old
Scuffy is 8 years old
Step-by-step explanation:
Let x represent the present age of Fluffy the cat.
Let y represent the present age of Scuffy the dog.
Fluffy the cat is 3 years older than Scuffy the dog. This means that
x = y + 3 - - - - - -- - - - - 1
Six less than five times Scruffy's age is one more than three times Fluffy's age. This means that
5y - 6 = 3x + 1
5y - 3x = 1 + 6
5y - 3x = 7 - - - - - - - - - -2
Substituting equation 1 into equation 2, it becomes
5y - 3(y + 3) = 7
5y - 3y - 9 = 7
5y - 3y = 7 + 9
2y = 16
y = 16/2 = 8
x = y + 3
x = 8 + 3 = 11
Answer:
44 units
Step-by-step explanation:
We know that in a parallelogram opposite sides are equal.
Therefore AB=CD and AD=BC
Consider AB=CD,
⇒4y-2=2y+6
⇒2y=8
⇒y=4
Now consider AD=BC,
⇒3x-1=2x+2
⇒x=3
now substituting values of x and y in the expressions of sides,
we get AB=CD=14 units and AD=BC=8 units
Therefore perimeter of parallelogram is 2*(AB+BC)=2*(14+8)=<u>44 units</u>
The factor that changes when the manipulated, or independent, variable is changed is known as the dependent variable. This variable is one of the two variables that are being investigated. When graphing the results of an experiment, the independent variable's values are placed on the x-axis of the graph and the values of the dependent variable are placed on the y-axis. An example of a manipulated variable and dependent variable relationship is seen in an investigation where the effect of temperature (manipulated) is seen on the amount of sugar that can be dissolved in water (dependent).