x + y = 3.36 --> the boys are splitting $3.36
x = 3y - .12 --> one boy received $.12 less than 3 times as much as the other
--> substitute the second equation for the x in the first equation
(3y - .12) + y = 3.36 --> combine like terms
4y - .12 = 3.36 --> add .12 to both sides of the equation
4y = 3.48 --> divide both sides by 4
y = .87
the other boy gets $0.87
substitute into x = 3y - 12
x = 3(.87) - .12
x = 2.61 - .12
x = 2.49
the first boy gets $2.49
Answer:
p (6, -4)-------------->p'(6,4)
Answer:
448.23
Step-by-step explanation:
Sales tax is addition to the original price
The original price is 100%
First we find 1% of this, which is 415.99 / 100 = 4.1599
Then multiply this by 7.75 = 32.239225
Add this to the original price = 415.99 + 32.239225 = 448.229225
You have to round this to an appropriate number as the question uses two decimal places I think this will suffice = 448.23
Answer:
Step-by-step explanation:
Given
Position of particle is 
i.e. distance from x axis is 
Distance from y axis at
velocity is given by 
Similarly acceleration is given by
Magnitude of acceleration is 
From 1 and 2 we can see that
Magnitude of acceleration is proportional to distance from x axis
Answer:
c. there are 4 fewer sixth graders than eighth graders who would prefer the same amount of time between classes.
Step-by-step explanation:
the answer is c because it's the only logical one. while there are 5 eighth graders who want the same amount of time and 1 sixth grader. 5-1 is 4. 4 fewer.
