Answer:
Rita paid 47,500 dollars for the purchase price.
Step-by-step explanation:
We are given the sales tax on a new car is directly proportional to the purchase price of the car which means there is is something k such that
when you multiply it to the sales tax you get the purchase price.
Let's set this equation:
y=kx
Let y represent the purchase price and x the sales tax.
The second sentence tells us that (x,y)=(1500,30000).
We can plug this into y=kx to find the constant k. (Constant means it stays the same no matter what the input and output is).
So we have:
30000=k(1500)
300 =k(15) I went ahead and divided previous equation by 100.
Now divide both sides by 15:
300/15=k
Simplify:
20=k
So the equation to use the answer the question is
y=20x
where y is purchase price and x is sales tax.
So we want to know the purchase price on a car if the sales tax is 2375.
So replace x with 2375:
y=20(2375)
y=47500
125.638 rounded to the nearest hundredth equal 125.64
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Answer:
1) y = 3x+5
2) y = 
3) y = -x + 0
4) y = 
5) y = 
Step-by-step explanation:
y = mx+b
In slope-intercept form, these are important to know:
- y and x should stay as variables
- m = slope of the line
- b = y intercept
Using the facts above⬆, we can solve these problems
Remember: Substitute m and b using the given information
1) y = 3x+5
2) y =
3) y = -x + 0
4) y =
5) y =
Hope this helps :)
Have a great day!
Answer:
Step-by-step explanation:
Given the equation:
To find:
The solutions of given equation in the range [0, 2
) i.e. 0 can be in the answer but 
can not be there in the answer.
Solution:
Taking 
common, we get:
The solutions can be given as:
OR 
Let us solve both the equations one by one:
First equation:
Second equation:
Therefore, the answers as a comma separated list are:
