Sheila lives in a $95,000 brick home in the country with contents valued at

The amount of sales tax on a new car is directly proportional to the purchase price of the car. Victor bought a new car for $30,

Airida [17]

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

3 0

3 years ago

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Can someone solve 8 = b - 1 + 8b STEP BY STEP PLEASE

andrew11 [14]

Answer:

8 = b - 1 + 8b

group like terms

8 + 1 = b + 8b

9 = 9b cus b standing alone me 1b

divide both side by 9

9 9

b = 1

7 0

3 years ago

6. A foresting service conducted a survey to see if tree farms that planted hardwood trees were more profitable over a 30-year p

stira [4]

No, because there is not enough information given to make a conclusion. Providing a percentage of 46% higher profit per acre doesn't mean statistical significance as it could be data-based only. There should be a given p value to make a conclusion about statistical significance.

3 0

3 years ago

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PYTHAGOREAN THEOREM IN 3D URGENT PLEASE PHOTO INSERTED

Andrews [41]

To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.

<h3>Pythagorean Theorem</h3>

This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.

To calculate the base of the triangle, let's use Pythagorean theorem here

$x^2 = y^2 + z^2\\x^2 = 2^2 + 3^2\\x^2 = 4 + 9 \\x^2 = 13\\x = \sqrt{13} \\x = 3.61$