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mina [271]
4 years ago
14

Sales tax is currently 9.5% write an algebraic expression to represent the total amount paid for an item that cost d dollars aft

er tax is added to the purchase
Mathematics
1 answer:
alina1380 [7]4 years ago
6 0

Answer:

  1.095d

Step-by-step explanation:

The after-tax amount is ...

  d + 0.095d = d(1 +0.095)

  = 1.095d

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the figure below is a square . Find the length of side x in simplest radical form with a rational denominator.
wel

Answer:

\sqrt{14}

Step-by-step explanation:

In any square with side length s, the diagonal of the square is equal to s\sqrt{2}. Since the side length of this square is \sqrt{7}, the diagonal is equal to \sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}.

Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states a^2+b^2=c^2, where c is the hypotenuse of the triangle, and a and b are the two legs of the triangle.

In this question, both legs are equal to \sqrt{7}, and we're solving for the diagonal, which is the hypotenuse in this case:

\sqrt{7}^2+\sqrt{7}^2=c^2,\\c^2=14,\\c=\boxed{\sqrt{14}}

4 0
3 years ago
What is the value of x?<br> 4/5<br> -<br> 1/10<br> =<br> 3/10
Vladimir79 [104]

Answer:

1/2

Step-by-step explanation:

3 0
3 years ago
What is an exponent? Because i am confused
ollegr [7]

An exponent is a number written above and to the right side of a value or number in math. The value or number is called the base, and the expression is read out as;

"Base raised to the power of exponent."

An example is given below;

10^3

In this example, 10 is the base and 3 is the EXPONENT.

The expression is now read out as,

"10 raised to the power of 3"

Note that even unknown values (such x as we commonly use in math) can also be an exponent or base. For example, we can have;

\begin{gathered} 10^x \\ OR \\ 2x^3 \end{gathered}

So basically, an exponent indicates the number of times a number is used to multiply itself.

8 0
2 years ago
Cmon brainly help me with 8 through 12 im begging you
riadik2000 [5.3K]
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8 0
3 years ago
Giving brainliest for CORRECT awnser.
Doss [256]

Answer: x - 8

Step-by-step explanation:

Factor it and you'll be fine.

8 0
3 years ago
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