Let's let x equal the original price of the dress.
We know that 16.6666% is equal to 0.16666 in decimal form by dividing the percent by 100.
So we can set up the equation:
because we know the discount, and we know that the discount of the original price was subtracted from the original price.
So then let's simplify by taking out x, the common factor:
Then solve for x:
So now we know that the original price of the dress was $39.
Question 1:
To start off this question, we can tell that this is a square because it has 4 right angles and 4 congruent sides.
A square has four parallel sides and 4 congruent sides, so a square is a rhombus and parallelogram.
A square has 4 right angles, so it's also a rectangle.
A square has 4 sides, so it's also a quadrilateral.
The first choice is your answer.
Question 2:
Not all quadrilaterals are rectangles, so A is incorrect.
Not all quadrilaterals are squares, so B is incorrect.
All rectangles are types of quadrilaterals, so C is correct.
Not all quadrilaterals are parallelograms, so D is incorrect.
Thus, C is your answer.
Question 3:
The first choice will not work because a rhombus will satisfy those conditions, and a rhombus is not always a square.
The second choice will work because only a square will satisfy that condition because only squares have 4 congruent sides along with equal diagonals.
Thus, the second choice is your answer.
Have an awesome day! :)
Step-by-step explanation:
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Answer:
∫(x+25x)dx=13x²
Step-by-step explanation:
From Exercise, we want calculate integral for x + 25 x dx.
But this not required a substitution to express the integrand as a rational function. We can calculte integral, and we get
∫(x+25x)dx= ∫x dx+25∫x dx=x²/2+ \frac{25}{2} · x^2=\frac{26}{2}·x^2=13x²
Therefore, we get that is
∫(x+25x)dx=13x².
The answer to this is a=3.6
