With a 20% discount, Ella was able to save $40 on a dress. What was the original price of the dress?

Answers

Answer 1

Answer: The original price of the dress was $200. This is because 20% of 200 is $40 which was the price after the discount.
Hope this helps :>

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Ax+by=1
bx-ay=a+b
solve in linear equation in 2 variables

Answers

$\left\{\begin{array}{ccc}ax+by=1&/\cdot a\nbx-ay=a+b&/\cdot b\end{array}\right\n\n+\left\{\begin{array}{ccc}a^2x+aby=a\nb^2x-aby=ab+b^2\end{array}\right\n------------\n.\ \ \ \ \ a^2x+b^2x=a+ab+b^2\n.\ \ \ \ \ \ (a^2+b^2)x=a+ab+b^2\n.\ \ \ \ \ \ \ \ \ \ \ \ x=(a+ab+b^2)/(a^2+b^2)\n\na\cdot(a+ab+b^2)/(a^2+b^2)+by=1\n\n(a^2+a^2b+ab^2)/(a^2+b^2)+by=1\n\nby=1-(a^2+a^2b+ab^2)/(a^2+b^2)$

$by=(a^2+b^2)/(a^2+b^2)-(a^2+a^2b+ab^2)/(a^2+b^2)\n\nby=(a^2+b^2-a^2-a^2b-ab^2)/(a^2+b^2)\n\nby=(b^2-a^2b-ab^2)/(a^2+b^2)\n\ny=(b^2-a^2b-ab^2)/(a^2b+b^3)$

$y=(b(b-a^2-ab))/(b(a^2+b^2))\n\ny=(b-a^2-ab)/(a^2+b^2)\n\nAnswer:\n\nx=(a+ab+b^2)/(a^2+b^2)\ and\ y=(b-a^2-ab)/(a^2+b^2)$

ax+by=1
bx-ay=a+b
The solution in attached file

I am so confused Please Help it is DUE NOW!!Select the polynomial that is a perfect square trinomial.
9x^2 + 9x + 1
36b^2 − 24b + 8
16x^2 + 24x + 9
4a^2 − 10a + 25

Answers

Answer:

16x^2 + 24x + 9

Step-by-step explanation:

perfect square trinomial is of the form

a^2 + 2 * a * b + b^2

9x^2 + 9x + 1 = (3x)^2 + 3*3x*1 + 1^2 not a perfect square trinomial

36b^2 − 24b + 8 = ( 6b)^2 -2 * 6b *2 + ( 2 sqrt(2)) ^2 not a perfect square trinomial

16x^2 + 24x + 9 = ( 4x) ^2 + 2 * ( 4x) * 3 + 3^2 = perfect square trinomial

4a^2 − 10a + 25 = ( 2a) ^2 - 1 * 2a *5 + 5^2 not a perfect square trinomial

Answer:

The third answer listed:

$16x^2+24x+9$

Step-by-step explanation:

The trinomial:

$16x^2+24x+9$

can be factored out as follows:

$16x^2+24x+9\n(4x)^2+24x+3^2\n(4x)^2+12x+12x+3^2\n4x(4x+3)+3(4x+3)\n(4x+3)\,(4x+3)\n(4x+3)^2$

which as can be seen,is the perfect square of a binomial, so this trinomial is what is called a perfect square trinomial.

Need help in this question please show work along with answer

Answers

      (x² - y²)² + (2xy)² = (x² + y²)²
   (x² - y²)(x² - y²) + 2x²y² = (x² + y²)(x² + y²)
      x²(x² - y²) - y²(x² - y²) + 2x²y² = x²(x² + y²) + y²(x² + y²)
x²(x²) - x²(y²) - y²(x²) + y²(y²) + 2x²y² = x²(x²) + x²(y²) + y²(x²) + y²(y²)
      x⁴ - x²y² - x²y² + y⁴ + 2x²y² = x⁴ + x²y² + x²y² + y⁴
         x⁴ - 2x²y² + y⁴ + 2x²y² = x⁴ + 2x²y² + y⁴
   x⁴ - 2x²y² + 2x²y² + y⁴ = x⁴ + 2x²y² + y⁴
      x⁴ + y⁴ = x⁴ + 2x²y² + y⁴
      - x⁴    - x⁴
   y⁴ = 2x²y² + y⁴
       - y⁴ - y⁴
      0 = 2x²y²
      2    2
      0 = x²y²
      0 = xy

I didn't find the answer to the problem.

Witch expression has the same value as 2 to the power of 12

Answers

Answer:

4096

Step-by-step explanation:

2^12

=2x2x2x2x2x2x2x2x2x2x2x2=4096

Assign two variables for each problem, and write the equations. Solve.In five years, Kate will be twice as old as Joey. Right now, Kate is 11 years older than Joey. How old is Joey right now?

I need two variables and two equations. And please solve it.

Answers

lets make k equal to Kate's age and j equal to Joey's age. If in 5 years Kate will be twice as old as Joe, you can write the equation k+5=2(j+5) and then simplify it to make it easier to work with.
k+5=2(j+5)
k+5=2j+10
k+5-2j=10
k-2j=5
since we know that right know Kate is 11 years older than Joey, you can write the equation k+j=11. Since you know have two equations with with the same variable, you can make a system of equations as fallows:
k-2j=5
k+j=11

Since you need to figure out how old Joey is, you need to somehow get k to cancel out. The easiest thing to do for this problem is to is multiply the top equation by -1 to get:
-k+2j=-5 (you have to add the bottom equation to the top equation)
k+j=11 (-k+k=0, 2j+j=3j, and -5+11=6)
Since k got canceled out, you are left with the equation 3j=6 which means j=2.
Therefore, Joey's current age is 2.

I hope this helps.

I just got confused with angle AED which I need to find the value of?

Answers

Answer:

you should find the value of 112°

Angles in triangle add to 180
So 180-79-73 =28 and 180 -37-96=47
Angles around a point add to 360 so
112 + 28 + 47 = 187 then 360 - 187 = 173
So angle AED = 173 degrees

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