Mindy, a local artist, sells a piece of art at the pizza shop for $15, and the shop takes 15 percent commission. Instead of rece

a ballroom features a square dance floor, which has an area of 400 square feet.

The formula for the area of a square is the side squared. Hence, we can determine the side length. Taking the square root of both sides, upon increasing the side length by one foot, we arrive at a side length of 21 feet, which is not a perfect square. The area of 441 is indeed a perfect square and a rational number. Consequently, the true statements are A and E.

Answer:

Step-by-step explanation:

Details:

→ For Purple People Eater, 3 pints of red paint were used for every 5 pints of blue paint.

Thus, The red to blue paint ratio is 3:5

→ For Purple Majesty, the ratio of blue paint to red paint is 7 to 4.

This means The ratio of red paint to blue paint is 4:7

To determine:

1) Compare the ratios of red to blue paint.

2) The fraction form of the Purple People Eater ratio is:

3) The fraction form for Purple Majesty is:

4) To compare these fractions, create a common denominator.

For a common denominator,

Multiply the numerator and denominator by 4 in

Multiply the numerator and denominator by 5 in

The common denominator is 20.

Answer:

Step-by-step explanation:

                    1

                1      1

            1      2      1

         1     3      3      1

      1    4     6       4       1

   1   5    10     10       5     1

 1    6   15   20      15    6     1

1    6   15   20      15    6     1

We employ these for the expansion of (5x² + 2y³)⁶

1(5x²)⁶(2y³)⁰ + 6(5x²)⁵(2y³)¹ + 15(5x²)⁴(2y³)² + 20(5x²)³(2y³)³+  15(5x²)²(2y³)⁴+ 6(5x²)¹(2y³)⁵ + 1(5x²)⁰(2y³)⁶

78125ₓ¹²+187500ₓ¹⁰ y³ +37500ₓ⁸y⁶+20000ₓ⁶y⁹+6000x⁴y¹²+960x²y¹⁵+2y¹⁸

a.)a = 6, b = 9. the coefficient of xᵃyᵇ ( 20000ₓ⁶y⁹) = 20000

b) a = 2, b = 15. the coefficient of xᵃyᵇ ( 960x²y¹⁵) = 960

c) a = 3, b = 12. the coefficient of xᵃyᵇ is not present

d) a = 12, b = 0 the coefficient of xᵃyᵇ ( 78125ₓ¹²)  = 78125

e) a = 8, b = 9. the coefficient of xᵃyᵇ is not present