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q + d = 36

25q + 10d = 420

q = 36 - d

25 (36 - d) + 10d = 420

900 - 25d + 10d = 420

900 - 15d = 420

15d = 480

    d = 32

q + d = 36

q + (32) = 36

q = 4

There are 4 quarters and 32 dimes

Since they're similar, we can take the similar side that has actual values to find the ratio between the triangles.

7 : 3.5 = 2 : 1

This means:
2y = x + 4

2x = 3y

x - 2y = -4

2x - 3y = 0

2x - 4y = -8

2x - 3y = 0

----------------

y = 8

x - 2y = -4

x - 2(8) = -4

x = 12

5cm is the radius. This means the circumference is 2 * 5π = 10π

6.28 is about 2π. This means the sector angle is 2π/10π * 360 = 72^o

Area of the sector = 5²π / 5

                              = 25π / 5

                              = 5π

                              ≈ 15.7cm², which is your answer :)

A = 2 + 2B
C = 2B - 7

180 = 2 + 2B + B + 2B - 7

180 = 5B - 5

185 = 5B 

  37 = B 

A = 2 + 2B 

   = 2 + 2(37)

   = 76

C = 2B - 7

    = 2(37) - 7

    = 67

∡A = 76^o , ∡B = 37^o , and ∡C = 67^o

Hope this helps :)

9/11 are bored. 

122 aren't bored. 

This means 122 = 2/11

122 ÷ 2 = 61

61 * 11 = 671, which is the number of people at the convention

671 * 9/11 = 549, which is your answer :)

AB = √(10² + 9²) ≈ 13.45

(2y + 1)(4y¹⁰ + 2y⁹ + 4y⁸ + 2y⁷ + 2y⁶ + 4y⁵)

= 8y¹¹ + 4y¹⁰ + 4y¹⁰ + 8y⁹ + 2y⁹ + 4y⁸ + 4y⁸ + 4y⁷ + 2y⁷ + 8y⁶ + 2y⁶ + 4y⁵

= 8y¹¹ + 8y¹⁰ + 10y⁹ + 8y⁸ + 6y⁷ + 10y⁶ + 4y⁵

I'm assuming you made a typo and the numbers are supposed to be fractions.

The first sentence says she has 1/19 of the pizza left. Then she ate 1/57 of that. 

This means she ate 1/19 * 1/57 of the entire pizza, giving you the answer of 1/1083 of the pizza :)

It's false... if a line has a slope of 0, this means it's a horizontal line. It will intersect with another line..