Solve each of the following: a. 3 movie tickets cost $36. At this rate, what is the cost per ticket?
b. 3 ice cream cones cost $8.25. At this rate, how
much do 2 ice cream cones cost?
C-3 bananas cost $0.99. At this rate, how much do 5 bananas cost?
a. $
b. $

Step-by-step explanation:

A. 36÷3=12 $12 per ticket

B. 8.25÷3=2.75 $2.75 per ice-cream cone so do 2.75×2=5.50 $5.50 for 2 ice creams

C. 0.99÷3=0.33 $0.33 per banana so do 0.33×5=1.65

$1.65 for 5 bananas

HOPE THIS HELPS

1.0

step-by-step explanation:

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9