Yumi spent $34.15 buying stamps. The number of 56-cent stamps she bought was 10 less than 4 times the number of 41-cent stamps. How many of each did she buy?

Step-by-step explanation:

Let x represent the number of 41-cent stamps Yumi bought. Then the number of 56-cent stamps she bought was 4x-10. Her total purchase was ...

  0.41x +0.56(4x -10) = 34.15

  2.65x -5.60 = 34.15 . . . . . . . eliminate parentheses, collect terms

  2.65x = 39.75 . . . . . . . . . . . . add 5.60

  x = 15 . . . . . . . . . . . . . . divide by 2.65

  4x-10 = 50

Yumi bought 15 41-cent stamps and 50 56-cent stamps.

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

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step-by-step explanation: