The table gives two options for online music clubs which is also given by the system of equations: y = 0.4x + 15 and y = 0.2x + 25

For what number of songs will the monthly charge be the same?

50 songs at $35

Step-by-step explanation:

x = 50, y = 35

Step-by-step explanation:

Solve this system of linear equations by using substitution.  Equate the two equations to one another, thus eliminating y:

0.4x + 15 = 0.2x + 25

subtract 0.2x from both sides, obtaining:  0.2x + 15 = 25, or, after combining the constants, 0.2x = 10.

Finally we divide both sides by 0.2, which results in x = 50.

Use the first equation to find y:  y = 0.4(50) + 15 = 20 + 15 = 35

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47