Acertain amusement park sells half-day passes and all-day passes. the amusement park charges $40 for a half-day pass and $80 for an all-day pass. the amusement park sold a total of 70 passes one day for $4,600. how many all-day passes did the amusement park sell?

45 all-day passes

Step-by-step explanation:

Let x be the number of half-day passes. Let y be the number of all-day passes.

x+y=70

40x+80y=4600

40(70-y)+80y=4600

y= 45 all-day passes

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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