Arestaurant earns $1073 on friday and $1108 on saturday. write and solve an equation to find the amount xx (in dollars) the restaurant needs to earn on sunday to average $1000 per day over the three-day period. write your equation so that the units on each side of the equation are dollars per day.

answer:

company a charges $3 per hour and an addtional $75 as serivce charges

y = 3x + 75

company b charges $2 per hour and an additional $85 as serivce charges

y = 2x + 85

3x + 75 = 2x + 85

x + 75 = 85

x = 10

y = 3*10 + 75 = 2*10 + 85

y = 30 + 75 = 20 + 85

y = 105 = 105

the charge for 10 h is in both companies with $105 the same.

answer:

a: b = 6: 10 = 3: 5 = 21: 35

b: c = 21: 33 = 7: 11 = 35: 55

a: b: c = 21: 35: 55

answer:

  b = (5/3)√13

step-by-step explanation:

the cosine of ∠a is ac/ab = 5/13.

the cosine of half of ∠a is given by the half-angle formula

    cos(a/2) = √((1 +cos(a))/2) = √((1 + 5/13)/2) = √(9/13) = 3/√13

the length of the segment b is found from

  cos(a/2) = 5/b . . . adjacent side/hypotenuse

  b = 5/cos(a/2) = 5/(3/√13)

  b = (5/3)√13