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pashok25 [27]
3 years ago
9

A restaurant has fixed costs of $147.50 per day and an average unit cost of $5.75 for each meal served. If a typical meal costs

$7, how many customers must eat at the restaurant each day for the owner to break even?
Mathematics
1 answer:
Nikolay [14]3 years ago
5 0

Answer:

The answer is 118.

Step-by-step explanation:

First we need to subtract the meal cost from average unit cost for each meal:

7-5.75=1.25

A restaurant profits 1.25$ for each meal. If we divide fixed cost to profit for each meal:

147.5/1.25=118

The restaurant have to sell 118 meals at least each day for the owner to break even

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3 years ago
In triangle KLM, if K is congruent to L, KL = 9x - 40, LM = 7x - 37, & KM = 3x + 23, find x & the measure of each angle.
Dennis_Churaev [7]

Answer: x = 15, ∠K = 45.7°, ∠L = 45.7°, ∠M = 88.6°

<u>Step-by-step explanation:</u>

Since ∠K ≅ ∠L, then ΔKLM is an isoceles triangle with base KL

 KM ≅ LM

3x + 23 = 7x - 37

       23 = 4x - 37

       60 = 4x

        15 = x

KM = LM = 3x + 23

               = 3(15) + 23

               = 45 + 23

               = 68

KL = 9x - 40

    = 9(15) - 40

    = 135 - 40

    = 95

Next, draw a perpendicular bisector KN from K to KL. Thus, N is the midpoint of KL and ΔMNL is a right triangle.

  • Since N is the midpoint of KL and KL = 95, then NL = 47.5
  • Since ∠N is 90°, then NL is adjacent to ∠l and ML is the hypotenuse

Use trig to solve for ∠L (which equals ∠K):

cos ∠L = \frac{adjacent}{hypotenuse}

cos ∠L = \frac{47.5}{68}

      ∠L = cos⁻¹ (\frac{47.5}{68})

      ∠L = 45.7  

Triangle sum Theorem:

∠K + ∠L + ∠M = 180°    

45.7 + 45.7 + ∠M = 180

       91.4     + ∠M = 180

                      ∠M = 88.6

       

7 0
3 years ago
(5-5)^2 - (6-5)^3 simplify the expression PLEASE HELP
leonid [27]

Answer: 15

Step-by-step explanation:

(5-1)^2 - (6-5)^3

(4)^2 - (1)^3

16-1

=15

7 0
3 years ago
Read 2 more answers
What is the slope of the line determined by the points (5,-3) and (-9,-6)
Serggg [28]

Answer:

slope = \frac{3}{14}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (- 9, - 6)

m = \frac{-6+3}{-9-5} = \frac{-3}{-14} = \frac{3}{14}

6 0
3 years ago
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