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VMariaS [17]
3 years ago
14

Beth wrote a system of equations to determine when a referee will earn the same salary working the East Conference and West Conf

erence games. y = 40x − 25 and y = 35x − 5 (x = total games and y = amount earned) Beth determined that at 135 games, the referee would earn the same salary for each conference game. Is she correct?
Mathematics
1 answer:
notka56 [123]3 years ago
6 0

Answer:

She is incorrect

Step-by-step explanation:

Step 1: substitute

135 into x in both equations

Step 2: Solve the equations. Once you do this you will get y = 5375 for the first one and y = 4720 for the second one, therefore she is incorrect

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Which of the following graphs has a zero at (-5)?
guapka [62]
Graph B would be the correct answer
6 0
2 years ago
Evaluate 2A - 3B for A = 6 and B = -3.
Rasek [7]
2 (6) - 3 (-3)  , 12 - -9 , 12 + 9 , 21
6 0
3 years ago
Read 2 more answers
the figure at the right shows the dimensions of the garden in Marissa's back yard. What is the area of the garden?
vodka [1.7K]

The area of the garden is 74 square feet

<h3>How to determine the area of the garden?</h3>

The complete question is added as an attachment

From the attached figure, we have the following shapes and dimensions:

  • Rectangle: 10 by 5 feet
  • Trapezoid: Bases = 10 and 6; Height = 3

The rectangular area is

A1 = 10 * 5

Evaluate

A1 = 50

The area of the trapezoid is

A2 = 0.5 * Sum of parallel bases * height

This gives

A2 = 0.5 * (10 + 6) * 3

Evaluate

A2 = 24

The total area is

Total = A1 + A2

This gives

Total = 50 + 24

Evaluate

Total = 74

Hence, the area of the garden is 74 square feet

Read more about areas at:

brainly.com/question/24487155

#SPJ1

5 0
1 year ago
Assume a warehouse operates 24 hours a day. Truck arrivals follow Poisson distribution with a mean rate of 36 per day and servic
kirill [66]

The expected waiting time in system for typical truck is 2 hours.

Step-by-step explanation:

Data Given are as follows.

Truck arrival rate is given by,   α  = 36 / day

Truck operation departure rate is given,   β= 48 / day

A constructed queuing model is such that so that queue lengths and waiting time can be predicted.

In queuing theory, we have to achieve economic balance between number of customers arriving into system and that of leaving the system whether referring to people or things, in correlating such variables as how customers arrive, how service meets their requirements, average service time and extent of variations, and idle time.

This problem is solved by using concept of Single Channel Arrival with exponential service infinite populate model.

Waiting time in system is given by,

w_{s} = \frac{1}{\alpha - \beta  }

        where w_s is waiting time in system

                   \alpha is arrival rate described Poission distribution

                   \beta is service rate described by Exponential distribution

w_{s} = \frac{1}{\alpha - \beta  }

w_{s} = \frac{1}{48 - 36 }

w_{s} = \frac{1}{12 } day

w_{s} = \frac{1}{12 }  \times 24  hour        ...it is due to 1 day = 24 hours

w_{s} = 2 hours

Therefore, time required for waiting in system is 2 hours.

           

                   

5 0
3 years ago
Can someone please help me with this square root problem?
vovikov84 [41]

Answer:

Rational, Rational, Rational, Irrational, Irrational

Step-by-step explanation:

The first question:

  • -√49
  • -7

This number is rational

Second:

  • -70.8888....

This number is rational. It wouldn't be rational if the digits won't repeat.

Third:

  • 15.91

This number is rational

Fourth:

  • 17π

This is irrational. The digits of pi do not repeat, making it irrational.

Fifth:

  • -√14

Irrational. The square root of a non-perfect square is irrational.

<h3 />

-Chetan K

5 0
2 years ago
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