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3 years ago

Write the equation in slope-intercept form. 2/3(6y+9)=3/5(15x-20)

1 answer:

5 0

$\frac{2}{3}(6y+9)=\frac{3}{5}(15x-20)\ \ \ | multiply\ by\ 15\\\\
10(6y+9)=9(15x-20)\\\\
60y+90=135x-180\ \ \ | subtract\ 90\\\\
60y=135x-270\ \ \ | divide\ by\ 60\\\\
Slope\ intercept\ form:\ y=2.25x-4.5$

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Step-by-step explanation:

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Read 2 more answers

A new pop-up restaurant serving high-end street tacos just opened and is expected to have high demand based on the chef's prior

Harman [31]

Answer:

1. c

2. f

3. d

Step-by-step explanation:

This type of queuing model is an example of "single-channel, single-phase" process.

However, from the information given:

The inter-arrival rate = 10 customers per hour

Arrival time = 6 minutes

Service time = 5 minutes

∴

utilization = service time/arrival time

= 5/6

Time on queue $T_q = p \times \dfrac{utilization }{1 - utilization} \times \dfrac{Cv_a^2 -Cv_b^2}{2}$

$T_q = 5 \times \dfrac{5/6 }{1 -5/6} \times \dfrac{(2.58^2 -0.75^2)}{2}$

$T_q = 25 \times 3.60945$

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Thus, customer waiting in the queue line is;

$= \dfrac{T_q}{q} \\ \\ = \dfrac{90}{6} \\ \\ \mathbf{=15}$

Thus, new customers will have to wait in a total time of;

= waiting time + service time

= 90 + 5

= 95 minutes.

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3 years ago