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GuDViN [60]
3 years ago
6

A signalized intersection has a cycle length of 70 seconds. For one traffic movement, the displayed all-red time is set to 2 sec

onds while the displayed yellow time is 5 seconds. The effective red time is 37 seconds and the total lost time per cycle for the movement is 4 seconds. What is the displayed green time for the traffic movement
Mathematics
1 answer:
Marina CMI [18]3 years ago
7 0

Answer:

the displayed green time for the traffic movement is 30 seconds

Step-by-step explanation:

Given the data in the question;

Cycle length; C = 70 seconds

Displayed all-red time; AR = 2 seconds

Displayed yellow time; Y = 5 seconds

Effective red time; r = 37 seconds

total lost time per cycle; t_L = 4 seconds

the displayed green time for the traffic movement; G = ?

First we determine the Effective green time ( g );

Effective red time; r = Cycle length; C - Effective green time ( g )

so,

Effective green time ( g ) = C - r

we substitute

Effective green time ( g ) = 70 seconds - 37 seconds

Effective green time ( g ) = 33 seconds

Now,

Effective green time ( g ) = displayed green time; G + Displayed yellow time; Y + Displayed all-red time; AR - total lost time per cycle; t_L

i.e

g = G + Y + AR - t_L

we substitute

33 = G + 5 + 2 - 4

33 = G + 3

G = 33 - 3

G = 30 seconds

Therefore, the displayed green time for the traffic movement is 30 seconds

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What is the mean of 73, 77, 85, 84, 35, 115
Aleonysh [2.5K]

Answer:

mean is 78.5, or 79 when estimated.

Step-by-step explanation:

4 0
4 years ago
Jamal is making two paintings using canvases that are similar rectangles. The length of the smaller canvas is 3 ft and the width
Alex787 [66]
Let's start with what we know:

Smaller canvas:
Length (L_{1}) = 3ft
Width (W_{1}) = 5ft

Larger canvas:
Length (L_{2}) = ?
Width (W_{2}) = 10ft

Since these are similar rectangles, we can cross-multiply to calculate the missing length. Here's that formula:

\frac{ L_{1} }{ L_{2} } =  \frac{ W_{1} }{ W_{2} }
So let's plug it all in from above:

\frac{ 3 }{ L_{2} } = \frac{ 5 }{ 10 }
Now we cross multiply by multiplying the top-left by the bottom-right and vice versa:

(3)(10) = (5)(L_{2})
30 = 5L_{2}
Now divide each side by 5 to isolate L_{2}

\frac{30}{5} =  \frac{ 5L_{2}}{5}
The 5s on the right cancel out, leaving us with:

6 =  L_{2}

So the length of the larger canvas is 6 ft
4 0
4 years ago
Read 2 more answers
6th grade math help me pleaseeee
spayn [35]
The answer is D , start from 2 and count to 8 and it gives you your answer
4 0
3 years ago
Read 2 more answers
Jake, Andy, and Damon caught 78 pounds of large mouth bass. Jake caught 22 pounds. Andy caught at least 30 pounds, but no greate
AlexFokin [52]
Hello!

To total amount is 78

Jake caught 22 so

78 - 22 = 56

So Andy and Damon caught 56 between the two of them

Andy caught at least 30

56 - 30 = 26

Damon caught at most 26

And caught at most 36

56 - 36 = 20

Damon caught at least 20

The answer is 20\leq x \leq 26

The answer is A

Hope this helps!
3 0
3 years ago
Just answer as quick as possible thank u
ziro4ka [17]
ANSWER

D. (-2,5)


EXPLANATION

The given equations are

8x + 5y = 9...(1)

and

y = x + 7...(2)


We substitute equation (2) into equation (1) to get,

8x + 5(x + 7) = 9


We expand the bracket to get,


8x + 5x + 35 = 9

Grouping similar terms, we obtain,


8x + 5x = 9 - 35

Simplify to get,
13x =  - 26

Divide both sides by 13 to obtain,


x =  -  \frac{26}{13}


x =  - 2



This implies that,


y =  - 2 + 7

y = 5

The solution is (-2,5)
8 0
3 years ago
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