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snow_lady [41]
3 years ago
5

Two traffic lights turn red together at exactly 5:00 pm. One light is on a 36-second cycle from red back to red while the other

is on a 48-second cycle. At what time will they again turn red together? Give the exact time, including seconds
Mathematics
1 answer:
NARA [144]3 years ago
3 0

Answer:

5:02:24

Step-by-step explanation:

we need to find the LCM of 36 and 48.

multiples of 36: 36, 72, 108, 144

48: 48, 96, 144

the LCM is 144, so they will both be red in 144 seconds. 144 seconds is 2 minutes 24 seconds, so the time will be 5:02:24

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Read 2 more answers
Darcy harvest 8 3/4 acres of corn every 5/6 of an hour. How many acres per hour?
otez555 [7]

Answer:

The answer is 10\frac{1}{2}\ per\ hour.

Step-by-step explanation:

Given:

Darcy harvest 8 3/4 acres of corn every 5/6 of an hour.

Now, to find the acres per hour it takes to harvest.

Darcy harvest = 8\frac{3}{4}=\frac{35}{4}\ acres.

The time he took to harvest = \frac{5}{6}\ hour.

So, to get the acres per hour we put formula:

Distance = \frac{35}{4}\ acres.

Time=\frac{5}{6}\ hour.

Speed=\frac{distance}{time}

Speed=\frac{\frac{35}{4}}{\frac{5}{6}}

Speed=\frac{35}{4}\times \frac{6}{5}

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Speed=\frac{21}{2}

Speed=10\frac{1}{2}\ per\ hour.

Therefore, the answer is 10\frac{1}{2}\ per\ hour.

3 0
4 years ago
use the given conditions to write an equation for the line in point slope form passing through (-5,7) and (-8,6)
KengaRu [80]
Point slope form is
y-y1=m(x-x1)
where slope=m
and (x1,y1) is a given point

slope=(y2-y1)/(x2-x1)
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pick any point
(x,y)
(-5,7)

y-7=1/3(x+5) or
y-6=1/3(x+8)
5 0
3 years ago
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