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Novosadov [1.4K]
3 years ago
10

Stoplight a changes color every 30 seconds and stoplight b changes every 40 seconds. after how many seconds will the stoplights

change colors at the same time again?
Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0

Answer:

After 120 seconds

Step-by-step explanation:

Here, we want to know the number of seconds after which both spotlights will change colors at the same time again.

Basically, what we want to do here is to

calculate the value with which 30 and 40 have the same multiples or we want to

calculate the lowest common multiple of 30 and 40

The multiples of 30 are 30,60,90,120 etc

The multiples of 40 are 40,80,120 etc

We can see that the lowest common multiple of both is 120

So therefore the spotlights will change colors at the same time after 120 seconds

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Bicycle started writing at 8 AM the diagram below shows the distance the bicycle had traveled at different times what was the bi
damaskus [11]
56 hours per hour thats the answer I got
7 0
3 years ago
Are theses 3 answers right?
sweet [91]
Yes they are correct.

At least I'm pretty sure they are:)
6 0
3 years ago
Andre and Morgan are both headed to Florida for vacation. Andre will drive 70 miles per hour. Morgan will drive 55 miles per hou
babymother [125]

Answer:

The number of hours Moran wold have driven before Andre catches up with him is 14 hours

Step-by-step explanation:

The given information are;

The speed with which Andre will drive = 70 miles per hour

The speed with which Morgan will drive = 55 miles per hour

The time of departure of Morgan = 3 hours before Andre departs

Let the time at which Andre catches up with Morgan be, t

We have, from the definition of distance traveled;

Distance traveled =Speed × Time

The distance Morgan would have driven in t hours = 55 × t

Given that to catch up with Morgan, Andre has to travel the same distance, and that Andre starts 3 hours late, we have;

The distance Andre would  drive when Morgan has driven for t hours = 70 × (t - 3)

Therefore, since the distance at the point they meet is the same distance for them both, we have;

55 × t = 70 × (t - 3)

55 × t = 70 × t - 210

210 = 70 × t - 55 × t  = 15 × t

t = 210/15 = 14 hours

Therefore, Morgan would have driven for 14 hours before Andre catches uo with him.

4 0
3 years ago
Two sides of an acute triangle meaure 5 inches and 8 inches. The length of the longest side is unknown. What is the greatest pos
gladu [14]

The greatest whole possible whole number length of the unknown side is 9 inches.

<h3>How to identify if a triangle is acute?</h3>

Let us have:

H = biggest side of the triangle

And let we get  A and B as rest of the two sides.

Then we get:

If

A^2 + B^2 < C^2

then the triangle is acute

Two sides of an acute triangle measure as 5 inches and 8 inches

The length of the longest side is unknown.

We have to find the length of the unknown side

WE know that the longest side of any triangle is a hypotenuse

For an acute triangle we know:

A^2 + B^2 < C^2

Here in this sum,

a = 5 inches

b = 8 inches

c = ?

Substituting we get,

A^2 + B^2 < C^2\\\\5^2 + 8^2 < C^2\\\\25 + 64= C^2

c < 9

Hence, The greatest whole possible whole number length of the unknown side is 9 inches.

Learn more about angles;

brainly.com/question/14489478

#SPJ1

3 0
2 years ago
NEED ANSWERED ASAP!!!!
ehidna [41]

Answer:

The answer is A

Step-by-step explanation:

f(x) = x+2

g(x) = x²

g(fx) = (x+2)²

= x²+4x+4

g(fx)(-5) = (-5)²+4(-5)+4

= 25 - 20 + 4

= 9

7 0
3 years ago
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