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marishachu [46]
3 years ago
5

a light flashes every 2 minutes, a second light flashes every 3.5 minutes and a third light flashes every 4 minutes. if all thre

e lights flash together at 8 p.m what us the next time of the day they will all flash together
Mathematics
1 answer:
scoray [572]3 years ago
4 0
Take the LCM of the three numbers. Since 2 is a multiple of 4, you can ignore the two and just take the LCM of 4 and 3.5. Since 3.5 is a decimal, the LCM is just 3.5*4 which is 14. That is how many minutes after 8:00 they will flash together again.<span />
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What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...
DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0
3 years ago
How many solutions does the following equation have?<br> -7x-10-15x=-22x+83
Vlada [557]

Answer:

-22x-10=-22x+83

=-22x-10=-22x+83

=-10=83

x€⊙

4 0
3 years ago
Please explain how I find the surface area and the answer please
docker41 [41]
You can take it apart. There are a top and bottom (both the same) right triangle. So you can find the area of that by multiplying 8*6 and divide by two. Then multiply by two because there are 2 triangles.
You are left with three rectangular sides: One 10x10, one 10x6, and one 10x8.
So your whole equation looks like this: A = 2[(8*6)/2]+(10*10)+(10*6)+(10*8)
5 0
3 years ago
Sheila buys two concert tickets from her friend she pays $90 for the two tickets she looks at the tickets and sees that each tic
Maru [420]

Cost of two tickets that Sheila paid to her friend = $ 90

Actual price of 1 ticket = $ 52.50

So, actual price of 2 tickets = 52.50\times2=105

Hence, markdown or discount Sheila's friend gave her is =

105-90=15

The answer is $15.


8 0
2 years ago
Read 2 more answers
SHOW YOUR WORK (24 points) Asap
vekshin1

Answer:

3. 17x + 5 = 90° ( alternate exterior angles are equal)

=> 17x + = 90 – 5

=> 17x = 85

=> x = 85/17

=> x = 5

4. 63° + c + 110° + 75° + 50° = 360 °

=> c + 298° = 360°

=> c = 360° – 298°

=> c = 62 °

3 0
3 years ago
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