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amid [387]
2 years ago
12

One car alarm is set to go off every 10 seconds another car long is it to go every five seconds and a good car alarm is set to g

o off every four seconds if they all start to go off at the same time due to a loud clap of thunder how long will it take to all sound at the same time again
Mathematics
1 answer:
In-s [12.5K]2 years ago
4 0

Answer:

20 seconds

Step-by-step explanation:

Given the following :

Alarm 1 (goes off every 10 seconds)

Alarm 2 (goes off every 5 seconds)

Alarm 3 (goes off every 4 seconds)

If they all go off now, how long will it take all to go off at the same time again.

Obtain the multiples of the time in seconds in which each alarm goes off and select the lowest multiple common to all three;

Multiples of 10 : 10, 20, 30, 40, 50,...

Multiples of 5 : 5, 10, 15, 20, 25, 30, 35, 40,...

Multiples of 4 : 4, 8, 12, 16, 20, 24, 28, 32, 36,....

Hence, the lowest multiple common to all three alarm times is 20.

Hence, all three alarms will go off at the same time again after 20 seconds

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The table shows the values of a function f(x).
QveST [7]

Answer:

The average rate of change is =-4

Step-by-step explanation:

The average rate of change from x=a to x=b of f(x) is given by;

=\frac{f(b)-f(a)}{b-a}

We want to find the average rate of change of the function represented in the table  from x=-2 to x=2.

=\frac{f(2)-f(-2)}{2--2}

From the table f(-2)=25 and f(2)=9

The average rate of change from x=-2 to x=2 is

=\frac{9-25}{2--2}

=\frac{-16}{4}

=-4

3 0
3 years ago
Help PLEASESSS due in 20
kicyunya [14]
  1. 4 - 4 + 4 ÷ 4
  2. 4 ÷ 4 + 4 ÷ 4
  3. (4 + 4 + 4) ÷ 4
  4. √4 + √4 + 4 - 4
  5. √4 + 4 + 4 ÷ 4
  6. √4 + 4 + 4 - 4
  7. 4 + 4 - 4 ÷ 4
  8. 4 + 4 + 4 - 4
  9. 4 + 4 + 4 ÷ 4
  10. √4 + √4 + √4 + 4
  11. 44/(√4 + √4)
  12. √4 + √4 + 4 + 4
  13. 44/4 + 4
  14. 4 + 4 + 4 + √4
  15. 44/4 + 4
  16. 4 * 4 * 4 ÷ 4
  17. 4 * 4 + 4 ÷ 4
  18. 4 * 4 - √4 + 4
  19. 4! - 4 - 4 ÷ 4
  20. 4 * (4 + 4 ÷ 4)
  21. 4! - 4 + 4 ÷ 4
  22. 4 * 4 + 4 + √4
  23. 4! - √4 + 4/4
  24. 4 * (√4 + √4 + √4)
  25. 4! + √2 - 4 ÷ 4
  26. 4! + √4 + 4 - 4
  27. 4! + √4 + 4 ÷ 4
  28. 4! + 4 + 4 - 4
  29. 4! + 4 + 4 ÷ 4
  30. 4! + √4 + √4 + √4

Lol, that took a while, hope it helps!

7 0
3 years ago
Nick bought a video game for $55, which was 20% off the original price. what was the original price?
kifflom [539]
the \  original \  price :  x \\ \\ x\cdot 20\% = 55 \\ \\x\cdot \frac{20}{100}=55\\ \\\frac{1}{5}x=55 \ \ / \cdot  5\\ \\x=\$ \ 275  \\ \\ Answer : \   the \  original \ price \  it \ \$ \ \ 275 .
6 0
2 years ago
Read 2 more answers
13. Greg is going into business selling homemade blankets.
Orlov [11]

Answer:

all positive inegers

Step-by-step explanation:

8 0
3 years ago
What is the equation of the following line? Be sure to scroll down first to see
Rom4ik [11]
<h2>Answer:</h2>

-1/3x

<h2>Step-by-step explanation:</h2><h3>Known :</h3>
  • x1 = -3
  • x2 = 0
  • y1 = 1
  • y2 = 0

<h3>Asked :</h3>
  • Correct line equation

<h3>Solution :</h3>

We can find the straight line equation using this formula,

\frac{y-y1}{y2-y1} = \frac{x-x1}{x2-x1}

Insert all we know inside the formula,

\frac{y-1}{0-1} = \frac{x-(-3)}{0-(-3)}\\\frac{y-1}{-1} = \frac{x +3}{3}\\

Use cross multiplication,

3(y - 1) = -1(x + 3)\

3y - 3 = -x - 3

3y = -x - 3 + 3

3y = -x

y = -1/3x

<h3>Conclusion :</h3>

The correct equation is y = -1/3x

6 0
2 years ago
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