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amid [387]
3 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]3 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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Find the slope of the line between (1,5) and (3,9)
8_murik_8 [283]

Answer:


Step-by-step explanation: Use the two points that are given to you and substitute them into the slope formula to find the answer.

m=<u><em>y2-y1/x2-x1</em></u>

m=9-5/3-1

m=4/2

Simplify the answer.

m=4/2

m=2/1

Final answer is 2.

The slope is positive meaning it is ascending (going up).

<u><em>Hope this helps!</em></u>


8 0
3 years ago
Read 2 more answers
Question 2
BabaBlast [244]

Answer:

The equation of the required line is y = x + 5

Step-by-step explanation:

The equation of the given line is y = x - 2

The required line = A line parallel to the given line

The point through which the required line passes = (-3, 2)

The general form of the equation of a straight line, is y = m·x + c

Where;

m = The slope of the line

By comparison, the slope of the given line, m = 1

When two lines are parallel, their slope are equal

Therefore, the slope of the required line = m = 1

The equation of the required line in point and slope form is therefore;

y - 2 = x - (-3) = x + 3

∴y = x + 3 + 2 = x + 5

The equation of the required line is therefore;

y = x + 5.

6 0
3 years ago
Let f(x) = 2x – 3 and g(x) = 3x – 2. Find the value.
Sholpan [36]

Answer:

Ok:

Step-by-step explanation:

So f°g . means f(g(x)). (The ° should be more center and bigger but I don't know to do that on a keyboard). f(g(x)) means that you replace the x in f(x) with the g(x) function. i.e:

if f(x) = 2x+2

and g(x) = x^2

f(g(x)) = 2x^2+2.

Similarly, in this case, we get f(x) = 2x-3 and g(x) = 3x-2.

Then, f(g(x)) or f°g(x) is 2(3x-2) - 3.

And we plug in -2 to solve:

2(3(-2)-2)-3.

and get -19.

Check if I am wrong because everyone makes mistakes but that is the way to solve this.

7 0
3 years ago
12 1\2 percent is what amount of 76.80$
Natasha_Volkova [10]
$76.80 minus 12 1/2 is $64.30.
7 0
3 years ago
If the output number y is -52 (y=5x-2) what is the input number? SHOW WORK
nordsb [41]

Answer:

the input number is -10

Step-by-step explanation:

output is always y

input is always x

so instead of y, put -52

-52=5x-2  add 2 to each side to ger 5x by itself

-50=5x     divide both sides by 5 to get x by itself

-10=x

x is the input so the input is -10

8 0
3 years ago
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