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notka56 [123]
2 years ago
8

Three neon lights are turned on at the same time. One blinks every 4 seconds, the second one blinks every 5 seconds, and the thi

rd blinks every 6 seconds. In 5 minutes, how many times will all three lights blink at the same time?
Mathematics
1 answer:
emmasim [6.3K]2 years ago
4 0

In order to find how many times they will blink at the same time we need to find the common multiple of 4 and 6 between 1 and 60.

The first bulb blinks after every 4 seconds, means it blinks in multiple of 4.

The multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60.

The second bulb blinks after every 6 seconds, means it blinks in multiple of 6.

The multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.

The common multiple of 4 and 6 = 12, 24, 36, 48, 60.

∴

in sixty seconds they will blink 5 times at the same time.

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P is a point on the x axis 13 units from the point (-3, 5). find all the possible coordinates for p.
SVEN [57.7K]

If P is a point in the x axis therefore this means that the y must be zero. Hence the coordinate of p is (x, 0).

We can use the distance formula to solve for the value of x:

d^2 = (x – x1)^2 + (y – y1)^2

13^2 = (x + 3)^2 + (0 – 5)^2

169 = (x + 3)^2 + 25

(x + 3)^2 = 144

x + 3 = ± 12

x = -15, 9

 

Hence P has two possible coordinates:

<span>(-15, 0) and (9, 0)</span>

8 0
3 years ago
2 • (3 • 7) and (2 • 3) • 7 = ?
shusha [124]

Answer:

First one is 42 and the second one is 48.

Step-by-step explanation:

Start with parentheses. I'll use the first one as an example. 3 x 7 is 21. Now that the parentheses are done, multiply it by whatever's left. 21 x 2, that's 42. For the other one, 2 x 3 is 6, x 7, is 48. Have a good day :)

8 0
3 years ago
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Gina has 21 more barrettes than Holly. The equation g = 21 + h, where g represents the number of barrettes Gina has, and h repre
kompoz [17]

Answer:

21

Step-by-step explanation:

42-21=21

8 0
3 years ago
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Need help pls thx..........
S_A_V [24]

Answer:

170 degree. is the answer

3 0
3 years ago
Which of these points lies on the line described by the equation below?
Pavlova-9 [17]

y – 5 = 6(x – 7)

y -5 = 6x - 42

y = 6x - 37


answer is B. (7, 5)


5 = 6(7) - 37

5 = 42 -37

5 = 5

3 0
3 years ago
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