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Phoenix [80]
3 years ago
9

In a lighting, green light glows after every 12 seconds, red light glows after every 30 seconds, blue light glows after every 34

seconds and yellow light glows after every 56 seconds. Find the least time in minutes after which they all glow together.​
Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

238 minutes

Step-by-step explanation:

We are told:

In a lighting, green light glows after every 12 seconds, red light glows after every 30 seconds, blue light glows after every 34 seconds and yellow light glows after every 56 seconds.

We solve this question by using LCM Method

We find the Least Common Multiple of 12, 30, 36 and 56

= 14,280 seconds.

Hence, the least time in seconds after which they glow together is 14,280 seconds.

To find the least time in minutes after which they all glow together.​

We convert from seconds to minutes

60 seconds = 1 minute

14280 seconds = x

Cross Multiply

60 × x = 14280 × 1

x = 14280/60

x = 238 minutes

The least time in minutes after which they all glow together.​

238 minutes

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3 yards of fabric will remain
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3 years ago
Find the slope given the points (-5,-3) and (2,4)
Setler79 [48]

Answer:

The slope of the line is 1.

Step-by-step explanation:

We are given two coordinate points:

  • (-5, -3)
  • (2, 4)

We can use the rate of change formula to find the slope of the points.

  • \displaystyle \frac{\triangle y}{\triangle x}

In mathematics, coordinate pairs are labeled as:

(x_1, y_1) \ \text{and} \ (x_2, y_2)

Therefore, we can relabel our points:

  • x_1 = -5
  • y_1 = -3
  • x_2 = 2
  • y_2 = 4

After we do this, we can expand the rate of change formula:

\displaystyle m = \frac{y_2-y_1}{x_2-x_1}

Now, we can use simple substitution to solve for m, or the slope.

\displaystyle m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{2-(-5)}\\\\m = \frac{7}{7}\\\\m = 1

Therefore, the slope of the line is 1.

8 0
3 years ago
Read 2 more answers
This is really confusing... making my head hurt. I don't understand it AT ALL. If I get this one wrong, and all the other three
Wewaii [24]
Number 7 is a because line m crosses at 2 on the y axis and number 8 is a because it goes up by one half each time
3 0
3 years ago
I need help with this question!!
Mashcka [7]

Answer:

QR = 5.

Step-by-step explanation:

Because the parallelograms are similar then the corresponding sides are in the same ratio.

So AB / PQ = BC / QR

9/3 = 15 / QR

15 / QR = 3

QR = 15/3

= 5.  (answer)

7 0
3 years ago
what is the equation, in point-slope form, of the line that is perpendicular and passes through the point (−4, 3)?
inn [45]
A perpendicular line has a slope of infinity. Therefore it is not possible to write the equation in point-slope form.
The equation is x = -4.
8 0
3 years ago
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