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2 years ago

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A clock was showing the time accurately on Wednesday at 4pm. On the following Saturday, at 2pm, the clock was running late by 35

seconds. On average, how many seconds did the clock skip every 30 minutes?

1 answer:

Semmy [17]2 years ago

7 0

Answer: The clock skip 0.25 seconds every 30 minutes.

Step-by-step explanation:

Since we have given that

Clock was correct on Wednesday at 4 pm.

At 2 pm , on saturday, the clock was running late by 35 seconds.

From 4 pm wednesday to 4 pm thursday = 24 hours

From 4 pm thursday to 4 pm friday = 24 hours

From 4 pm friday to 2 pm saturday = 22 hours

So, total hours = 24+24+22 = 70 hours

We need to find the number of seconds that the clock skip every 30 minutes.

So, it becomes

$\dfrac{70}{0.5}=\dfrac{35}{T}\\\\70T=35\times 0.5\\\\T=\dfrac{35\times 0.5}{70}\\\\T=0.25$

Hence, the clock skip 0.25 seconds every 30 minutes.

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Pepsi [2]

Answer:

Step-by-step explanation:

Two lines are perpendicular if the first line has a slope of $m$ and the second line has a slope of $\frac{1}{-m}$ .

With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:

$5x - 2y = -6$

$-2y = -5x - 6$

$y = \frac{5}{2}x + 3$

We now know that $m = \frac{5}{2}$ for the first line, which means that the slope of the second line is $m = \frac{-2}{5}$ . With this, we have the following equation for our new line:

$y = \frac{-2}{5}x + C$

where $C$ is the Y-intercept that we now need to determine with the coordinates given in the problem statement, $(5, -4)$ :

$y = \frac{-2}{5}x + C$

$(-4) = \frac{-2}{5}(5) + C$

$-4 = -2 + C$

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Finally, we can create our line:

$y = \frac{-2}{5}x - 2$

$5y = -2x - 10$

$2x + 5y = -10$

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Step-by-step explanation:

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Step-by-step explanation:

Given:

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