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givi [52]
3 years ago
12

A large grandfather clock strikes its bell once at 1:00, twice at 2:00, three times at 3:00, etcetera. what is the total number

of times the bell will be struck in a day? use an arithmetic series to help solve the problem and show how you arrived at your answer.
Mathematics
2 answers:
erastovalidia [21]3 years ago
8 0
There is a formula for adding consecutive integers.
sum = (n * (n+1)) / 2
for summing 1 through 12 it is
sum = (12 * 13) / 2 = 156/2 = 78
The clock goes through two "12-hour cycles" in a day, so the answer is 2 * 78 or 156 times.


uranmaximum [27]3 years ago
7 0

Answer:

<h2>300 times per day.</h2>

Step-by-step explanation:

Basically, to solve this problem we just have to sum:

1+2+3+...+24

But, using an arithmetic series, we have to use this formula:

Sum=n(\frac{a_{1}+a_{n} }{2})

Where, n is the total number of elements (in this case is 24), a_{1} is the first element (1) and a_{n} is the last element (24), because a day has 24 hours.

So, replacing all variables, we have:

Sum=24(\frac{1+24}{2})\\Sum=24\frac{25}{2}=300

Therefore, the bell will be struck 300 times per day.

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Marizza181 [45]

Answer:

Point C.

Step-by-step explanation:

When the x-value is negative, the point is moving left. In this case, the point is moving left 1.

When the y-value is positive, the point is moving up. In this case, the point is moving up 3.

Only Point C fits the description.

4 0
3 years ago
Consider the following system of equations. StartLayout Enlarged left-brace 1st row negative 10 x squared minus 10 y squared = n
ziro4ka [17]

These 2 equations has no solution and the equations are independent of each other.

<u>Step-by-step explanation:</u>

-10x² -10y² = -300 ----a

5x² + 5y² = 150 ---- b

While trying to solve this,

We can multiply the eq. b by 2 so we will get eq. c and then add to eq. a we will get 0 as the solution.

10x² + 10y² = 300 ----c

-10x² -10y² = -300 ---a

Everything cutoff, we will get 0, and there is no solution to these equations.

4 0
3 years ago
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Step-by-step explanation:

x³ = 4³ = 4 * 4 * 4 = 64

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3 years ago
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Colt1911 [192]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
What is the solution to:<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B8%7D%20%20%3D%20%20%5Cfrac%7Bm%7D%7B12%7D%20"
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Answer:

\boxed{m=7.5}

Step-by-step explanation:

<em>Hey there!</em>

Cross multiply the given info

60 = 8m

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<em>Hope this helps :)</em>

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