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Ugo [173]
3 years ago
15

One day I found a strange thing happening to my watch,the minute hand & the hour hand were coming together every 65 minutes.

I decided to get it checked. Was my watch gaining or losing time, and how much per hour?
Mathematics
1 answer:
brilliants [131]3 years ago
5 0

Answer:

Step-by-step explanation:

The minute hand of a clock overtakes the hour hand at intervalsof M minutes of correct time. The clock gains or loses in a day by=(720/11−M)(60×24/M) minutes.

Here M = 64. The clock gains or losses in a day by

=(720/11−M)(60×24/M)=(720/11−64)(60×24/64)

=16/11(60×3/8)=2/11(60×3)=360/11=32(8/11) minutes.

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WILL GIVE BEST RESPONSE
tino4ka555 [31]
We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1, 
</span>finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.
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4 0
3 years ago
A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3
Alisiya [41]

Answer:

468 ways

Step-by-step explanation:

Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts

To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.

Solution:

A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.

Number of appetizers = 5

Number of main courses = 4

Number of desserts = 8

Number of ways of choosing k terms from n terms = nPk=\frac{n!}{(n-k)!}

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts =  5P4+4P2+8P3

=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468

So, this can be done in 468 ways.

7 0
2 years ago
The area of a rectangle is 105 square centimeters. The width of the rectangle is 7 centimeters. What is the perimeter of the rec
Ulleksa [173]
44 because 105 ÷ 7 = 15.
So (7*2)+(15*2)=44
5 0
3 years ago
Read 2 more answers
6x 4y y 5 -2 3x 6 how can I solve this
WITCHER [35]

Answer:

Look below at the image I have provided for you <3

Step-by-step explanation:

I hope this helps!

5 0
2 years ago
Kate has 48 softballs. She wants to divide them evenly among b softball bags. Which expression represents how many softballs she
SOVA2 [1]

Answer:

Softballs = (48/b)

Step-by-step explanation:

Given that,

Total number of softballs = 48

She wants to divide them evenly among b softball bags.

We need to find an expression that represents how many softballs she should put into each bag.

As it is dividing among b softball, it means we divide 48 and b. So,

s=\dfrac{48}{b}

Hence, the required expression is (48/b).

5 0
3 years ago
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