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Stels [109]
2 years ago
12

A palindromic number is a number that reads the same forwards as it does backwards (example: 282 or 51715). How many 5-digit pal

indromic numbers have digits that add up to 14?
Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
8 0

Palindromes are numbers whose reverse is the same as the original number

There are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

<h3>How to determine the count of 4-digit palindromes</h3>

The digit of the palindromic number is 5.

This means that:

  • The first digit of the palindrome can be any of 1 to 7 (because 7 is half of 14)
  • The second digit can be any of 0 - 6 (i.e. 7 digits)
  • The third digit can be any of 9 digits
  • The fourth digit must be the second digit (i.e. 1 digit)
  • The last digit must be the first digit (i.e. 1 digit)

So, the total number of digits is:

Total = 7 + 7 + 9 +  1 +1

Total = 25

Hence, there are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

Read more about palindromes at:

brainly.com/question/26527765

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A system of equations is given below:
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Solving by substitution:

y = 4x - 3 

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2x + 7y = 41

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Solve the system of equations by substitution.
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Answer:A

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2 years ago
A circle has a diameter of 20 inches and a central angle AOB that measures 160°. What is the length of the intercepted arc AB? U
juin [17]
Calculate the circumference of the full circle:

circumference = PI x diameter = 3.14 x 20 = 62.8 inches
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divide 160 by 360 (full circle) and multiply by the circumference:

160/360 x 62.8 = 27.9 inches

5 0
3 years ago
a plane averaged 400 mph on a trip going east, but only 280 mph on the return trip. The total flying time in both directions was
Liula [17]

Answer:

1400 miles

Step-by-step explanation:

Speed is the time rate of change of distance. It is the ratio of distance to time and is given by the equation:

Speed(S) = \frac{distance(d)}{time(t)}\\ S=\frac{d}{t}

plane averaged 400 mph on a trip going east, but only 280 mph on the return trip.

The time spent (t₁) in going east is given by:

S=\frac{d}{t_1}\\ t_1=\frac{d}{S} =\frac{d}{400mph}

The time spent (t₂) in going east is given by:

S=\frac{d}{t_2}\\ t_2=\frac{d}{S} =\frac{d}{280mph}

The total time (t) = t₁ + t₂

t = t₁ + t₂ = 8.5 hours

\frac{d}{400}+\frac{d}{280}  =8.5\\280d+400d=952000\\680d=952000\\d=1400miles\\

Therefore the one way distance is 1400 miles

7 0
3 years ago
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