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frosja888 [35]
3 years ago
8

If one inch represents 65 on a map, then how many inches will represent 2,300 miles?

Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0
Use a ratio using consistent units. Let x = the unknown

1 inch/65 miles = x inches/2300 miles

then, x = 2300/65 = 35.38 inches
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(Write your answers on the space provided) The World Health Organization (WHO) reported that about 16 million adolescent girls b
navik [9.2K]

The sequence of the number of girl attendees at each Barangay is nonzero, given by multiplying the number of attendees in the previous Barangay by 2

The required values are;

a. The completed table is presented as follows;

\underline{\begin{array}{|l|c|c|c|c|c|c|c|}\mathbf{Barangay}&1&2&3&4&5&6&7\\\mathbf{Number \ of \ attandees}&4&8&16&32&64&128&256\end{array}}

b. The sequence of the number of girls attendees aₙ = <u>4×2⁽ⁿ⁻¹⁾</u>

c. The sum of beneficiaries of the lecture from the twelve Barangay is <u>16,384 girls</u>

Reason:

Known parameters are;

Number of girls that attended the lecture at Barangay 1 = 4 girls

Number of girls that attended from Barangay 2 = 8 girls

Number that attended from Barangay 3 = 16 girls

a. The required table with the assumption that the number of girls that attended at each Barangay from Barangay 1 to Barangay 7 doubles, is presented as follows;

  • \begin{array}{|l|c|c|c|c|c|c|c|}Barangay&1&2&3&4&5&6&7\\Number \ of \ attandees&4&8&16&32&64&128&256\end{array}

b. The sequence of the number of girls who attended the lecture from Barangay 1 to Barangay 7 is presented as follows;

The sequence is a geometric progression having the form, aₙ = a·r⁽ⁿ⁻¹⁾

The first term of the sequence, a = 4

The common ratio, r = 2 (each term is twice the previous term)

n = The number of terms

The sequence is therefore;

  • <u>aₙ = 4·2⁽ⁿ ⁻ ¹⁾</u>

c. The total number of girls in the geometric progression, (G. P.) is given by the sum of a G. P. as follows

S_n = \dfrac{a \cdot (r^n - 1 )}{r - 1}

Where;

n = The number of terms = 7 + 5 = 12

Which gives;

  • S_{12} = \dfrac{4 \times (2^{12} - 1 )}{2 - 1} = \dfrac{4 \times 4,096 }{1} = 16,384

The total number of girls who will benefit from the lectures, S₁₂ = <u>16,384 girls</u>

Learn more about geometric progression here:

brainly.com/question/14256037

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