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Ahat [919]
3 years ago
13

2024 and 40 children in a class the ratio of boys to girls are 4:7 how many are in the clas

Mathematics
1 answer:
andreev551 [17]3 years ago
4 0
There are 12 boys and 21 girls for a total of 33 students
I’m not sure if this is right!
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The 4th and 8th term of a G.P. are 24 and 8/27 respectively. find the 1st term and common ratio
beks73 [17]

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric progression is

• a_{n} = a₁ r^{n-1}

where a₁ is the first term and r the common ratio

given a₄ = 24, then

a₁r^{3} = 24 → (1)

Given a₈ = \frac{8}{27}, then

a₁r^{7} = \frac{8}{27} → (2)

Divide (2) by (1)

r^{4} = \frac{\frac{8}{27} }{24} = \frac{1}{81}

Hence r = \sqrt[4]{\frac{1}{81} } = \frac{1}{3}

Substitute this value into (1)

a₁ × (\frac{1}{3} )³ = 24

a₁ × \frac{1}{27} = 24, hence

a₁ = 24 × 27 = 648

4 0
3 years ago
Which shows the number 27 factored into prime numbers?   A. 2 · 3 · 3   B. 1 · 3 · 3 · 3   C. 3 · 3 · 3   D. 3 · 9
Vilka [71]

Hi!

<h3>To find the prime factorization of a number, keep dividing by the smallest factor that goes into it. </h3>

27/3 = 9

9/3 = 3

3/3 = 1

<u>3 · 3 · 3 = 27</u>

<h2>The answer is C. 3 · 3 · 3</h2>

Hope this helps! :)

-Peredhel

8 0
3 years ago
The difference between a number,x, and 4 is 9. find the number​
Elena-2011 [213]

let's set up an equation:

x-4=9

solve normally:

x=13

6 0
3 years ago
I need help can u draw a graph for me on paper or message me or ananythin​
soldier1979 [14.2K]

Step-by-step explanation:

hope this helps theirs 3 pictures

3 0
3 years ago
If the cubic function P(x) includes the points (−1, 0), (−2, 0), (3, 0), and (0, −12) which of the following represents this fun
zhannawk [14.2K]
I think the answer would be <span>2(x + 1)(x + 2)(x - 3).
Hope this helped! :) </span>
3 0
3 years ago
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