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3 years ago

12

The united states air force has 19 women for every 81 man enlisted. If a squadron has 250 members approximately how many are men

?

1 answer:

V125BC [204]3 years ago

3 0

19 women + 81 men = 100 total

<u>x 2.5 </u> <u> x 2.5 </u> <u> x 2.5 </u>

47.5 women + 202.5 men = 250 total

Answer: 203 men (<em>rounded up from 202.5)</em>

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bixtya [17]

Answer: $\bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}$

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

(1) (12, 18, 27, ...)

The common ratio is:

$r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\ r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}$

$(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\ r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}$

3 0

3 years ago

Solve the equation 8y-6=5y+12

Bumek [7]

8y - 6 = 5y + 12
- 5y    - 5y
3y - 6 = 12
      + 6   + 6
   3y = 18
      3     3
   y = 6

5 0

3 years ago

A restaurant offered cooking classes on 24 of the 30 days in November. What decimal is equivalent to the fraction of days in Nov

zvonat [6]

Assuming they mean the fraction is 24/30 the answer is 0.8 (24÷30 is the equation to use)

3 0

3 years ago

The function f(x)=1/4x+6 is vertically translated by 12 units in the negative direction. What is the y-intercept of the new func

s2008m [1.1K]

Since the function f(x) is written in the form y = mx + b, where m is the slope and b is the y-intercept, it currently has a y-intercept of b = 6. If this function is shifted downwards (vertically) by 12 units, its new y-intercept will be:
$6 - 12 = -6$

6 0

4 years ago

I have one qt of solution diluted out 1:4 How much do I need to add to end up with a final product that’s a 1:10 solution?

LenaWriter [7]

Answer:

1.1352 L

Step-by-step explanation:

L = qt 1.0567

qt = 0.946 L

1:4 = 5

0.946/5 = 0.1892 L one part

0.1892 x 11 = 2.0812 11 parts as 1+10 =11

Answer therefore is subtracting 5 from 11 parts to get the final 6 parts added = 2.0812 - 0.946

= 1.1352 L

7 0

3 years ago