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3 years ago

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U.S cities hire about 17,000 police officers per 10,000 residents for a 17/10,000 ratio a new police chief for a city of 35,000

residents wants to match that ratio. How many police officers are needed

1 answer:

mina [271]3 years ago

8 0

Answer: 59,500

Step-by-step explanation:

Given

For 10,000 residents, 17,000 police officers are hired

The ratio of Police officers and citizens is constant

So, for 35,000 citizens suppose x officers are hired

$\Rightarrow \dfrac{17,000}{10,000}=\dfrac{x}{35,000}\\\\\Rightarrow x=1.7\times 35,000\\\\\Rightarrow x=59,500$

Thus, 59,500 officers are required.

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Find the exterior angle of a triangle whose interior opposite angles are 43 degree and 27 degree

frez [133]

Answer:

$\huge\boxed{Exterior\ angle = 70\°}$

Step-by-step explanation:

The measure of exterior angle is equal to the sum of opposite interior angles.

So,

Exterior angle = 43+27

Exterior angle = 70°

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4 years ago

How many 3/4s are in 6

Pepsi [2]

Hey there!
Let's first find an easier situation.
If we're saying:
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We're doing 10 divided by 5, because we're seeing how many 5's go into 10.
It's no different here.
We will be doing 6 divided by 3/4, just as we did with our simpler situation.
Using our "keep, switch, flip" rule (keep first term, change to multiplication, take reciprocal of second term)
we get:
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Hope this helps!

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3 years ago

Find the area of a playing field whichs area is 15 meters

uranmaximum [27]

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3 years ago

Find the constant of proportionality and the unit rate for the data table. Then write an equaion to represent the relationship b

Akimi4 [234]

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3 years ago

Please Geniuses, look at the picture and answer me, RESCUE ME.

Taya2010 [7]

Answer:

1. $\{ \bold{ \sf{Expenditure \: on \: food = \:1200 dollars\: }}$

2. $\sf{a \: : \: c \: = 18 \: : \: 5}$

Step-by-step explanation:

1. $\sf{here \: total \: expenditure = 3000 \: dollars}$

$\sf{expenditure \: on \: food \: = \: \frac{3000}{360} \times 144}$

$\sf{expenditure \: on \: food{ = 1200 \: dollars}}$

Note : Whole circle represents the total expenditure.

i.e 360° represents $ 3000

1° represents $ $\sf{ \frac{3000}{360} }$

144 ° represents $ $\sf{ \frac{3000}{360} \times 144}$

-------------------------------------------------------------

2. $\sf{here \: a:b \: = 6:5 \: = \: \frac{6}{5} }$

$\sf{b : \: c \ \: = 18 \: : \: 6} \: = \: \frac{18}{6}$

$\sf{now \: a:b \times b:c = \frac{a}{b} \times \frac{b}{c} = \frac{a}{c} }$

⇒ $\sf{a:c = \frac{6}{5} \times \frac{18}{6} }$

⇒ $\sf{a:c = \frac{18}{5} }$

⇒ $\sf{a:c = 18:5}$

Hope I helped!

Best regards!!

3 0

3 years ago