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3 years ago

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About 1,400,000 people live in a city. The city has a land area of 320 square miles. What is the city's population density (peop

le per square mile)?

1 answer:

Evgen [1.6K]3 years ago

7 0

Answer:

the population ia 4,375 people per square mile

Step-by-step explanation:

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Polly buys 14 cupcakes for a party. The bakery puts them into boxes that hold 4 cupcakes each.

Temka [501]

Answer:

Part a) The number of boxes needed will be 4

part b) The fraction of the box that is empty is $\frac{1}{2}$

Part c) Are needed 2 cupcakes to fill the last box

Step-by-step explanation:

Part a) How many boxes will be needed for Polly to bring all the cupcakes to the party?

To find out the number of boxes needed, divide the total number of cupcakes by 4 (maximum number of cupcakes that fit in each box).

so

$\frac{14}{4}=3.5\ box$

Round up

The number of boxes needed will be 4

Part b) If the bakery completely fills as many boxes as possible, what fraction of the last box is empty?

we know that

The maximum number of cupcakes per box is 4

The first three boxes have 4 cupcakes

The last box has

$14-3(4)=2\ cupcakes$

The fraction of the box that is empty is equal to the number of cupcakes missing to fill the box divided by the cupcake capacity of the box

$\frac{2}{4}=\frac{1}{2}$

Part c) How many more cupcakes are needed to fill this box

Subtract the number of cupcakes in the box from the cupcake capacity of the box

The last box has 2 cupcakes

The cupcake capacity of the box is 4

so

$4-2=2\ cupcakes$

therefore

Are needed 2 cupcakes to fill the last box

8 0

3 years ago

Please ignore this. It was a mistake.

Rina8888 [55]

Answer:

#ignores

Step-by-step explanation:

#letsallignore

7 0

2 years ago

Read 2 more answers

Please help! solve for x!

olga55 [171]

Answer:

x = 9

-1 + 14x = 12x + 17

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2 years ago

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Lin is playing hand ball and wants the ball to bounce off wall CB and land at D. Where on the wall should she aim if she's stand

ASHA 777 [7]

The triangles formed by the path of the ball and the wall in the given diagram are similar triangles.

<h3>Correct Response;</h3>

The point on the wall she should aim is; <u>A. 7.8 feet away from point B</u>

<h3 /><h3>Method by which the above value is obtained;</h3>

The possible diagram in the question is attached

Let <em>x</em> represent the distance from point <em>B</em> where the ball lands.

ΔCDE is similar to ΔABE, by Angle-Angle similarity postulate.

By trigonometric ratio, the tangent of the angles ∠CDE and ∠BAE are;

$tan(\angle CDE) = \mathbf{\dfrac{20 - x}{25}}$

$tan(\angle BAE) = \mathbf{ \dfrac{x}{16}}$

tan(∠CDE) = tan(∠BAE)

Therefore;

$\dfrac{20 - x}{25} = \dfrac{x}{16}$

Which gives;

16 × (20 - x) = 25·x

320 = 41·x

x = 320 ÷ 41 ≈ 7.8

The point on the wall she should aim if she's standing at point <em>A</em> is therefore;

<u>A, 7.8 feet away from point </u><u><em>B</em></u>

Learn more about trigonometric ratios here:

brainly.com/question/4326804

7 0

2 years ago

Is 2/9 closest to 0 1/2 or 1

umka2103 [35]

2/9=0.222.....

it is alot closer to zero than any of ther other numbers

6 0

2 years ago