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Alex73 [517]
2 years ago
5

Mustafa’s soccer team is planning a school dance as a fundraiser. The dj charges $200 and decorations cost $100. The team deci

des to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, write an equation of n
Mathematics
1 answer:
Kaylis [27]2 years ago
8 0

Question is Incomplete;Complete question is given below.

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

5n - 300 = 1,500\\\\5n + 300 = 1,500\\ \\5n - 200 + 100n = 1,500\\\\5n - 100 -200n = 1,500

Answer:

5n - 300 = 1,500

Step-by-step explanation:

Given:

Charges of DJ = $200

Decoration charges = $100

Profit need to be made = $1500

Charges per student to attend the dance = $5

We need to write the equation to find the number of students for to attend the dance in order to make profit.

Solution:

Let the number of student be represented by 'n'.

Now we can say that;

Profit to be made should be equal to Charges per student to attend the dance multiplied by number of students minus sum of Charges of DJ and Decoration charges.

framing in equation form we get;

5n-(200+100)=1500\\\\5n-300=1500

Hence the equation to find the number of students attending the dance is 5n - 300 = 1,500

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Part 1)

we have

the scale is 1:100,000

the distance on a map is 12\ cm

we know that

The scale is equal to the distance on a map divided by the real distance

Let

x------> distance on a map

y-------> real distance

S-------> scale

S=\frac{x}{y}

In this part we have

S=\frac{1}{100,000}

x=12\ cm  

Find the value of y

y=\frac{x}{S}

Substitute the values

y=\frac{12}{(1/100,000)}

y=1,200,000\ cm

Convert to kilometers

y=12\ Km

Part 2)

In this part we have

S=\frac{1}{300,000}

y=12\ km  

Find the value of x

x=S*y

Substitute the values

x=(1/300,000)*12

x=0.00004 Km

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x=4\ cm

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The distance is 4\ cm

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2 years ago
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Pentagon ABCDE was enlarged:
enot [183]

Answer/Step-by-step explanation:

The ratio of the enlargement to the original = A'E' to AE = A'E':AE = A'E'/AE

AE = 2.5

A'E' = 4

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2 years ago
Use two points to enter an equation for the function. Give your answer in the form a(b)^n. In the event that a = 1, give your an
levacccp [35]

Answer:

m(n) = 24 (0.75)^n

Step-by-step explanation:

1) <u>The two points are</u>:

a) On the first swing she swings forward by 18 degrees: <em>(1, 18)</em>

b) On the second swing she only comes 13.5 degrees forward: <em>(2,13.5)</em>

2) <u>The general equation using the form given is</u>:

m(n)=A(B)^n

3) <u>Substitute the two points</u>:

18=A(B)\\ \\ 13.5=A(B)^2

4) <u>Divide the second equation by the first one</u>:

⇒ 13.5 / 18 = B

⇒ B = 0.75

5) <u>Substitue B = 0.75 into the first equation</u>:

18 = A (0.75) ⇒ A = 18 / 0.75 = 24

Hence, the equation is:

m(n) = 24 (0.75)^n

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In 2005, there were 74,250 car accidents. In 20,187 of them, the driver was a
zhuklara [117]

Answer:

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Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

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27.19% probability that a female driver was involved in an accident

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