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Anna007 [38]
4 years ago
12

CFMS has contacted a band to play at an upcoming event. The band will charge a travel fee of $525 plus $12.50 per ticket sold.Th

e school decides to turn the event into a fundraiser by increasing the cost of the tickets. If they want to make a profit of $875, how much will they need to charge per ticket?
Mathematics
2 answers:
Dmitrij [34]4 years ago
6 0
X=28 so they need to charge them
Alinara [238K]4 years ago
5 0

Answer:

x=28 so they need to charge 28 tickets

Step-by-step explanation:

525 + 12.50x=875

First, take the 525 and drag it to the other side which will become into negative so the equation will be 12.50x=875-525 now just subtract it and u will get the answer of 12.50x=350 now all you need to do is divide \frac{350}{12.5} and now the answer will be x=28 to double check we can just multiply 12.5 times 28 =  350 now plus 525 is = to 875 hope this helped :>

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When 5 is added to 2 times a number, the result is 45. find the number.
WINSTONCH [101]
A.

let the number be n.
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3 0
3 years ago
How many real solutions exist for this system of equations?
Rom4ik [11]

Answer:

One

Step-by-step explanation:

Set each equations equal to each other

{x}^{2}  + 4 = 4x

{x}^{2}  - 4x + 4

Find the discrimant.

{ - 4 {}^{2} - 4(1)(4) } = 0

This means there is one real solution. Since the discramnt equal 0.

7 0
3 years ago
A line passes through the point (4, -6) and has a slope of 3/2 . Write an equation in slope-intercept form for this line.
tatyana61 [14]

A slope intercept form: y = mx + b where m = slope and b = y -intercept

A slope of 3/2 is given

So y = 3/2 x + b

To find b:

b = y - mx

A line passes through the point (4, -6)

b = -6 - (3/2)(4)

b = -6 - 6

b = - 12

Answer

Equation in  slope intercept form:  y = 3/2 x - 12


8 0
3 years ago
Read 2 more answers
Refer to the isosceles trapezoid shown. Find m(BC)
patriot [66]

Answer:

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5 0
3 years ago
Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c
natali 33 [55]

Answer:  By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are (\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)

Coordinate of E are  (\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)

By the distance formula,

DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}

AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}

By the slope formula,

Slope of AC = \frac{4-8}{8-6} = \frac{-4}{2} = -2

Slope of DE =  \frac{3-5}{5-4} = \frac{-2}{1} = -2


            Statement                                              Reason

1. The coordinate of D are (4,5)  and           1. By the midpoint formula

the coordinate of  E are (5,3)

2. The length of DE = √5                            2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the                3. By the slope formula

slope of AC = -2

4. DE║AC                                                   4. Slopes of parallel lines are equal


7 0
3 years ago
Read 2 more answers
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