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LiRa [457]
3 years ago
15

The school that molly goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 6 sen

ior citizen tickets and 7 student tickets for a total of 174$. The school took in $318 on the second school day by selling 10 senior citizen tickets and 14 students tickets. Find the price of a senior citizen ticket and the price for a student ticket
Mathematics
1 answer:
krek1111 [17]3 years ago
5 0
The cost of a senior citizen ticket is $15 and the cost of a student ticket is $12.

How did I get this?
We know that 6 citizen tickets and 7 student stickers sold for $174 the first day. And 10 citizen tickets and 14 student tickets sold for $318 the second day.

1. create two equations out of this: C= citizen cost per ticket and S = student cost per ticket.

  6C + 7S = $174
10C + 14S = $318

2. Use process of elimination. Multiply the first equation by 2 because we want two variables to cancel out.

-12C - 14S = -$348
10C + 14S = $318
Combine like terms.

-2C = $30
Divide by -2 on both sides. The left side cancels out.

C = $30/-2
C = -$15 (In this case the negative doesn't matter)

C = $15 (cost of senior citizen ticket)

Plug the value of C into any of the two equations so we can get the value of S.

6($15) + 7S = $174
Distribute the 6 into the parenthesis.

$90 + 7S = $174
Subtract both sides by $90 and the left side will cancel out.

7S = $84
Divide both sides by 7.
S = $12

Student ticket: $12
Senior citizen ticket: $15




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5 0
3 years ago
A washer and a dryer cost $799 combined. The washer costs $49 more than the dryer. What is the cost of the dryer?
rusak2 [61]
A) w + d = 799
B) w = d + 49
B) w -d = 49

Adding A & B
2w = 848

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4 0
3 years ago
Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=2/3x+9 m (–6, 5)
Marina86 [1]
<h2>Question :</h2>

<em>Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=2/3x+9 m (–6, 5)</em>

<h2>Answer :</h2>

<em>y = -3/2x - 4 </em>

<h2>Explanation :</h2>

y = mx + c

*m = gradien

•>looking for gradients

y=2/3x+9

m1 = 2/3

m2 = -3/2

•>line equation (-6,5)

y - y1 = m(x - x1)

y - 5 = -3/2(x - (-6))

y - 5 = -3/2(x + 6)

y - 5 = -3/2 - 9

y = -3/2x - 9 + 5

y = -3/2x - 4

8 0
3 years ago
I NEED PART B AND C DONE I DID PART A, PLEASE HELP AND TELL ME WHAT PART YOU ARE SOLVING ALSO LOTS OF POINTS!!!
RideAnS [48]

Answer:

(8,10) is not a solution

Step-by-step explanation:

Cuz it’s not on both inequality shaded part but just one of them and also when we substitute one is true and the other one is false

2x + y _< 8

2(8) + 10 _< 8

18 + 10 _< 8

28 _< 8 false

X + y _> 4

8 + 10 -> 4

18 _> 4 true

7 0
3 years ago
Read 2 more answers
Find the value of x, y, and z.
egoroff_w [7]

Answer:

x = 61°

y = 61°

z = 58°

Step-by-step explanation:

In the given triangle, measures of two sides are equal. So, measures of angles opposite to them are also equal.

Therefore,

x + x + 58 \degree = 180 \degree \\  \\ 2x = 180 \degree - 58 \degree \\  \\ 2x = 122 \degree \\  \\ x =  \frac{122 \degree}{2}  \\  \\ x = 61\degree  \\  \\ y = 61\degree  \\  ( \angle s \: in \: the \: alternate \: segment) \\ \\ z = 58\degree  \\  ( \angle s \: in \: the \: alternate \: segment) \\

8 0
3 years ago
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