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steposvetlana [31]
3 years ago
13

The school that Jaidee goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10

seniors citizen tickets and 11 student for a total of $190. The school took in $160 on the second day by selling 5 senior citizen tickets and 12 student tickets. Find the price of a senior citizen ticket and the price of a student ticket
Mathematics
1 answer:
Olenka [21]3 years ago
5 0

The price of a senior citizen ticket  is $8 and the price of a student ticket is$ 10

Step-by-step explanation:

Let the cost of one  seniors citizen ticket be x and  student  be y

First day:

10 seniors citizen tickets and 11 student for a total of $190.

10x + 11y = 190-----------------------------(1)

Second day:

$160 on the second day by selling 5 senior citizen tickets and 12 student tickets.

5x + 12y = 160---------------------------------(2)

Multiply eq(2) by 2

10x + 24y = 320----------------------------(3)

Subtract eq(1) from (3)

10x + 24y = 320

10x + 11y = 190

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

0x + 13 y =  130

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

13y = 130

y = \frac{130}{13}

y = 10-------------------------------(4)

Substituting (4) in (2)

5x +  12(10) =  160

5x + 120 = 160

5x = 160-120

5x = 40

x = \frac{40}{5}

x = 8

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garri49 [273]
Look at the picture.

1.
y=mx+b\\\\m=\dfrac{9}{3}=3\\\\b=4\\\\\boxed{f(x)=3x+4}

2.
f(x)=-2x+3\\\\for\ x=-2\to f(-2)=-2\cdot(-2)+3=4+3=7\to(-2;\ 7)\\for\ x=-1\to f(-1)=-2\cdot(-1)+3=2+3=5\to(-1;\ 5)\\for\ x=0\to f(0)=-2\cdot0+3=3\to(0;\ 3)\\for\ x=1\to f(1)=-2\cdot1+3=-2+3=1\to(1;\ 1)

3.
y=mx+b\\\\m=\dfrac{3}{6}=\dfrac{1}{2}=0.5\\\\b=-3\\\\\boxed{f(x)=0.5x-3}
for\ x=-6\to f(-6)=-6\\for\ x=-2\to f(-2)=-4\\for\ x=0\to f(0)=-3\\for\ x=6\to f(6)=0

4 0
3 years ago
6464 is 444 times the difference between Sarah's age, aaa, and 444444. Assume Sarah is older than 44
xxMikexx [17]

Answer:

60 years

Step-by-step explanation:

Given that :

Sarah's age = a

Assume Sarah is older than 44 ; then a > 44

64 = 4 times difference between a and 44

Expressing the problem mathematically ;

64 = 4 * (a - 44)

64 = 4a - 176

64 + 176 = 4a

240 = 4a

a = 240 / 4

a = 60

Hence, Sarah is aged 60

5 0
3 years ago
Please help and thank you!
bogdanovich [222]

the answer is 13 :))
4 0
3 years ago
Read 2 more answers
Suppose Casey Title Company normally charges $300 for services related to selling a house. As part of a summer special, Casey of
g100num [7]

Given :

Casey's company charges , C = $300.

In summer special, Casey offers customers a trade discount of 25%.

To Find :

Charges during summer.

Solution :

Let, x is the amount of charges they take during summer.

Casey offers customers a trade discount of 25%.

x =300(1-\dfrac{25}{100})\\\\x=300(1 - 0.25)\\\\x=300(0.75)\\\\x=\$225

Therefore, amount of charges during summers are $225.

Hence, this is the required solution.

8 0
3 years ago
This figure shows circle Z with chords AB and RS . mAR=55° mRB=66° AB=8 m RS=8 m What is mRS?
Alina [70]
M AR = 55°
m RB = 66°
Like AB=8 m =RS →m RS = m AB

m AB = m AR + m RB
m AB = 55° + 66°
m AB = 121°

m RS = m AB
M RS = 121°

Answer: m RS is 121°
4 0
4 years ago
Read 2 more answers
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