15

The school that Jack goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 9 seni

raketka [301]

Answer:

Price of a senior citizen ticket is $4 and price of a student ticket is $15 .

Step-by-step explanation:

Let us assume that the price a senior citizen ticket be x .

Let us assume that the price a student citizen ticket be y .

As given

The school that Jack goes to is selling tickets to a choral performance.

On the first day of ticket sales the school sold 9 senior citizen tickets and 8 student tickets for a total of $156.

Equtaions becomes

9x + 8y = 156

As given

The school took in $163 on the second day by selling 7 senior citizen tickets and 9 student tickets.

Equations becomes

7x + 9y = 163

Multipy 9x + 8y = 156 by 9 .

81x + 72y = 1404

Multiply 7x + 9y = 163 by 8 .

56x + 72y = 1304

Subtracted 56x + 72y = 1304 from 81x + 72y = 1404 .

81x - 56x + 72y - 72y = 1404 - 1304

25x = 100

$x = \frac{100}{25}$

x = $ 4

Putting value of x in the 56x + 72y = 1304 .

56 × 4 + 72y = 1304

224 + 72y = 1304

72y = 1304 - 224

72y = 1080

$y = \frac{1080}{72}$

y = $15

Therefore the price of a senior citizen ticket is $4 and price of a student ticket is $15 .

5 0

3 years ago

You get your first job ever and they tell you that you will make $350.25 for 15 hours. How much money will you make working 40 h

Nuetrik [128]

I’m pretty sure the answer is $934

4 0

2 years ago

Three poultry farms B1, B2, and B3 supply chicken eggs to the same local market. The market performs some quality testing on the

ipn [44]

Answer:

a. 0.58

b. 0.78

Step-by-step explanation:

a. The probability of egg come from B1 or B2

P(B1) = 3000/10000 = 0.3

P(B2) = 4000/10000 = 0.4

P(P1 ∪ B2) = 0.3 + 0.4 -(0.3)(0.4)

P(P1 ∪ B2) = 0.7 - 0.12

P(P1 ∪ B2) = 0.58

b. The probability that the market received an egg that is acceptable

P(received an egg that is acceptable) = P(B1 acceptable) + P(B2 acceptable) + P(B3 acceptable)

P(received an egg that is acceptable) = 0.80*3000 + 0.90*4000 + 0.60*3000 / 10000

P(received an egg that is acceptable) = 2400 + 3600 + 1800 / 10000

P(received an egg that is acceptable) = 7800 / 10000

P(received an egg that is acceptable) = 0.78

4 0

3 years ago

Simplify: x36y64‾‾‾‾‾‾√

AleksandrR [38]

Answer:

Step-by-step explanation:

x18y32 x18y x6y4 x6y32

7 0

2 years ago

Express 10.9090909091... as a rational number, in the form pq where p and q are positive integers with no common factors.

Alexeev081 [22]

Firts, Let $x$ be the repeated decimal that we are trying to convert , so $x=10.9090909090$ equation (1)

Next, lets find how many digits are repeating:
It is pretty cleat that 90 is repeating, and 90 has two digits. So we are going to multiply our equation by 100 to move the decimal point two places:
$100x=1090.90909090$ (2)

Subtract equation (1) from equation (2):
$100x-x=1090.90909090-10.90909090$
$99x=1080$

Solve for $x$
$x= \frac{1080}{99}$

We can conclude that 10.9090909091... expressed as a rational number, i<span>n the form pq where p and q are positive integers with no common factors, is </span> $\frac{1080}{99}$ .

4 0

3 years ago