The diagram shows the graph of y=2x+c <br> Find the value of k

tickets for a harlem globetrotter show cost $28 general admission, $43 courtside, or $173 bench seats. Nine times as many genera

densk [106]

Answer:

general admission tickets 1170

courtside tickets 985

tickets bench seats. 130

Step-by-step explanation:

To solve the problem, it is necessary to generate a system of equations with the information provided by the statement.

First be

x = # general admission tickets

y = # courtside tickets

z = # tickets bench seats.

The first equation would be that they sold nine times more general admission tickets than bench seats tickets.

That is: x = 9 * z (1)

And the second equation is that the number of general admission tickets sold was 55 more than the sum of the number of courtside tickets and bench seats tickets.

That is: x = 55 + y + z (2)

Now the third equation would be the money raised.

28 * x + 43 * y + 173 * z = 97605 (3)

Now if I replace I rearrange (1):

z = x / 9 (4) and replacement in 2, I have:

x = 55 + y + x / 9, rearranging:

y = (8/9) * x - 55 (5)

Now replacing (4) and (5) in 3, we have:

28 * x + 43 * ((8/9) * x - 55) + 173 * (x / 9) = 97605

Solving the above:

x = 1170, therefore

y = (8/9) * 1170 55 = 985

z = 1170/9 = 130

We can confirm this with equation (3)

28 * x + 43 * y + 173 * z = 97605

28 * 1170 + 43 * 985 + 173 * 130 = 97605

5 0

3 years ago

The ratio of water to punch mix is 8 parts to 1 part. If you use 6 gallons of water predict the amount of punch mix to use

Valentin [98]

Answer:

The amount of punch mix to use is 3/4 gallons

Step-by-step explanation:

Let

x ----> parts of water

y ---> parts of punch mix

we know that

$\frac{x}{y} =\frac{8}{1}$

$x=8y$ ----> equation A

That means ---> The parts of water is 8 times the parts of punch mix

If we have 6 gal of water

then

$x=6\ gal$

substitute in the equation A

$6=8y$

solve for y

$y=\frac{6}{8}\ gal$

Simplify

$y=\frac{3}{4}\ gal$

therefore

The amount of punch mix to use is 3/4 gallons

6 0

2 years ago

Individual bottles of water are filled by a machine at a factory with an amount of water that is approximately normal with a mea

morpeh [17]

Answer:

P(500< xˉ <510)≈0.95

Step-by-step explanation:

Khan Academy

5 0

3 years ago

Assume a normal distribution. From the Baltimore facility, 145 samples were obtained and compared with a sample of 128 from the

Evgesh-ka [11]

Answer:

Hello your question has some missing part below is the missing part

The mean hours per week and standard deviations for middle management who had been with the organizations for approximately the same length of time were: Baltimore facility, Burlington facility Mean 52.5 Mean 39.7

Standard deviation 19.7 Standard Deviation 8.9Using this data, complete the following:

State your hypothesis and conduct a hypothesis testing using a significance of 0.10.

answer : We will reject the Null hypothesis

Step-by-step explanation:

μ1 = mean working hours for Baltimore facility

μ2 = mean working hours for Burlington facility

Hence the Hypothesis are :

H0 : μ1 = μ2

Ha : μ1 > μ2

<em>Next: Conduct a hypothesis testing </em>

we will apply Z - testing attached below is the hypothesis testing

n1 = 145 , X1 = 52.5 , δ1 = 19.7 ( Baltimore )

n2 = 128, X2 = 39.7 , δ2 = 8.9 ( Burlington )

6 0

3 years ago

Divide and simplify

Over [174]

Answer:

(8^6)÷(8^2)=8^4

8^6=262,144

8^2=64

8^4=4,096

262,144÷64=4,096

7 0

3 years ago

The diagram shows the graph of y=2x+c Find the value of k