The equations below represent the numbers y of tickets sold after x weeks for two different local music festivals.

Mathematics

1 answer:

kiruha [24]3 years ago

6 0

Answer:

Part a) 3.5 weeks

Part b) 185 tickets

Step-by-step explanation:

Part a) After how much time have the same number of tickets been sold for both festivals?

Let

x -----> the number of weeks

y ----> the number of tickets sold

we have

<em>Country Music Festival</em>

$y=10x+150$ ----> equation A

<em>Pop Music Festival</em>

$y=20x+115$ ----> equation B

Equate equation A and equation B

$20x+115=10x+150$

solve for x

$20x-10x=150-115$

$10x=35$

$x=3.5\ weeks$

Part b) What is the number of tickets sold at that time?

substitute the value of x=3.5 weeks in the linear equation A or linear equation B

$y=10(3.5)+150$

$y=35+150$

$y=185\ tickets$

You might be interested in

Suppose the time to complete a 200-meter backstroke swim for female competitive swimmers is normally distributed with a mean μ =

Natali [406]

Answer: The proportion that will qualify is 0.0314 or 3.14%.

First, we need to find the z-score of a time of 128 seconds. To do this, we find the difference of the mean and score and divide by the standard deviation.

(128 - 141) / 7 = -1.86

Now, use a standard normal distribution table to determine the percent below a z-score of -1.86. That value is 0.0314 or 3.14%.

6 0

3 years ago

The following a function (6,3), (-1,2), (-1,-1), (4,3)

Akimi4 [234]

for an expression or relation to be a function, it must not have any x-coordinate values repeated, let's check this one

$\bf (6,3), (\stackrel{\stackrel{rep eated}{\downarrow }}{-1},2), (\stackrel{\stackrel{rep eated}{\downarrow }}{-1},-1), (4,3)\qquad \textit{not a function}$