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spin [16.1K]
2 years ago
9

Plz help idk how to do this and now everything is getting on my nerves

Mathematics
1 answer:
S_A_V [24]2 years ago
3 0

Answer:

y = 2x + 120

Step-by-step explanation:

Step 1:  Set up 2 equations to find out the money earned per ticket.

One week they sold 40 tickets and made $200.  This includes some flat rate of pay, so our equation is

  40x + y = 200    (40 tickets times the money made off of each plus their flat

                               rate is $200)

The next week they sold 70 tickets and made $260.  This also includes the flat rate of pay, so our second equation is

 70x + y = 260    

Use elimination to solve this system of equation...

70x + y = 260

40x + y = 200    

                                       subtract the second equation from the first to get rid

                                         of the y variable, then solve for x

30x = 60    

    x = 2                             (divide both sides by 30)

So they make $2 per ticket sold.

Step 2:  Find out the flat rate they are paid.   Plug 2 into x in either equation and solve.

40(2) + y = 200

   80 + y =  200

 

       y = 120

So they are paid $120 flat rate.

The equation we get is the money per ticket, plus the flat rate, so

y = 2x + 120       (2x represents 2 dollars for every ticket sold)

                       

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8. The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United
Shkiper50 [21]

Answer:

0.2637

Step-by-step explanation:

Population size is top 15 ranking restaurants.

Number of draws = 3

Number of observed successes = 5

Probability formula :  [r . x } { n -r] [n - x]

solving the equation we get 24 / 91 which is approximately 0.2637

4 0
2 years ago
Write the slope-intercept form of the equation of the line through the given points.
Yuri [45]
<h3>Answer:  y = 3x+4</h3>

Slope = 3

y intercept = 4

========================================================

Explanation:

Let's find the slope.

m = \text{slope}\\\\m=\frac{\text{rise}}{\text{run}}\\\\m = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{7-4}{1-0}\\\\m = \frac{3}{1}\\\\m = 3

The slope is m = 3.

The y intercept is b = 4 due to the point (0,4). The y intercept <u>always</u> occurs when x = 0.

We'll then plug those m and b values into y = mx+b to get the answer y = 3x+4

-----------

As a way to check the answer, plugging x = 0 should lead to y = 4

y = 3x+4

y = 3*0+4

y = 0+4

y = 4

So that works out. Let's try x = 1. It should produce y = 7

y = 3x+4

y = 3*1+4

y = 3+4

y = 7

That works out also. The answer is fully confirmed.

4 0
2 years ago
Eli attended a concert. The decibel level of the music averaged 110 decibels but varied by 28 decibels from the average. Enter a
musickatia [10]

Answer:

The decibel range is   82\leq d\leq 138

Step-by-step explanation:

Let

d -----> the decibel level of the music

we know that

The absolute value of the difference of the decibel level of the music and its average, must be less than or equal to 28 decibels

so

The absolute value that represent this problem is

\left|d-110\right|\le28

Solve the absolute value

<em>First solution (positive)</em>

+(d-110)\le28

Adds 110 both sides

d\le28+110

d\le138

<em>Second solution (negative)</em>

-(d-110)\le28

Multiply by -1 both sides

(d-110)\ge-28

Adds 110 both sides

d\ge-28+110

d\ge82

therefore

The decibel range is

82\leq d\leq 138

8 0
3 years ago
Angela works at a job that pays $9.46 per hour. She works for 30 hours per week.
lozanna [386]

Answer:

$13,622.4

Step-by-step explanation:

$1,135.2(what she gets paid per month) *12 (months per year)

4 0
2 years ago
What is the equation of a line with a slope of
bulgar [2K]

Answer: D. 1/2x - 3

Hope this helps :)

6 0
3 years ago
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