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Arte-miy333 [17]
2 years ago
14

A movie theater sends out a coupon for 25​% off the price of a ticket. Write an equation for the​ situation, where y is the pric

e of the ticket with the​ coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant.
The equation is y =__
​(Use integers or decimals for any numbers in the​ expression).
Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
5 0

Answer:

Step-by-step explanation:

x-the original price

y- the discounted price

y= the original price - 25 % discounted from x  = x- (.25*x) = x( 1-.25) = .75x

equation is y= .75x

The equation should only be in the first quadrant because the prices can only be positive numbers.

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The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management
dexar [7]

Answer:

d. 15

Step-by-step explanation:

Putting the values in the shift 2 function

X1 + X2 ≥ 15

where x1=  13, and x2=2

13+12≥ 15

15≥ 15

At least 15 workers must be assigned to the shift 2.

The LP model questions require that the constraints are satisfied.

The constraint for the shift 2 is that the  number of workers must be equal or greater than 15

This can be solved using other constraint functions e.g

Putting  X4= 0 in

X1 + X4 ≥ 12

gives

X1 ≥ 12

Now Putting the value X1 ≥ 12  in shift 2 constraint

X1 + X2 ≥ 15

12+ 2≥ 15

14 ≥ 15

this does not satisfy the condition so this is wrong.

Now from

X2 + X3 ≥ 16

Putting X3= 14

X2 + 14 ≥ 16

gives

X2  ≥ 2

Putting these in the shift 2

X1 + X2 ≥ 15

13+2 ≥ 15

15 ≥ 15

Which gives the same result as above.

6 0
3 years ago
When sales representatives for a pharmaceutical company drive out of town meetings that require an overnight stay, they receive
blsea [12.9K]
X=number of miles

$329=$175+$0.70x
329-175=.70x
154=.70x
154/.70=x
220miles =x
6 0
3 years ago
Read 2 more answers
I swear this is not a quiz it's a lesson and I just finished the quiz and I got to 70
I am Lyosha [343]

Step-by-step explanation:

Any coordinates in the shaded area are solutions. Any coordinates on the line are not a solution due to it being dashed. Anything in the non-shaded area is also not a solution. You can always check if you are right by plugging in the numbers.

Example: (1, -2)

-2 < 0.5(1) + 2

-2 < 0.5 + 2

-2 < 2.5

True, -2 is less than 2.5.

Another Example: (-2, 1)

1 < 0.5(-2) + 2

1 < -1 + 2

1 < 1

False, 1 is not less than itself.

4 0
3 years ago
Write the point-slope form of the line that passes through (-8, 2) and is perpendicular to a line with a slope of -8
Schach [20]

Answer:

y - 2 = (1/8)(x + 8)

Step-by-step explanation:

The slope of the given line is -8.  That means the slope of any line perpendicular to the given line will be the negative reciprocal of -8, which would be (1/8).

Then the desired equation is

y - 2 = (1/8)(x + 8)

4 0
3 years ago
Tell whether the shapes are similar explain your answer
Luda [366]
Yes you can assume they are similar because the sides that correspond with one another are half of the big triangles measurements. 16/2=8 12/2=6 etc.
7 0
2 years ago
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