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Gelneren [198K]
2 years ago
9

On Saturday, 90 people visited a museum, Tickets to the museum cost

Mathematics
1 answer:
AveGali [126]2 years ago
3 0

Answer:

64 adult tickets were sold

Step-by-step explanation:

Let a = adult tickets sold

c = child tickets sold

a+c = 90  since there were 90 tickets sold

12a+7c = 950  since the amount of money collect is 950

c = 90-a

Substitute this into the second equation

12a +7( 90-a) = 950

Distribute

12a + 630-7a = 950

Combine like terms

5a +630 = 950

Subtract 630 from each side

5a = 950-630

5a = 320

Divide by 5

5a/5 = 320/5

a =64

64 adult tickets were sold

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Max w = 5y1 + 3y2<br> s. a.<br> y1 + y2 ≤ 50<br> 2y1 + 3y2 ≤ 60<br> y1<br> , y2 ≥ 0
CaHeK987 [17]

The maximum value of the objective function is 330

<h3>How to maximize the objective function?</h3>

The given parameters are:

Max w = 5y₁ + 3y₂

Subject to

y₁ + y₂ ≤ 50

2y₁ + 3y₂ ≤ 60

y₁ , y₂ ≥ 0

Start by plotting the graph of the constraints (see attachment)

From the attached graph, we have:

(y₁ , y₂) = (90, -40)

Substitute (y₁ , y₂) = (90, -40) in w = 5y₁ + 3y₂

w = 5 * 90 - 3 * 40

Evaluate

w = 330

Hence, the maximum value of the function is 330

Read more about objective functions at:

brainly.com/question/26036780

#SPJ1

7 0
1 year ago
Help please !!!!!!!! ASAP
fgiga [73]

Answer:

C

Step-by-step explanation:

3 1/2 x 2 = 7

5 0
2 years ago
A grandmother says her grandson is two years older years older than her ganddaughter and that together , they are at least 12 ye
suter [353]
 let x represent granddaughter and x +2 for grandson and together they = 12
 so then we have the equation of x+2+x = 12
 combine like terms 2x +2 =12
-2 from both sides to isolate x
2x=10  divide both sides by 2 to get x by itself 
so we get x = 5 then add 2 +5=7 
so grandson is 7 and granddaughter is 5
5 0
3 years ago
Find the value of x.
Trava [24]

Answer:

  x = 53

Step-by-step explanation:

The sum of the exterior angles of a convex polygon is always 360°.

  x +x +59 +48 +50 +39 +58 = 360

  2x +254 = 360 . . . . simplify

  x +127 = 180 . . . . . . divide by 2

  x = 53 . . . . . . . . . . . subtract 127

3 0
1 year ago
42.56x10 power of 2=???
Sergeu [11.5K]
  42.56                           hope I helped :)
x10
---------
425.6

3 0
2 years ago
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