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defon
3 years ago
14

Find the area of the mixed shape

Mathematics
2 answers:
forsale [732]3 years ago
7 0

Answer:

196

Step-by-step explanation:

i think

max2010maxim [7]3 years ago
4 0
2744 You have to multiply all 3 14s
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The amphitheater has two types of tickets available, reserved seats and lawn seats. The maximum capacity of the venue is 20,000
Tema [17]

Let the number of reserved tickets = x

Let the number of lawn seats = y

Constraint functions:

Maximum capacity means x+y\leq 20000

For concert to be held x+y\geq 5000

lawn seats\leq reserved means y\leq x

Objective functions :

Maximum profit equation p = 65x +40y

Intersection points :

(10000,10000) (20000,0)(2500,2500)(5000,0)

p at (10000,10000) = 65(10000) + 40(10000) = $1050000

p at (20000,0) = 65(20000) + 40(0) = $1300000

p at (2500,2500) = 65(2500) + 40(2500) = $262500

p at (5000,0) = 65(5000) + 40(0) =  $325000

Hence maximum profit occurs when all 20000 reserved seats are sold and the profit is $1300000

Please find attached the graph of it.

8 0
3 years ago
Write the equation of each line using the given information.
MrRissso [65]

Answer:

See explanation.

Step-by-step explanation:

We need a point and a slope to have a point slope equation.

y-y_{1}=m(x-x_{1})

We need a slope and y-intercept to write in slope intercept form.

y=mx+b

A) y-1=\frac{1}{2}(x+4) or y=\frac{1}{2}x+3

B) y+1=-1(x-2)

C) y-1=0(x-1)

D) y=-3x+8

4 0
3 years ago
Miss Chambers bought 5 pens for $255, if she made a profit of $3 each per pen how much did she sell a pen for?​
Natasha2012 [34]

Answer:

$54

Step-by-step explanation:

First, we calculate the amount she paid for each pen.

$255/5 = $51

She paid $51 for each pen.

She made a profit of $3 per pen, so she sold each pen for $51 + $3 = $54

Answer: $54

6 0
3 years ago
Read 2 more answers
A square pyramid has a height of 12 units and a volume of 256 units3. If a square prism has the same the base area and volume as
Juliette [100K]

Answer:

4 units

Step-by-step explanation:

The volume of a square pyramid is (a²)*h/3

256=a²*12/3

256=a²*4

256/4=a²

64=a²

a=8

Now we know that the square is 8 by 8.

The volume of a square prism is a²h

256=64h

256/64=h

h=4

Also, a square pyramid is 1/3 the volume of a square prism.

12÷3=4

3 0
3 years ago
What is 126 divided by 14?
lana66690 [7]
\frac { 126 }{ 14 } \\ \\ =\frac { 63\cdot 2 }{ 7\cdot 2 } \\ \\ =\frac { 63 }{ 7 } \\ \\ =9
7 0
3 years ago
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