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Rus_ich [418]
3 years ago
12

Here is the graph (sorry).

Mathematics
1 answer:
Irina18 [472]3 years ago
4 0
Point a is at (30,10)!
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What is y greater then or equal to 2x on a graph
Juliette [100K]

Answer:

The minimal number for the objective function P =20x+16y is: 780

The value of x then is: 15

and the value of y then is : 30

Step-by-step explanation:

We are given a system of inequalities as:

y is less than or equal to 2x

i.e.          y ≤ 2x--------(1)

x + y is greater than or equal to 45

i.e.      x+y ≥ 45  ------------(2)    

and    x is less than or equal to 30.    

i.e.               x ≤ 30 -----------(3)    

On plotting these inequalities we get the boundary points as:

        (15,30) , (30,60) and (30,15)    

( Since, the optimal solution always exist at the boundary point )

The optimal function is given by:

 Minimize  P = 20x+16y

Hence, at (15,30) we get:

P= 780

at (30,60) we get:

 P= 1560

at (30,15) we get:

P= 840

This  means that the minimal value of the function is 780

and the value exist at (15,30)

5 0
3 years ago
What is 8.3 times 1 plz
alekssr [168]
8.3 : anything multiplied by one is itself
4 0
3 years ago
Read 2 more answers
Help please :) about to post more too
yKpoI14uk [10]

Answer:

Lets say test tubes = t, and beakers = b

1 pack of (t) is $4 less than 1 pack of (b)

Since i have no prior information we are going to use variables for this equation:

1t (1 pack of test tubes) is $4 less than 1b (1 set of beakers)

so to quantify the equation, we have 8t and 12b.

if b is a number that IS quantifiable such as $5 we can easily figure out this answer.

Lets use and example that 1 set of beakers is $8, if we multiply $8 by 12 (the number of sets of beakers), we get: 96

Using the same example, if 1t is $4 less than 1b than 1t = $4. So, if we multiply $4 by 8 (the amount of packs of test tubes), we get: 32

If you take both of those numbers: 96, and 32 and you divide them you get 3. so that means that 1t = 3b

Answer = 1t = 3b

This may not be correct due to the little information that i got however i hope that, that works out for you :)

5 0
3 years ago
What is x-31=112<br><br><br>please help​
Oliga [24]

Answer:

143

Step-by-step explanation:

x-31=112

Add 31 to both sides,

x - 31 = 112

  +31    +31

-31 and +31, cancel out so we're left with...

x = 143

5 0
3 years ago
Read 2 more answers
When a number is tripled, the result is 99. Let p represent the number. What is the value of the number?
artcher [175]

Answer:

p equals 33 which is the answer to the problem

6 0
3 years ago
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