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BigorU [14]
4 years ago
11

What is the constant of proportionality of the ratio of students surveyed to the number of A grades?

Mathematics
1 answer:
andrew-mc [135]4 years ago
8 0
It would be letter c

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A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate
yulyashka [42]

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)

C'(x) = (-\dfrac{12500}{x^2})  + 20  --- (2)

At C'(x) = 0

\dfrac{12500}{x^2} = 20

\dfrac{12500}{20} = x^2

x^2= 625

x = \sqrt{625}

x = 25

C'' (x) = -12500 \times \dfrac{-2}{x^3} +0

C'' (x) = \dfrac{25000}{x^3}

where; x = 25

C'' (x) = \dfrac{25000}{25^3}

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0
3 years ago
A rectangular hotel room is 5 meters by 6 meters. The owner of the hotel wants to recarpet the room with carpet that costs $57.0
OLga [1]

Answer:

i dont know

Step-by-step explanation:

7 0
2 years ago
Suppose 6 quarts of a solution that is 52% antifreeze is mixed with 10 quarts of a solution that is 32% antifreeze. (A) how many
Vadim26 [7]
The total amount of the resulting mixture can be calculated by adding up the volume of the given substances assuming that volume addition is applicable given the properties of the fluids used. 

That is,
   T = 6 quarts + 10 quarts = 16 quarts

The total volume of the resulting mixture is 16.

Then, we do the component (antifreeze) balance by adding up the resulting antifreeze from the substances to the total. We let x be the percentage of antifreeze in the final mixture.

    6(0.52) + 10(0.32) = 16(x)

The value of x from the equation is 0.395.

Therefore, the answer to this item is 39.5%. 
4 0
3 years ago
PLS HELPP ME <br><br> 0.27500 in simplest form
ratelena [41]

Answer:

0.275

Step-by-step explanation:

You dont rly need the extra 0's

7 0
3 years ago
Write an expression that can be used to multiply 6x198 mentally
Vilka [71]
6×100+6×90+6×8 I think that is the answer
4 0
3 years ago
Read 2 more answers
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