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nevsk [136]
3 years ago
10

Write an equation, in the form y=kx, to describe the relationship given.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0

Answer:

19.25

Step-by-step explanation:

19.25 is going to be your constant, or <em>k </em>if I must say. That means that you would simply input 19.25 into the equation to make y=19.25x

hope that made sense!

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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
Evaluate the expression when m=4 and n=9 5m-n
Zigmanuir [339]
 5m-n
Just replace m with 4 and n with 9
5(4)-9=20-9=11
6 0
4 years ago
Choose the correct description of the graph of the inequality x - 3 &gt;= 5.
lions [1.4K]

The <em><u>correct answer</u></em> is:

D) Closed circle on 8, shading to the right.

Explanation:

First we must solve the inequality:

x - 3 ≥ 5

Add 3 to each side:

x - 3 + 3 ≥ 5 + 3

x ≥ 8

To graph this, we want a circle on 8 Since it is "greater than or equal to," 8 is included in the solution set. This means the circle will be closed.

Since it is "greater than," we want the numbers to the right of 8 on the number line.

This means the inequality will be a closed circle and shaded to the right.

8 0
3 years ago
Read 2 more answers
Ill give brainliest i really need help on this
Sever21 [200]
I think the answer is

B.
8 0
3 years ago
Jana baked some muffins. After she served 13 of them to her friends for brunch, she had 17 left. How many muffins did she bake?
aleksley [76]

Answer:

30

Step-by-step explanation:

Add 13 served to 17 left over to get how many muffins she originally baked.

6 0
1 year ago
Read 2 more answers
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