Fred needs 410 game markers to play with his classmates and their families math night. He has 96 red markers, 123 blue markers, 106 yellow markers, and 72 green markers. Does he have enough game markers to play the game?

This is quite an interesting problem. I am not sure how high you are in math, but I am going to use calculus I techniques to solve it. First, we need to model an equation. Let P be the total profit and x be every time you increase the cost by $10. If you think about it hard enough you come up with the equation

[tex]P(x)=(200-5x)(250+10x)[/tex]

(200-5x) is the amount of plots you will be able to sell, and (250+10x) is the amount you charge for. So, at x =0

[tex]P(0)=(200-5(0))(250+10(0))=(200)(250)=$50,000[/tex]

This is the initial condition where if we sell 200 plots at $250/plot.

So, this equation makes sense.

Now, let's maximize using the first derivative of the function.

Let's get it into an easily differentiable form.

[tex]P(x)=(200-5x)(250+10x)=-50x^2+2000x-1250x+50000\\=-50x^2+750x+50000[/tex]

From here, differentiate the problem.

[tex]P'(x)=-100x+750[/tex]

Now, set it equal to zero and solve for x.

[tex]P'(x)=-100x+750=0\\x=7.5[/tex]

This a critical point of the function. Let's plug back into the original equation to see what it gives us.

[tex]P(7.5)=(200-5(7.5))(250+10(7.5))=(162.5)(325)=52,812.50[/tex]

You cant sell half a plot, so we need to see what happens if we sell 162 plots and 163 plots, and then compare which one gives us more money.

In order to sell 162 plots

[tex]200-5x=162\\x=7.6[/tex]Plug back into P(x) to see the profit

[tex]P(7.6)=(200-5(7.6))(250+10(7.6))=(162)(326)=52,812[/tex]

Now, do the same for 163 plots

[tex]200-5x=163\\x=7.4\\P(7.4)=(200-5(7.4))(250+10(7.4))=(163)(324)=52,812[/tex]

As we can see, they are the same. So, you can charge either $324 or $326 in rent. But, if your teacher is not looking for a logical answer and you can somehow sell half a plot, you can charge $325 in rent for the maximum profit.

Answer:

28,000 milligrams is your answer

Answer:

Screen shot it then save as then save as a png then turn it in

Step-by-step explanation:

Answer:

A option A is the write answer

a. There are 4 terms in the expression

b. There are 3 factors in the first term.

c. The constant is 16.

8ab + 3b + 16 - 4a

A term is any signed number, a variable, or a constant  multiplied by a

variable or variables.

Therefore, the terms are 8ab,  3b,  16, and -4a. The terms are 4 in numbers.

The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.

The term that is a constant is 16

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Answer: 15 inches

Step-by-step explanation:

15 × 1 ÷ 12 = 1.25 ft

1.25 ft = 1.25 × 12 = 15 in

Answer:

.65

Step-by-step explanation:

Using the multiplication operation, the population of the species in 30 years would be 8 times the current population. Hence, the population at the time would be [tex] 5.44 \times 10^{10}[/tex]

Therefore, 8 times the current population can be calculated thus :

[tex] 6.8 \times 10^{9} \times (8) = 54.4 \times 10^{9}[/tex]

Therefore, the population at the time would be [tex] 5.44 \times 10^{10}[/tex]

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Answer:

Step-by-step explanation: 56

nooooooooooooooooooooooooooooo

Answer:

L = -2t + 10, (5,0) the interpretation of the x-intercept in the context of the problem is the week that Jaxon owes no more money

Step-by-step explanation:

so we have L=mt+b with m being the slop and b being the y-intercept. the y-intercept is found by looking at what L is when t=0. when t=0, L=10 so b=10. now we have L=mt + 10. to find slop figure out rise/run. every 1 increase in t, L decreases 2 units. this is -2/1 or -2 so m=-2. so the graph is L = -2t + 10

the x- intercept is the t value when L=0, looking at the graph, when L=0, t=5, so the x-intercept is at (5,0)

Answer:

78.333333333

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

The red square means it equals 90 degrees

90 - 60 = 30

I hope this helps

Step-by-step explanation:

A. n is the number of persons excluding chaperones

B. The equation describes the situation where the total admission cost at orchard A is equal to that of B. (This happens at n=17 persons)

C. For which number of persons is orchard A cheaper than orchard B? (It will be for n is more than 17 persons, but there is no requirement to calculate this).

Answer:

4x+4)° (2x-16)

Step-by-step explanation:

(4x+4)° (2x-16)°

Answer: i think the answer is B.

Step-by-step explanation:

D can’t be correct cause it’s a negative and there’s no negatives in the question , if you look at B 2 9/20 can go into 1/2.

Answer:

C. 4/5

Step-by-step explanation:

k12

Answer:

49

Step-by-step explanation:

If there's 60 beads in total and 11 are round and the rest aren't all you have to do is subtract 11 from 60.

Like This: 60-11=49

To check your answer you can add them to see if you get 60. Like this: 11+49=60

Answer:

500 pounds

Step-by-step explanation:

Step-by-step explanation:

To do this divide 2000 by 4.This will give you around 500.

The solution to the inequality is that Mikey's family can drive at most 148

Inequality shows the non equal comparison of numbers or expressions.

Given that Mikey situation can be represented by the inequality:

112 + x ≤ 260

Solving the inequality:

112 + x ≤ 260

Subtract 112 from both sides of the equation:

112 + x - 112 ≤ 260 - 112

x ≤ 148

Hence from the inequality, we can see that Mikey's family can drive

at most 148

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it will be 36

Step-by-step explanation:

fgdsb b zgffhxgv

Answer:

3 hours and 45 minutes assuming its from am to pm

Step-by-step explanation:

Hope This Helps

Answer:

y = -3x + 4

Step-by-step explanation:

Use the slope intercept equation y = mx + b.

b is the y-intercept which is 4 in this equation.

The slope can be found from a graph using rise over run. This graph is decreasing so the slope is negative. Therefore, the slope is -3.

Answer:

3.33

Step-by-step explanation:

3.33

mixed number= 3 1/3

Answer:

3 1/3

Step-by-step explanation:

[tex]\frac{\frac{2}{3}}{\frac{1}{5}}[/tex] =

[tex]\frac{2}{3} * \frac{5}{1} = \frac{10}{3}[/tex]

10/3 = 3 1/3

-Chetan K

Answer:

12x-15 dollars

Step-by-step explanation:

She worked for x hours, and earned $12 for every hour. This would be 12x. Then, she got charged $15 dollars, so -15. It would then be 12x-15 dollars.

Answer:

NO

Step-by-step explanation: