How do you write 21.035 in expanded form and written form

Answers

Answer 1

Answer: Expanded form:

21,035*10^-3

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In Andrew’s Furniture Shop, he assembles both bookcases and TV stands. Each type of furniture takes him about the same time to assemble. He figures he has time to make at most 18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00. He has $600.00 to spend on materials. Andrew makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand. Find how many of each piece of furniture Andrew should make so that he maximizes his profit.

Answers

Answer:

6 bookcases
12 TV stands

Step-by-step explanation:

Given Andrew has $600 for materials and can make 18 pieces of furniture, you want to know the number of each kind that maximizes profit if each bookcase costs $20 and gives $60 profit, while each TV stand costs $40 and gives $100 profit.

Setup

If x and y represent the numbers of bookcases and TV stands Andrew builds, respectively, then he wants to ...

maximize 60x +100y

subject to ...

x + y ≤ 18
20x +40y ≤ 600

Solution

The attached graph shows the solution space for these constraints. The profit is maximized at the vertex of the space where the profit function line is farthest from the origin. Andrew maximizes his profit by building ...

6 bookcases
12 TV stands

Final answer:

Andrew needs to solve a linear programming problem to find how many bookcases and TV stands he should manufacture for optimal profit. This is done by setting up and solving inequalities representing Andrew's time and material cost constraints, graphing the feasible region, and finding the point(s) in this region that yield the highest profit.

Explanation:

This question deals with the topics of linear programming and profit maximisation. Here, Andrew has to decide how much of each type of furniture, bookcases or TV stands, he should produce to maximise profit while considering time and material cost constraints.

From the given conditions, we get two inequalities. The first related to time says that the total number of bookcases and TV stands is less than or equal to 18: let bookcases be x, TV stands be y, thus we have x + y <= 18. The second involving the cost of material says that the total cost spent on materials for both products does not exceed $600: thus, we also have 20x + 40y <= 600.

You can graph these inequalities on the x-y plane to get a visual representation of the possibilities.

Finally, to find the optimal solution (i.e., the highest profit), you calculate the profit function P = 60x + 100y for each point in the feasible region and select the point that provides the highest profit.

Learn more about Linear Programming here:

brainly.com/question/34674455

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Is the equation true, false or open? 4y+8=6y+3

Answers

It is a true equation.
4y + 8 = 6y + 3
4y - 6y = 3 - 8
-2y = -5
-y = -5/2
-y = -2,5
y = 2.5
And if you use y back in the original equation, it will be:
4*2.5 + 8 = 6*2.5 +3
10 + 8 = 15 + 3
18 = 18

is it worth it to stress about my math grades in 8th grade? i'm in algebra 1 and the class is the only B i have. The grades for this class go towards my gpa and i'm not understanding a lot of the concepts because i don't have a teacher that explains concepts well. someone please tell me if it's worth stressing about

Answers

Answer:

You want top have the highest grade possible in this cource

Step-by-step explanation:

this is becasue all of the other cources in high school are harder than this one. Im in algebra 2 and it is very hard

P = 3n+3u
i need to solve for n

Answers

$p=3n+3u\n\n3n+3u=p\ \ \ /-3u\n\n3n+3u-3u=p-3u\n\n3n=p-3u\ \ \ /:3\n\n3n:3=(p-3u):3\n\nn=(p-3u)/(3)\to n=(p)/(3)-(3u)/(3)\to n=(1)/(3)p-u$

3n=3u+p
n=3u+p/3

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86 is 45% of what number

Answers

To get the answer we can use proportion
86 --------------45%
x ---------------- 100%
Now cross multiply
x*45%=86*100
45x=8600 /:45 (divide both sides by 45)
x=191.11 - its the answer

The best thing to do is to find 1%, and you can do this by diving 86 by 45. 86/45= 1.9111, and you've then got to multiply this by 100, and this gives you 191.11Hope this helps :)

Which equation has the same solution as ?

Answers

the answer is
(x-3)^2=16

4th answer option is correct because x*x is x^2, 3x+3x is positive 6x, and 3*3 is 9, 9 minus 16 is -7

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