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Gekata [30.6K]
3 years ago
7

A box is to be made where the material for the sides and the lid cost​ $0.20 per square foot and the cost for the bottom is ​$0.

05per square foot. Find the dimensions of a box with volume 15cubic feet that has minimum cost.
Mathematics
1 answer:
luda_lava [24]3 years ago
4 0

Answer:

Let the width of the base be x and the height of the box be y. The base is a square so its area is x2. Then the volume of the box is "base area times height", so the volume is V=x2y=40ft3.

The area of the base is x2, so the cost of the base is 0.31x2.

The area of each side is xy, so the cost of each side is 0.05xy, so the cost of all four sides is 4×0.05xy=0.2xy.

The area of the top is x2, so the cost of the top is 0.19x2.

So the total cost is C=0.31x2+0.19x2+0.2xy=0.5x2+0.2xy.

Since x2y=40, we have y=40/x2, so C=0.5x2+0.2x×40x2=0.5x2+8x. This we can optimise using derivatives.

Step-by-step explanation:

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Twenty-eight slices of pizza cost $12. Approximately how much would 70 slices cost?
Mademuasel [1]

Answer:

$30.

Step-by-step explanation:

70/28 = 2.5

12 x 2.5 = 30

5 0
2 years ago
Solve the system of equations by substitution. What is the solution for x? 2x + y = 1 4x + 2y = −1
lapo4ka [179]
Solve your system of equations.

2x+y=1;4x+2y=−1

Solve 2x+y=1 for y:

2x+y+−2x=1+−2x(Add -2x to both sides)

y=−2x+1

Substitute (−2x+1) for y in 4x+2y=−1:

4x+2y=−1

4x+2(−2x+1)=−1

2=−1(Simplify both sides of the equation)

2+−2=−1+−2(Add -2 to both sides)

0=−3

Answer: No solution. C)

8 0
3 years ago
Read 2 more answers
(50 points worth ) A rectangular prism fish tank a length of 5 1/2 in., a width of 7 in., and a height of 2 1/2 in. Use this to
densk [106]
A) What's the volume of this fish tank? Show all work and express your answer as a mixed number in its most simplified form!
 By definition we have that the volume of a rectangular prism is given by:
 V = (w) * (l) * (h)
 Where,
 w: width
 l: long
 h: height
 We then have to replace the values:
 V = (7) * (5.5) * (2.5)
 V = 96.25 in ^ 3
 Equivalently:
 V = 96 1/4 in ^ 3


 B) Could this fish tank hold 100 in³ of water? Answer yes or no, then explain why in one or more sentences.

 No, this fish tank could not hold 100 in³ of water.
 This is because the prism volume (part A) is less than 100 in ^ 3.
 In other words;
 96 1/4 in ^ 3 <100 in ^ 3
4 0
3 years ago
[50 Points each!!!] and Brainliest!
beks73 [17]

Answer:

<u><em>The difference between iPhone 11 and Spinal cord repairence is 99,300$</em></u>.

Step-by-step explanation:

To be honest, this is a really weird question.  But a<em><u> spinal cord injury</u></em> can cost up to <u><em>100,000$ a year</em></u>.  And an<u><em> iPhone 11 cost around 700$</em></u>.  It really just depends on what repairence the person got, but if I am wrong then I hope you the best with your question lol.  And since Alex didnt break his phone, you wouldnt count the repairs for the iPhone 11.

8 0
3 years ago
Please help ASAP!!!??
Mazyrski [523]

Answer:

\{-2,-1,1,2,4\}

Step-by-step explanation:

Given

The attached graph

Required

Determine the range of the graph

First, we list out the coordinate of each point on the graph:

The points are:

\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}

A function has the form: (x,y)

Where

y = range:

From the coordinate points above,

y = \{-1,-2,2,1,4\}

Order from least to greatest"

y = \{-2,-1,1,2,4\}

Hence, the range are: \{-2,-1,1,2,4\}

4 0
3 years ago
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