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marshall27 [118]
3 years ago
7

Could someone help me with this?

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0
It looks like a 126%angle ok
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box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box (in cm) that minimize the am
Naya [18.7K]

Answer:

Hence the width, length is 20 cm and height is 10 cm

Step-by-step explanation:

Since the box has a square base, let length = width = x. Also, let the height = y, therefore:

The volume of box = width * length * height

4000 = x * x * y

4000 = x²y

y=4000/x²

The surface area (SA) = area of the base + sum of the area of each side

SA = x² + xy + xy + xy + xy

SA = x² + 4xy

substitute y = 4000/x²

SA = x² + 4x(4000/x²)

SA = x² + 16000/x

Taking the derivative:

SA' = 2x - 16000/x²

making SA' = 0:

0 = 2x - 16000/x²

2x = 16000/x²

2x³ = 16000

x³ = 8000

x = 20 cm

y = 4000 / x² = 4000 / 20² = 10 cm

Hence the width, length is 20 cm and height is 10 cm

6 0
3 years ago
Two grocery stores are having deals on tomatoes. Sally's Grocery is selling 10 tomatoes for $6.30. Sweet Supermarket is selling
iragen [17]

Answer:

Step-by-step explanation:

Calculate price per unit:

7/5.10= $1.37

So the answer is the store selling 10 tomatoes for $6.30 is the lower unit price

The tomoatoes if they were sold at Sally’s instead would cost $4.41

4 0
2 years ago
How to solve Y = eight, X =2 and direct variation
rodikova [14]

Answer:

The answer is k = 4.

Step-by-step explanation:

Given:

Y = 8 and X = 2.

Now, to solve direct variation.

y direct with x.

Now, using equation to solve direct variation:

y=kx

8=k\times 2

Dividing both sides by 2 we get:

4=k.

Therefore, the answer is k = 4.

5 0
3 years ago
4x-y=20 find the X and Y intercepts from the equation
GalinKa [24]

Answer:

its c

Step-by-step explanation:

i took it

7 0
3 years ago
How to solve the rational equation?<br><br> 1/3 + 1/2 = 1/x
tatyana61 [14]

Answer:

 x = ⁶/₅  

Step-by-step explanation:

\begin{array}{rcll}\dfrac{1}{3} + \dfrac{1}{2} & = &\dfrac{1}{x} & \\\\2x + 3x & = & 6 & \text{Multiplied all terms by LCM of denominators (6x)}\\5x & = & 6 & \text{Simplified left-hand side}\\x & = & \mathbf{\dfrac{6}{5}} & \text{Divided each side by 5}\\\end{array}

8 0
3 years ago
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