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kotegsom [21]
2 years ago
13

A storage company must design a large rectangular container with a square base. The volume is 6750ft3. The material for the top

costs $12 per square foot, the material for the sides costs $5 per square foot, and the material for the bottom costs $8 per square foot. Find the dimensions of the container that will minimize the total cost of material.
Mathematics
1 answer:
GuDViN [60]2 years ago
4 0
Ответ 163.54
Ниже расписано описание

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Solve |3k-2|=2|k+12|
Stella [2.4K]

Answer:

k = 26   or   k = -\dfrac{22}{5}

Step-by-step explanation:

|3k - 2| = 2|k + 12|

\dfrac{|3k - 2|}{|k + 12|} = 2

|\dfrac{3k - 2}{k + 12}| = 2

3k - 2 = 2(k + 12)   or   3k - 2 = -2(k + 12)

3k - 2 = 2k + 24   or   3k - 2 = -2k - 24

k = 26   or   5k = -22

k = 26   or   k = -\dfrac{22}{5}

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B49%7D%20" id="TexFormula1" title=" \sqrt{49} " alt=" \sqrt{49} " align="absmiddle
Zinaida [17]
Root of 49

Solutions are 7 and -7

We know that 7 is the square root of 49.

A negative number multiplied by itself gives positive
So -7 is also a square root of 49
5 0
3 years ago
The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of the rectangle is 30 meters.What is the le
faust18 [17]

Answer:

11 meters

Step-by-step explanation:

Lets say that  w = width of the rectangle, to start. If the length of the rectangle is 3 meters greater than 2 times the width, the length of the rectangle is equal to 3 + 2w.  

The perimeter of the rectangle is 2 * length of rectangle + 2 * width of the rectangle. With the perimeter being equal to 30 and width being w and length being 2w+3:

The perimeter of the rectangle is 2(w) + 2(2w+3) = 30.  

We first need to find out w first, which will give us the width of the rectangle. Taking it step by step, we get:

2w + 4w + 6 = 30

6w + 6= 30

6w = 24 which is done by subtracting both sides by 6 to put the variables on one side and the values on the other side

w = 4 which is done by dividing 6 on both sides

Ultimately, this gets width to be 4 meters. Now that we found the width, we need to plug w = 4 into the equation we set up for length which is 2w+3.

That being said, the ANSWER is:

length of rectangle = 2(4)+3 = 11 meters

Hope this helps! :)

4 0
3 years ago
And airplanes at altitude change -370 ft over 7 minutes what was the mean change of altitude in feet per minute?
Reil [10]
We have that
<span> [the mean change of altitude]=[change in altitude]/[time]
</span> [the mean change of altitude]=[-370]/[7]---------------> -52.86 ft/minute

the answer is -52.86 ft/minute  (<span>the negative sign means that the plane is descending</span>)
3 0
3 years ago
Choose the word phrase (greater than, less than, or equal to) to make the statements true.
d1i1m1o1n [39]

Answer:

Five pencils and two marches are worth greater than thirty paper clips.

Step-by-step explanation:

Let 'x' be paper clip.

Let 'y' be a match

and let 'z' be a pencil.

Now, let's write each statement as an equation:

Each paper clip can be traded for three matches:

x = 3y

Each pencil can be traded for six paper clips:

z = 6x

Now, five pencils equals 30 paper clips and two matches equals two thirds papel clips.

Therefore, we can say that Five pencils and two matches equals 30.66 matches. Therefore, five pencils and two marches are worth greater than thirty paper clips.

3 0
3 years ago
Read 2 more answers
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