A piece of wire is used to form the framework of a cube. The volume of the cube is 2744 cubic inches. Find the length of the wire

Answers

Answer 1

Answer:

Answer:

56 inches (perimeter) * 14 inches (height) = 784 inches

Step-by-step explanation:

To find the length of the wire used to form the framework of a cube, we need to consider the perimeter of the cube's base and multiply it by the height of the cube.

The volume of the cube is given as 2744 cubic inches. Since the volume of a cube is calculated by multiplying the length, width, and height of the cube, we can find the length of each side of the cube by taking the cube root of the volume.

∛2744 = 14

So, each side of the cube measures 14 inches.

To find the perimeter of the cube's base, we multiply the length of one side by 4 (since the base of a cube has 4 sides of equal length).

14 inches * 4 = 56 inches

Therefore, the perimeter of the cube's base is 56 inches.

To find the length of the wire used to form the framework of the cube, we multiply the perimeter of the base by the height of the cube. Since all sides of a cube are equal, the height is also equal to the length of one side, which is 14 inches.

56 inches (perimeter) * 14 inches (height) = 784 inches

So, the length of the wire used to form the framework of the cube is 784 inches.

Answer 2

Answer:

168 in

Step-by-step explanation:

Volume of a cube = length*width*height

Cubic root of 2744 = 14

Cube = 4 length+4 width+4 heights = 12

14 + 12 = 168 in of wire

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If it takes Mark twice as long to earn $6.00 as it takes Carl to earn $4.00, what is theratio of Mark’s pay per hour to Carl’s pay per hour?

Answers

The ratio of Mark’s pay per hour to Carl’s pay per hour is 3:4 given that Mark takes twice as long as to earn $6.00 as it takes Carl to earn $4.00. This can be obtained by dividing their hourly wages.

What is the required ratio?

Given that, Mark takes twice as long as to earn $6.00 as it takes Carl to earn $4.00.

(Time taken for Mark to earn $6)=2×(Time taken for Carl to earn $4)

Time taken for Mark to earn $3 = Time taken for Carl to earn $4

This means that Mark takes the same amount of time to earn $3.00 as Carl earn $4.00.

Thus the ratio of Mark’s pay per hour to Carl’s pay per hour, 3/4 = 3:4

Learn more about ratio here:

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If it takes Mark twice as long to make $6.00 than Carl making $4.00, this means Mark made $3.00 in the time it took Carl to make $4.00.
So the ratio is $3.00 to $4.00, or 3/4.

Maximum or Minimum. Domain and range of
y=x^2-4x+4

Answers

$y=x^2-4x+4\n\na=1;\ b=-4;\ c=4\n\na > 0\ then\ minimum:\n\n(-b)/(2a)=(-(-4))/(2\cdot1)=(4)/(2)=2\n\ny_(min)=2^2-4\cdot2+4=4-8+4=0\n\n\ndomain:x\in\mathbb{R}\n\n\nrange:y\in\left<0;\ \infty\right)$

A jar contains five red marbles and three green marbles. A marble is drawn at random and notreplaced. A second marble is then drawn from the jar.1) Find the probability that the first marble is red and the second marble is green.
2) Find the probability that both marbles are red.
3) Find the probability that both marbles are the same color.

i dont understand how to find 2 & 3, can someone explain please? thank you

Answers

$1)\nA-the\ first\ marble\ is\ red\ and\ the\ second\ marble\ is\ green\n\nP(A)=(5)/(8)\cdot(3)/(7)=(15)/(56)\n\n2)\nB-goth\ marbles\ are\ red\n\nP(B)=(5)/(8)\cdot(4)/(7)=(5)/(2)\cdot(1)/(7)=(5)/(14)\n\n3)\nC-both\ marbles\ are\ the\ same\ color\n\nP(C)=(5)/(8)\cdot(4)/(7)+(3)/(8)\cdot(2)/(7)=(20)/(56)+(6)/(56)=(26)/(56)=(13)/(28)$

Simplify 2m - [n - (m - 2n)].
-3m - n
3m - n
-3m - 3n
3m - 3n

Answers

you get 2m+m-3n which simplifies to 3m-3n

At the grocery store, you can buy gum in a 6 pack for $11.70 or a 12 pack of gum for $23. Which is the better deal and what is the price per pack of gun if the better deal?

Answers

The better deal is the 12 pack. You would have more gum per dollar. If you bought two six packs, you would be paying $1.95 for a piece of gum. If you bought the 12 pack you would be paying 1.916 (repeating) for a pice of gum.

Solve the problem. Round to the nearest cent.Mark knows that he will need to buy a new car in 5 years. The car will cost $15,000 by then. How much should he invest now at 8%, compounded quarterly, so that he will have enough to buy a new car?
a. $9452.54
c. $12,328.91
b. $11,025.45
d. $10,094.57