What is the value of x in the solution to the following system of equations?x − 2y = 2
3x + y = 6

Answers

Answer 1

Answer: x -2y = 2
3x +y = 6 multiplie both sides by 2 => 6x +2y = 12

x -2y = 2
6x +2y = 12
------------------- assum the same terms
7x 0 = 14

x = 14/7

x = 2

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Express each number as a quotient of two integer of 54

Answers

There are many possibilities. For example 108/2, -108/-2, 162/3, -162/-3, 216/4, -216/-4, and so forth....

A box of chalk is in the shape of a rectangular prism with a length of 16 centimeters, a width of 512 centimeters, and a height of 3 centimeters. What is the volume the box, in cubic centimeters?

Answers

A rectangular prism is a 3D figure. It has an x, y and a z component. In simpler terms, it has a length (how long is the image), width (how thick is the image in the y component) and height (how tall the figure is). To solve this we just have to multiply all the given while making sure all the units are consistent. The answer will then be, 24,576cm^3

What is equivalent to 2 (b+3c)

Answers

2b+6c is equivalent to 2(b+3c). Hope that helped!✋

tropical trip punch is made by mixing 4 liters of pineapple juice, 5 liters of orange juice, and 3 liters of ginger ale. what percent of tropical trip is orange juice?

Answers

orange juice : 5 liters
total of all juices : (4 + 5 + 3 ) = 12 liters

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Can somebody possibly solve this???Consider a rectangle, for which perimeter = 2l+2w. perimeter = 2 l + 2 w . If the length of a rectangle is 5 m or less than twice the width, and the perimeter is 44 m long, find its length and width.

Answers

Final answer:

To determine the length and width of a rectangle, we can set up an equation using the given information and solve for the variables. By substituting the width back into the equation for the length, we find that the width is 9 meters and the length is 13 meters.

Explanation:

To solve this problem, we can start by using the given information to create equations. Let's assume that the width of the rectangle is 'w' meters. According to the problem, the length of the rectangle is 5 meters or less than twice the width, so the length can be represented as 2w - 5 meters.

The formula to calculate the perimeter of a rectangle is 2l + 2w, where 'l' is the length and 'w' is the width. We are given that the perimeter is 44 meters, so we can set up the equation as follows:

2(2w - 5) + 2w = 44

Simplifying the equation, we get:

4w - 10 + 2w = 44

Combining like terms, we have:

6w - 10 = 44

Next, we can isolate the variable by adding 10 to both sides:

6w = 54

Finally dividing both sides by 6, we find that:

w = 9

Therefore, the width of the rectangle is 9 meters. Substituting this value back into the equation for the length, we find:

l = 2w - 5 = 2(9) - 5 = 18 - 5 = 13 meters.

Learn more about Solving for the length and width of a rectangle here:

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ΔABC will undergo two transformations to give ΔA′B′C′. Which pair of transformations will give a different image of ΔABC if the order of the transformations is reversed?