Elenas bed measures 3‘ x 6‘ on the scale drawing what are the actual measurements of her bed

1 answer:

4 0

Using proportions, supposing a scale of 1 inch = 3 feet, the actual measurements of her bed are given by: 9 ft x 18 ft.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using basic arithmetic operations such as multiplication or division, from the relations built in the problem.

One example of application of proportions is for scale problems, as the actual scale and the drawing length are compared to find the actual length of the object drawn.

In the context of this problem, the scale is given by:

1 inch = 3 feet.

The drawn length of the bed is given by:

3 inches x 6 inches.

Hence the actual length is given by:

9 feet x 18 feet.

As:

3 x 3 = 9.

6 x 3 = 18.

<h3>What is the missing information?</h3>

The scale of the drawing is missing, hence we are going to suppose that it is 1 inch = 3 feet.

More can be learned about proportions at brainly.com/question/24372153

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Solve the following system of equations , and find the ordered pair. X =-y-6 and -7x +6y=-10

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Given:

There are given the equation:

$\begin{gathered} x=-y-6...(1) \\ -7x+6y=-10...(2) \end{gathered}$

Explanation:

From the equation (1):

Put the value of x into the equation (2):

So,

From the equation (2):

$\begin{gathered} \begin{equation*} -7x+6y=-10 \end{equation*} \\ -7(-y-6)+6y=-10 \\ 7y+42+6y=-10 \\ 13y=-10-42 \\ 13y=-52 \\ y=-4 \end{gathered}$

Now,

Put the value of y into the equation (1):

So,

From the first equation:

$\begin{gathered} \begin{equation*} x=-y-6 \end{equation*} \\ x=-(-4)-6 \\ x=4-6 \\ x=-2 \end{gathered}$

Final answer:

Hence, the ordered pair of the solution is shown below:

$(-2,-4)$

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Anna35 [415]

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