A room has an area of 60 square meters and a perimeter of 32 meters. What are the length and width of the room?

[tex] \text{The domain}\\2x-6\neq0\ \wedge\ 6x-18\neq0\to x\neq3\\\\\dfrac{x^2}{2x-6}=\dfrac{9}{6x-18}\\\\\dfrac{x^2}{2(x-3)}=\dfrac{9}{6(x-3)}\ \ \ |\cdot6\\\\\dfrac{3x^2}{x-3}=\dfrac{9}{x-3}\iff3x^2=9\ \ \ |:3\\\\x^2=3\to x=\pm\sqrt3 [/tex]

Answer:

A on edge/e2020

Step-by-step explanation:

Answer: Option 4 is correct.

Step-by-step explanation:

Since we have given that

[tex]\dfrac{3.\bar{1}}{1}[/tex]

so, Let x = 3.1111......... (1)

Now, multiply by 10, we get that

10x = 31.1111.............(2)

Now, subtract (2)-(1)

[tex]10x-x=31.1111...-3.1111............\\\\9x=28\\\\x=\dfrac{28}{9}[/tex]

Hence, Option 4 is correct.

Step-by-step explanation:

Answer is the third question

21^2 + 28^2 = Hypotenuse^2

441 + 784 = 1225

sqrt (1225) = 35

hypotenuse = 35

Answer:

a nonprofit organization

Step-by-step explanation:

A non profit organization is an organization that works with humanitary goals, and has non profit characteristics, they can not have a profit from their activities, but are able to gather money and to pay wages to their employees, they can also receive donations and are exempted from paying some kind of taxes.

The correct representation of four and twenty three thousandths in decimal form is 4.023, not 4.23. The second decimal place represents hundredths and the third decimal place represents thousandths.

Damian's notation of four and twenty three thousandths as 4.23 is incorrect. This number should be represented as 4.023. The reason is in the understanding of decimal places. In decimal notation, the first place after the decimal point represents tenths, the second represents hundredths, and the third represents thousandths. Hence, twenty three thousandths is written as 0.023. Damian, therefore, mislocated the decimal point. So, to correct his number, it would be four (the whole number) + twenty three thousandths (0.023) = 4.023.

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The given statement "a stem-and-leaf plot shows the shape of data but not individual values" is true.

A stem-and-leaf plot is a graphical representation of a dataset that shows the distribution of data. It is useful for quickly summarizing and visualizing data, especially for small to moderate-sized datasets.

In a stem-and-leaf plot, the "stem" represents the first digit or digits of the data values, and the "leaves" represent the remaining digits. Each leaf corresponds to a single data value. For example, if the stem is "5" and the leaf is "2", it would represent a data value of 52.

While a stem-and-leaf plot provides information on the shape of the data, such as the range of values and the distribution, it does not show the individual data values directly. Instead, it groups them into bins based on the stem and leaf representation. To get the actual values, one needs to refer to the original dataset.

To learn more about the stem-and-leaf diagram click here:

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It is 9w hope this helps

Answer:

x > 8

Step-by-step explanation:

To isolate the variable, you must follow the order of the operations in reverse: that is, from the sum the opposite operation is the subtraction and from the multiplication the inverse is the division. As first you must undo the sum or subtraction before the multiplication, on both sides of the inequality you subtract 12, with the objective, as it was said, of isolating the variable x using the inverse operations.

-2*x+12 -12 < -4 - 12

Resolving you get:

-2*x < -16

Now, to isolate the variable x, you reapply the inverse operation, in this case the opposite operation of the multiplication.  And ou should keep in mind that if the two members of an inequality are multiplied or divided by the same negative number, the resulting inequality changes direction. For this reason you get:

-2x divided by (-2) > (-16) divided by (-2)

Resolving these accounts, you finally get:

x > 8

Rounding to the nearest centimeter involves adjusting a precise measurement to the nearest whole centimeter mark on a measuring tool. Millimeters and centimeters are appropriate units for measuring small objects, and understanding the conversion between these units is important for accurate rounding.

When you are asked to round to the nearest centimeter, you are being tasked with adjusting a measurement to reduce its precision to the nearest whole number of centimeters. In the context of using a measuring device such as a meterstick, you typically have the ability to measure in centimeters (cm) as well as millimeters (mm), with 10 millimeters making up 1 centimeter. For example, if you have a measurement that falls between the 1.2 cm and 1.3 cm marks, you will evaluate which of those two centimeters marks is closest to your measurement. If your object's measurement to the nearest millimeter is beyond the 1.25 cm mark (or 12.5 mm), you will round up to 1.3 cm; if it's less, you'll round down to 1.2 cm.

It's important to choose an appropriate unit of measurement based on the size of the object being measured. For an item like a paper clip, a large unit such as kilometers or meters would not be practical. Instead, you'll choose between millimeters and centimeters, which are better suited to small objects. When converting measurements from a smaller unit like millimeters to a larger unit like centimeters, you would divide the number by 10, moving the decimal point one place to the left because there are 10 millimeters in 1 centimeter.

2/5 of a circle is equivalent to 40% of the circle. This is determined by multiplying 2/5 by 100%.

In the field of

Mathematics

, a circle is divided into an angle of 360 degrees or 100 percent. If we want to find out what percent of a circle is 2/5 of a circle, we need to perform a simple calculation.

Firstly, note that 1 whole circle (or 360 degrees) is equivalent to 100%.

When we say 2/5 of a circle, we are referring to 2/5 parts of the whole circle.

To find out what percent 2/5 of the circle is, we multiply 2/5 by 100%:

(2/5) * 100% = 40%

This means that 2/5 of a circle is 40% of the whole circle.

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To find the number of containers used, set up a system of equations using the given information. Solve for the number of big and small boxes used, and then divide the total number of boxes by the number of boxes that can be put in one container to find the number of containers.

To find the number of containers used, we need to determine the number of big boxes and small boxes used. Let's assume the number of big boxes used is 'x', and the number of small boxes used is 'y'.

According to the given information, the total number of turkey boxes used is 96. So, we have the equation: x + y = 96.

We also know that in one container, they can put 8 big turkey boxes or 10 small turkey boxes. Using this information, we can create another equation: 8x + 10y = 96.

Solving these two equations will give us the values of 'x' and 'y', which represent the number of big and small boxes used, respectively. Then, we can find the number of containers by dividing the total number of boxes by the number of boxes that can be put in one container.

Answer:

point x and c would switch places and then point n would be at (-3,2) and point z would be al (1,5)