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lara [203]
1 year ago
13

An area rug in Rachel's room is shown below. A rectangle that is one hundred forty-four inches long and one hundred eight inches

wide Part A How can you convert the dimensions of the area rug from inches to feet? Use the drop-down menus to explain. the number of inches by to convert to feet. Part B What is the perimeter of the area rug in feet? Enter your answer in the box. feet
Mathematics
1 answer:
ValentinkaMS [17]1 year ago
3 0

Answer:

42 feet

Step-by-step explanation:

1) remeber how 1 foot=12 inches

                         we need to find "x" feet for 144 inches

so

\frac{1}{12}=\frac{x}{144}

2) cross multiply

144=12x

divide both sides by 12

12=x

so 144 inches is 12 feet, we need to do the exact same thing for the width

\frac{1}{12} =\frac{x}{108}

108=12x

9=x

the length is 12 feet and width is 9 feet

to find perimeter:

2(l)+2(w)

2*12+2*9

24+18=42

Hope this helps!

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12) -6n – 20 = -2n +4(1 – 3n)<br> What’s the first step
EastWind [94]

Answer:

n = 3

Step-by-step explanation:

-6n - 20 = -2n + 4 (1-3n)

First distribute the 4 (1-3n)

-6n - 20 = -2n + 4 - 12n

Combine like terms on the right side

-6n - 20 = -14n + 4

Get 'n' on one side by adding -6n to both sides

-20 = -8n + 4

Subtract 4 to both sides

-24 = -8n

Divide -8 to both sides

3 = n

4 0
1 year ago
A solid silver paperweight in the form of a square pyramid is shown below. If silver costs $0.12 per cubic centimeter, how much
Rufina [12.5K]

Answer:

It would cost $232.32, this answer is rounded.

Step-by-step explanation:

The formula for the volume of a square pyramid is:

V=a^2\frac{h}{3}

So its just:

8.8^2\frac{12.5}{3} = 322.67 cm^3

Then you just multiply the volume by the cost per cubic centimetre:

322.67cm^3*$0.12=$38.704

After just multiply the cost of one by how many you want, which is 6:

38/704*6=232.32

4 0
2 years ago
What is the final amount if 784 is decreased by 1% followed by a 4% increase?
Iteru [2.4K]

Answer:

The final amount  if 784 is decreased by 1% followed by a 4% increase is 807.52.

Step-by-step explanation:

General Formula

<em>A way to solve this problem is as follows</em>:

The general formula for this is taking into account that:

\\ percent\;change = \frac{change}{starting\;point}

The <em>starting point</em> is number 784.

The most important key is the solution for this answer is that:

\\ change = starting\;point - x

Where <em>x</em> is a number that we need to find. Then

\\ percent\;change = \frac{starting\;point - x}{starting\;point} [1]

Is 784 increased or decreased after all?

We also need to evaluate the following: if a quantity decreases a percentage, and then increases in another percentage, what is the final percentage? In this case, we have first that 784 decreases by 1% and then increases by 4%. As a result 784 will +4% - 1% = +3%, that is, 784 will increase in 3%.

Finding the result

If 784 increases by 3%, we have:

\\ 3\% = \frac{784 - x}{784}

Which is equal to

\\ 0.03 = \frac{784 - x}{784}

Solving for <em>x</em>, we first multiply by 784 to both sides of the previous formula:

\\ 0.03 * 784 = \frac{784 - x}{784}*784

\\ 0.03 * 784 = (784 - x)*\frac{784}{784}

\\ 0.03 * 784 = (784 - x)*1

\\ 0.03 * 784 = (784 - x)

Remember that if we add, subtract, multiply, divide... to both sides of the equation, we do not "alter" this equation.

Subtracting 784 to both sides:

\\ (0.03 * 784) - 784 = (784 - 784 - x)

\\ (0.03 * 784) - 784 = (0 - x)

\\ (0.03 * 784) - 784 = - x

\\ 23.52 - 784 = - x

\\ -760.48 = - x

Multiplying by -1 to both sides:

\\ -1 * (-760.48) = -1 * (-x)

We have to remember that:

\\ +*+ = +; - * - = +; - * + = -; + * - = -

\\ 760.48 = x

Then

\\ x = 760.48

Therefore, using formula [1], an increase of 3% is

\\ 3\% = \frac{784 - 760.48}{784}

\\ change = 784 - 760.48

\\ change = 23.52

Since an increase of 3% is 23.52, we have to add this to the starting point 784, and finally the amount is 784 + 23.52 = 807.52.

As a result, the final amount if 784 is decreased by 1% followed by a 4% increase is 807.52.  

In a more <em>terse way</em> of solving this problem, we can say that:

Increase of 4% = 784 * 0.04 = 31.36.

Decrease of 1% = 784 * 0.01 = 7.84.

Difference = 31.36 - 7.84 = 23.52.

Then, we need to add this value to 784, and 784 + 23.52 = 807.52 (the same result).

5 0
1 year ago
Grace drew a triangle. It's sides were 12 mm, 10 mm, and 11 mm. It has one obtuse angle and two acute angles. What triangle did
Mariana [72]

Answer:

Scalene triangle

Step-by-step explanation:

scalene triangle is a triangle where the lengths of all three sides are different, it comprises of both obtuse and acute angles,all giving a sum of 180 degrees

4 0
2 years ago
What is another way to write 9x200?
pashok25 [27]
9×2=18. add the tow zeros like this 9×2=18+00=1,800
7 0
1 year ago
Read 2 more answers
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