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Mariana [72]
3 years ago
13

A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0

Answer:

6 meters by 9 meters

Step-by-step explanation:

<u><em>Step 1: Formula for perimeter of rectangle</em></u>

Rectangle's perimeter = 2 (length) + 2 (width)

Rectangle's perimeter = 2 (length + width)

<u><em>Step 2: Find the length and width in terms of x</em></u>

Width = x

Length = 1.5 times width

Length = 1.5x

<u><em>Step 3: Find x</em></u>

Perimeter = 2(length + width)

30 = 2 (1.5x + x)

30/2 = 2.5x

15/2.5 = x

x = 6

<u><em>Step 4: Find the length and width</em></u>

Width = x = 6 meters

Length = 1.5x = 1.5(6) = 9 meters

Therefore, the dimensions of the room are 6 meters and 9 meters.

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Eight hundred tickets were sold for a theater production
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Answer:

280 student tickets

520 adult tickets

Explanation:

I'm guessing this is the question you meant to ask:

Eight hundred tickets were sold for a movie production and the receipts for the performance wear $8600. The tickets for adults and students sold for $12.50 and $7.50, respectively. How many of each ticket were sold?

3 0
3 years ago
What is the anwser to ½ of ½?
Anuta_ua [19.1K]

Hey there!

1/2 * 1/2

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Therefore, your answer is: 1/4


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6 0
2 years ago
What is the distance from (-4, -7) to (4, 8) ?
Mila [183]

Answer:

17

Step-by-step explanation:

We can use this formula:

\sqrt{(x2-x1)^2 + (y2 -y1)^2} where x and y indicate the coordinates of the two points

\sqrt{4-(-4)^2 + (8-(-7)^2} = \sqrt{64 + 225} = \sqrt{289} = 17

4 0
3 years ago
Read 2 more answers
Solve the equation -20=-4x-6x
IrinaK [193]
-20=-4x-6x
4x+6x=20
10x=20
x=20:10
x=2

proof:
-20=-4×2-6×2
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4 0
3 years ago
The mean hours of sleep that students get per night is 7 hours, the standard deviation of hours of sleep is 1.7 hours, and the d
densk [106]

Answer:

c. 3.6 and 10.4 hrs

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean 7, standard deviation 1.7.

For about 95% of students, nightly amount of sleep is between

7 - 2*1.7 = 7 - 3.4 = 3.6 hours

7 + 2*1.7 = 7 + 3.4 = 10.4 hours

So the correct answer is:

c. 3.6 and 10.4 hrs

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3 years ago
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