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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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Madelyn just graduated from college and owes $15,100 on her student loans. The bank charges a monthly interest rate of 0.2%. If
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Step-by-step explanation:

A suitable calculator or spreadsheet can tell you the payment amount for the given loan values. The annual interest rate will be 12 times the monthly, rate, or 2.4%. The number of monthly payments in 12 years is 12×12 = 144.

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A calculator shows the monthly payment will be about $121.

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If you want to figure this "by hand," the amortization formula is used.

  A = Pr/(1 -(1+r)^-t)

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  A = 15100(0.002)/(1 -(1.002^-144)) ≈ 120.789 ≈ 121

The monthly payment would be $121.

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3 years ago
What equation in slope intercept form represents the line that passes through the points (3, -2) and (1, -3)
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Answer:

What equation in slope intercept form represents the line that passes through the points (3, -2) and (1, -3)

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Step-by-step explanation:

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Scott needs to buy a textbook for his college class. The book costs $221 new. He found a slightly used one online for $201. What
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Step-by-step explanation:

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Divide. 71 ÷ 6 Enter your answer by filling in the boxes. __R__
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Possible answer: 11r8?
3 0
2 years ago
Read 2 more answers
Maths question please help !! thank u :)​
nikdorinn [45]

Answer:

1350m

Step-by-step explanation:

Let the distance ran by Denise, Farah and Elaine be D, F and E meters respectively.

From the given information,

D= ⅔(E +F) -----(1)

E= ½(D +F) -----(2)

Let's get rid of the fraction so the equations are much easier to work with.

From (1):

3D= 2(E +F) <em>(Multiply both sides by 3)</em>

3D= 2E +2F -----(3) <em>(</em><em>Expand</em><em>)</em>

From (2):

2E= D +F -----(4)

Substitute (4) into (3):

3D= D +F +2F

3D -D= 3F

2D= 3F

Given that Farah ran 360m, F= 360.

2D= 3(360)

2D= 1080

D= 1080 ÷2

D= 540

2E= D +F

2E= 540 +360

2E= 900

E= 900 ÷2

E= 450

Total distance the 3 girls ran

= D +F +E

= 540 +360 +450

= 1350m

Alternatively, you could start by substituting F= 360 to equations (1) and (2).

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3 years ago
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