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ioda
3 years ago
14

The length of a rectangle is three times its width. The perimeter of the rectangle is 100 inches. What are the dimensions of the

rectangle?
Mathematics
2 answers:
ser-zykov [4K]3 years ago
7 0

Answer:

We have l = 2w and 2l + 2w = 100 inches;

Then 4w + 2w = 100 inches;

6w = 100 inches;

w = 16.6;

l = 3 x 16.6;

l = 49.8 inches;


Step-by-step explanation:


m_a_m_a [10]3 years ago
3 0

Answer:

<h2>The dimensions are 12.5 inches width and 37.5 inches length.</h2>

Step-by-step explanation:

Givens:

  • Length is three times the width, this can be represented as: l=3w
  • The perimeter is 100 inches. The perimeter is expressed as: P=2(l+w)

So, to find the dimensions of the rectangle, that is, the length and width, we have to replace the first equation into the second one:

100=2(3w+w)\\\frac{100}{2}=4w\\w=\frac{100}{8}= 12.5 \ in

The length can be found using the first expression:

l=3(12.5)=37.5

Therefore, the dimensions are 12.5 inches width and 37.5 inches length.

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16 crates to hold all 128  cases of trading cards

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3 years ago
You get in an elevator and go down 8 floors. You exit on the 9th floor. Write and solve an equation to find what floor you got o
AlexFokin [52]

Answer:floor 17

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The perimeter of a rectangular field is 328 yards. If the length of the field is 89 yards, what is its width?
miv72 [106K]

<u>Set up an equation based on the information given</u>

89 + 89 + x + x = 328

<u>Combine like terms</u>

89 + 89 = 178

x + x = 2x

2x + 178 = 328

<u>Solve</u>

2x + 178 = 328

328 - 178 = 150

2x = 150

x = 75

Answer

The width of the rectangular field is 75 yards.

7 0
3 years ago
A scale drawing for a plot of land is shown below.
Vitek1552 [10]

The area of real backyard is 72 square meters.

Step-by-step explanation:

Given,

Length of rectangular backyard = 8 cm

Width of rectangular backyard = 4 cm

According to scale;

2 cm = 3 m

1 cm = \frac{3}{2} = 1.5\ m

Real length of backyard = 8*1.5 = 12 m

Real width of backyard = 4*1.5 = 6 m

Real area of backyard = Length * Width

Real area of backyard = 12*6 = 72m²

The area of real backyard is 72 square meters.

Keywords: area, unit rate

Learn more about areas at:

  • brainly.com/question/12941985
  • brainly.com/question/12943520

#LearnwithBrainly

6 0
3 years ago
The number of hours worked per year per person in a state is normally distributed with a standard deviation of 39. A sample of 1
evablogger [386]

Answer:

The 98% confidence interval for the population mean number of hours worked per year per person is (2146, 2193).

Step-by-step explanation:

The question is incomplete.

The number of hours registered in the sample are:

2051 2061 2162 2167 2169 2171

2180 2183 2186 2195 2196 2198

2205 2210 2211

The sample mean can be calculated as:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{15}(2051+2061+2162+2167+2169+2171+2180+2183+2186+2195+2196+2198+2205+2210+2211)\\\\\\M=\dfrac{32545}{15}\\\\\\M=2169.67\\\\\\

We have to calculate a 98% confidence interval for the mean.

The population standard deviation is know and is σ=39.

The sample mean is M=2169.67.

The sample size is N=15.

As σ is known, the standard error of the mean (σM) is calculated as:

\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{39}{\sqrt{15}}=\dfrac{39}{3.873}=10.07

The z-value for a 98% confidence interval is z=2.326.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=2.326 \cdot 10.07=23.43

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 2169.67-23.43=2146\\\\UL=M+t \cdot s_M = 2169.67+23.43=2193

The 98% confidence interval for the population mean is (2146, 2193).

3 0
3 years ago
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