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kiruha [24]
3 years ago
15

Jacob cut a rectangular piece of wrapping paper to wrap his brother's gift. The piece of wrapping paper had a perimeter of 50 in

ches. The length was 5 less than the width. Write a system of equations to represent the situation and solve the system.
Mathematics
1 answer:
Leona [35]3 years ago
6 0

The length of wrapping paper piece is 10 inches and width is 15 inches.

Step-by-step explanation:

Let,

Length of rectangular piece = x

Width of rectangular piece = y

Perimeter = 50

2(x+y) = 50

Dividing both sides by 2

\frac{2(x+y)}{2}=\frac{50}{2}\\x+y=25\ \ \ Eqn\ 1

x+y=25   Eqn 1

The length was 5 less than the width.

x = y-5   Eqn 2

Putting value of x from Eqn 2 in Eqn 1

(y-5)+y=25\\y-5+y=25\\2y=25+5\\2y=30

Dividing both sides by 2

\frac{2y}{2}=\frac{30}{2}\\y=15

Putting y=15 in Eqn 2

x=15-5\\x=10

The length of wrapping paper piece is 10 inches and width is 15 inches.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11805547
  • brainly.com/question/118412

#LearnwithBrainly

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Write a multiplication equation and a division equation that this diagram could represent.
vivado [14]

Answer:

3 * 18= 54 and 54/18 = 3

Step-by-step explanation:

Given

Sections = 3

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Total\ Measurement=54

Required

Model the scenario

The model of this scenario is:

Sections * Measurement = Total\ Measurements

This gives:

<em />3 * 18 = 54<em> -- This represents the multiplication model</em>

Divide both sides by 18

3 * 18/18 = 54/18

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Answer:

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3 years ago
A random sample of 16 statistics examinations was taken. The average sample score was 76.2 with a sample variance of 144. The 99
dlinn [17]

99% confidence interval for the population average examination score is between a lower limit of 67.35 and an upper limit of 85.05. The correct option is C.

<h3>What is the margin of error in statistics?</h3>

The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

The interval will be calculated as below:-

Confidence interval = mean +/- margin of error (E)

mean = 76.2

variance = 144

sd = sqrt(variance) = sqrt(144) = 12

n = 16

Degree of freedom (df) = n - 1 = 16- 1 = 15

Confidence level (C) = 99% = 0.99

Significance level = 1 - C = 1 - 0.99 = 0.01 = 1%

t-value corresponding to 15 df and 1% significance level is 2.95

The margin of error will be:-

E = t×sd/√n = 2.95 ×  12/√16 = 8.85

The interval will be:-

Lower limit = mean - E = 76.2 - 8.85 = 67.35

Upper limit = mean + E = 76.2 + 8.85 = 85.05

Therefore, the 99% confidence interval for the population average examination score is between a lower limit of 67.35 and an upper limit of 85.05. The correct option is C.

To know more about margin of error follow

brainly.com/question/24289590

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