1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrezito [222]
3 years ago
11

=

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
7 0

Answer:

I. L = 17 cm.

II. W = 11 cm.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangle = 56cm

Translating the word problem into an algebraic expression, we have;

L = W + 6 .....equation 1

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

56 = 2(L + W) ......equation 2

Substituting eqn 1 into eqn 2, we have;

56 = 2(W + 6 + W)

56 = 2(6 + 2W)

Opening the bracket, we have;

56 = 12 + 4W

4W = 56 - 12

4W = 44

W = 44/4

W = 11 cm

Next, we would find the length of the rectangle;

From eqn 1;

L = W + 6

L = 11 + 6

L = 17 cm

You might be interested in
It snowed 134.46 inches on Monday and 8.3 inches on Tuesday. How much did it snow on Monday and Tuesday combined?
kkurt [141]

Answer

142.76

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
7x-5y=-15 and -14x+7y=0 Solve by elimination
geniusboy [140]

Answer: (5,10)

Step-by-step explanation:

multiply first equation with 2 and add it to second to eliminate X

7x-5y=-15  //*2

14x-10y=-30

-14x+7y=0

----------------

-3y=-30

y=-30/-3

y=10

7x=50-15

7x=35

x=35/7

x=5

4 0
3 years ago
The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The
zavuch27 [327]

The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x     f(x)

0-3 13

4-7  13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x     f(x)

1.5 13

5.5  13

9.5 10

13.5 11

17.5 0

21.5 3

Start by calculating the mean using:

\bar x = \frac{\sum fx}{\sum f}

This gives

\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}

Evaluate

\bar x = 7.98

The standard deviation is then calculated as:

\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f }}

So, we have:

\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13  * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}

Evaluate

\sigma= \sqrt{30.6496}

Solve

\sigma= 5.54

Hence, the standard deviation is 5.54

Read more about standard deviation at:

brainly.com/question/15858152

#SPJ1

7 0
1 year ago
Write 3.141 in expanded notation
Strike441 [17]
Three and one hundred forty one hundredths <span />
7 0
3 years ago
Read 2 more answers
What would be the slope of the line that passses through 4, 5 and 7, 6
Angelina_Jolie [31]
Use the formula:
y2-y1
———
x2-x1

So for this problem it would be:

6-5
——
7-4

= 1
—
3

Hope this helped, if it did I would appreciate it if you would consider giving me brainliest!
7 0
2 years ago
Other questions:
  • 1. James ran 3 kilometers after school. How many meters did james run? 2. Find the volume of the cube 3 1/2
    8·1 answer
  • What is 309,017 in expanded form
    8·2 answers
  • Martinez purchased a pair of shoes on a web site. The original price of the shoes was $75. She used a coupon code to receive a 2
    5·2 answers
  • Jim Debt was reviewing the total accounts receivable. This month he received $80,000 from Credit customers. This represented 40
    7·1 answer
  • Mark branilest if right and show work
    5·1 answer
  • The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the
    12·2 answers
  • Suppose that weight of adolescents is being studied by a health organization and that the accompanying tables describes the prob
    5·1 answer
  • WILL GIVE BRAINLYEST!!!. Clara visits the aquarium while on vacation. The aquarium is 2 1/2 miles from her hotel. She walks 1/4
    8·1 answer
  • OMG HELP RN
    9·1 answer
  • (WORTH 70 PLS HELP) What percent of the values represented in this box-and-whisker plot are less than 20?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!