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Darya [45]
3 years ago
5

A rectangle has a perimeter of 52 inches. The length of the rectangle is 4 inches more than its width. What is the length of the

rectangle?
Mathematics
1 answer:
erica [24]3 years ago
8 0

Answer: The length of the rectangle is 15 inches

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The perimeter of a rectangle is expressed as 2 length + 2 width

Perimeter = 2(L + W)

The rectangle has a perimeter of 52 inches. It means that

2(L + W) = 52

L + W = 52/2 = 26 - - - - - - - 1

The length of the rectangle is 4 inches more than its width. It means that

L = W + 4

Substituting L = W + 4 into equation 1, it becomes

W + 4 + W = 26

2W = 26 - 4 = 22

W = 22/2 = 11

L = W + 4 = 11 + 4 = 15

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(07.02) Simplify (3x − 5) − (4x + 6). (1 point) −x −11 x − 11 −x + 11 x + 11
swat32
(3x − 5) − (4x + 6)
to simplify combine like terms
= (3x - 4x) + (-5 - 6)
= -1x - 11 (same as -x - 11)

ANSWER: -1x - 11 (first choice)

Hope this helps! :)
3 0
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As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of peopl
erma4kov [3.2K]

Answer: 24.9793

Step-by-step explanation:

Given : The director randomly selects 64 different 24-hour periods and determines the number of admissions for each.

For this sample, he calculated a mean  \overlien{x}=396 and a standard deviation of 100.

The 95% confidence interval results in an interval of 396 \pm 24.9793

We know that the confidence interval for population mean is given by :_

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By comparing this to the given interval , we find that the margin of error = 24.9793

5 0
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How much time has passed from the first clock to the second clock?
bonufazy [111]

Answer:

Step-by-step explanation:

Time for first clock is 8:34

Time for second clock is 11:48

subtract them: 11 hrs. 48 min.

                      - 8 hrs. 34 min.

                      _____________

                        3 hrs. 14 min.

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What is the location of the point on the number line that is of the way from
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Step-by-step explanation:

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5 0
4 years ago
Read 2 more answers
#4 home do I find which one it is?
lina2011 [118]
\bf \begin{array}{lllll}
solutions&graphs&slopes\\
----&----&----\\
\textit{exactly one}&
\begin{array}{llll}
\textit{the two lines intersect}\\
\textit{at one point}
\end{array}&\textit{different slopes}\\\\
infinitely\quad many&
\begin{array}{llll}
\textit{the two lines coincide}\\
\textit{one is right on top}\\
\textit{ of the other}
\end{array}&
\begin{array}{llll}
\textit{equal slopes}\\
\textit{equal y-intercepts}
\end{array}
\end{array}

\bf \textit{no solution}\qquad\quad &\textit{lines are parallel} \qquad &
\begin{array}{llll}
\textit{equal slopes}\\
\textit{different y-intercepts}
\end{array}
\end{array}

for example, let's look at the first set

y+3x =5   or  y = -3x+ 5
and               y = -3x + 2
                    y =  m  + b

the slopes are equal, the y-intercepts differ
that means, they're just parallel lines, no solution
8 0
4 years ago
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