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2 years ago

The length of a rectangle is eight more than triple the width. If the perimeter is 168 inches, find the dimensions.

Mathematics

1 answer:

defon2 years ago

6 0

Answer:

P= 2(3W + 7) + 2(W) = 110.

P= 6W + 14 + 2W = 110.

= 8W + 14 = 110.

= 8W = 110 - 14 = 96

W = 96/8 = 12- inches.

Now solve for (L) by L = 3W + 7 = 3(12) + 7 = 36 + 7 = 43- inches

7=43 inches if this help.can u mark me brainliest

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katen-ka-za [31]

Answer:

c=√2

Step-by-step explanation:

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3 years ago

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9 burgers and 1 doughnut cost $31.30. 3 doughnuts and 6 burgers cost $26.70. Find the cost of 2 burgers.

kirill [66]

Step-by-step explanation:

Let assume that

Cost of 1 burger = $ x

Cost of 1 doughnuts = $ y

According to statement, 9 burgers and 1 doughnut cost $ 31.30

$\begin{gathered}\sf \: 9x + y = 31.3 \\ \\ \end{gathered}$

$\begin{gathered}\sf\implies \sf \: y = 31.3 - 9x - - - (1) \\ \\ \end{gathered}$

According to statement again, 3 doughnuts and 6 burgers cost $ 26.70

$\begin{gathered}\sf \: 6x + 3y = 26.7 \\ \\ \end{gathered}$

$\begin{gathered}\sf \: 3(2x + y) = 26.7 \\ \\ \end{gathered}$

$\begin{gathered}\sf \: 2x + y = 8.9 \\ \\ \end{gathered}$

On substituting the value of y from equation (1), we get

$\begin{gathered}\sf \: 2x + 31.3 - 9x = 8.9 \\ \\ \end{gathered}$

$\begin{gathered}\sf \: 31.3 - 7x = 8.9 \\ \\ \end{gathered}$

$\begin{gathered}\sf \: - 7x = 8.9 - 31.3 \\ \\ \end{gathered}$

$\begin{gathered}\sf \: - 7x = - 22.4 \\ \\ \end{gathered}$

$\begin{gathered}\bf\implies \: x = 3.2 \\ \\ \end{gathered}$

So,

Cost of 2 burgers = 3.2 × 2 = <u>$ 6.4</u>

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1 year ago

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Answer:

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Step-by-step explanation:

This is calculated as:

Length of Tom's pencil - Length is Ellen's pencil

Length of Tom's pencil: 5x+25cm long.

Length of Ellen's pencil : 2x+15cm long.

(5x + 25)cm - (2x + 15)cm

5x + 25 - 2x - 15

5x - 2x + 25 - 15

3x + 10 cm

Therefore, Tom's pencil is 3x + 10cm longer is than Ellen's.

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