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Snowcat [4.5K]
3 years ago
15

ASAP PLEASE <3A rectangular garden has length and width as given by the expressions below. Length: 4 − 7(3x + 4y) Width: 3x(−

2y) Write a simplified expression for the perimeter of the rectangle. blank − xblank − y −blank xy
Mathematics
1 answer:
creativ13 [48]3 years ago
4 0

Answer:

  • 8 - 42x - 56y - 12xy

Step-by-step explanation:

<u>Given sides of a rectangle</u>

  • Length: l =4 − 7(3x + 4y)
  • Width: w = 3x(−2y)

<u>Perimeter of rectangle</u>

  • P = 2(l + w)

<u>Using the given values</u>

  • P = 2( 4- 7(3x + 4y) + 3x(-2y)) =
  • 2( 4 - 21x - 28y - 6xy) =
  • 8 - 42x - 56y - 12xy
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Direction: Solve the given problems.
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<h2>○=> <u>Solution (6)</u> :</h2>

Ratio of two numbers = 2:3

The larger number = 6

Let the smaller number be x.

Which means :

=\tt 2 : 3 \:  =  \:  x  : 6

= \tt \frac{2}{3}  =  \frac{x}{6}

=\tt 2 \times 6 = 3 \times x

=\tt 12 = 3x

=\tt x =  \frac{12}{3}

\hookrightarrow\color{plum}\tt \: x = 4

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<h2>○=> <u>Solution (7)</u> :</h2>

36 compared to 6 = \tt \frac{36}{6}

Let the number be x.

Which means :

= \tt \frac{36}{6}  =  \frac{x}{3}

=\tt  \frac{36 \div 2}{6 \div 2}  =  \frac{x}{3}

=\tt  \frac{36}{6}  =  \frac{18}{3}

▪︎Therefore, the fractional number \tt \frac{18}{3} is equal to \tt \frac{36}{6}.

<h2>○=> <u>Solution (8)</u> :</h2>

Number of Rose's for 24 red Rose's = 6

This can be written in a ratio as 24:6

Number of roses = 8

Let the number of red roses for these roses be x.

Which means :

=\tt  \frac{24}{6}  =  \frac{x}{8}

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=\tt 192 = 6x

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▪︎Therefore, 32 red roses are there if there are 8 roses.

<h2>○=> <u>Solution (9)</u> :</h2>

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This can be written in a ratio as 7:2

Number of children in the plaza = 21

Let the number of adults be x.

Which means :

= \tt \frac{7}{2}  =  \frac{21}{x}

=\tt7 \times x = 2 \times 21

=\tt 7x = 42

=\tt x  =  \frac{42}{7}

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<h2>○=> <u>Solution (10)</u> :</h2>

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Cost of 1 pencil :

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Thus, the cost of one pencil = P5

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