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bezimeni [28]
3 years ago
8

1. (15 + 70 – 5^2) ) divide (36 – 6) 2. (11 + 22 – 3) divide 3 - 32

Mathematics
2 answers:
Julli [10]3 years ago
8 0

1) 15 + 70 - 25/36-6

  85 - 25/30

= 60/30

=2

2) 11 + 22 - 3/3-32

=30/-29

=- 30/29

velikii [3]3 years ago
7 0

Answer:

1) 15 + 70 - 25/36-6

 85 - 25/30

= 60/30

=2

2) 11 + 22 - 3/3-32

=30/-29

=- 30/29

Step-by-step explanation:

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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

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Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

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Answer:

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Answer & Step-by-step explanation:

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