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enot [183]
3 years ago
11

The cost of a ticket increases by 10% to £18.15 Work out the original cost.

Mathematics
2 answers:
Licemer1 [7]3 years ago
7 0

Answer:

£16.50

Step-by-step explanation:

x \times (1+\frac{10}{100} )=18.15

x \times \frac{110}{100} =18.15

\frac{110}{100} x=18.15

1.1x=18.15

\frac{1.1x}{1.1}=\frac{18.15}{1.1}

x=16.5

anyanavicka [17]3 years ago
7 0

Answer: £16.50

Step-by-step explanation:

Let the original cost be x

x + 10/100x = 18.15

1.1x = 18.15

x = 16.50

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3 years ago
The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid
MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = x

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = 12+x

As we know:

Area\ of\ rectangle=length\times breadth

85=(12+x)x\\\\85=12x+x^{2} \\

Subtracting both sides by 85

x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5

As width can never be in negative, hence  width of a rectangular wall of a barn = x = 5 feet

Length of a rectangular wall of a barn = 12+x=12+5=17\ feet

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

                 

4 0
3 years ago
Y decreased by 9is 8
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8 0
3 years ago
The perimeter of a triangle is 47 feet. One side of the triangle is one foot longer than the second side. The third side is four
Ugo [173]

Answer:

The lengths of all three sides (in feet) are = 15, 14, and 18 feet

Step-by-step explanation:

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Let the one side be 'x'

<em>Side 1 = x</em>

One side of the triangle is one foot longer than the second side

<em>Side 2 = x - 1</em>

<em>The third side is four feet longer than the second side</em>

<em>Side 3 = (x - 1) + 4</em>

<em />

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<em>47 = x + (x - 1) + (x - 1) + 4</em>

<em>47 = x + x - 1 + x - 1 + 4</em>

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substitute for x in each of the sides

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6 0
3 years ago
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