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Pepsi [2]
3 years ago
8

Cici and Amatina have a lot of stickers. Cici had one-third as many as Amatina had, but then Amatina gave her six stickers, so n

ow Cici has half as many as Amatina. How many stickers did each girl start with?
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0
To answer this item, we let x be the number of stickers Amatina had. With this representation, the number of stickers Cici had can be represented by the expression x/3. The equation that best represent the second scenario is,
                                    (1/2)(x - 6) = x/3 + 6
The value of x from the equation is 54. Therefore, Amatina initially had 54 tickets and Cici initially had 18 stickers. 
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2 years ago
The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
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Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

where b_1 and b_2 are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = \frac{1}{2}(11+12)\times 6

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Area of the rectangle (2) = Length × Width

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Area of the trapezoid (3) = \frac{1}{2}(12+10)\times 11

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Now area of the wall = 69 + 180 + 121

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One tin covers the area = 25 m²

Number of tins required to paint the wall = \frac{\text{Total area}}{\text{Area covered by one tin}}

= \frac{370}{25}

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Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

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3 years ago
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