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lisabon 2012 [21]
3 years ago
5

a bakery used 8 1/2 cups of flour to make a full sized cake. if they made a cake that was three-quarter the sized, how many cups

of flour have they used?
Mathematics
1 answer:
faltersainse [42]3 years ago
4 0

Answer:

6 \frac{3}{8}

Step-by-step explanation:

Let's start by turning 8 1/2 into an improper fraction, which would be 17/2. To find the amount of cups needed for a cake that is 3/4 of a full cake, we multiply 17/2 by 3/4.

\frac{17}{2} *\frac{3}{4} = \frac{17*3}{2*4} = \frac{51}{8}

Turn the fraction into a mixed number:

6 \frac{3}{8}

That should be the correct answer. Hope this helps!!!

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Answer:

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Step-by-step explanation:

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2 years ago
In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of t
lidiya [134]

Answer:

Perimeter = 98 cm

Area = 596 cm^{2}

Step-by-step explanation:

Please refer to the attached image for the resultant figure when a quadrant of circle with radius 7 cm is cut from a rectangle of sides 30 cm and 25 cm.

Perimeter of a figure = Sum of all its sides + Perimeter of circle

Quadrant of a circle is one fourth of a circle and there are 4 such quadrant of a circle, so eventually there is one complete circle in this figure.

The sides of this resultant figure = 30 - 14 = 16 cm

and 25 - 14 = 11 cm

So perimeter of this figure = 16 + 11 + 16 + 11 + Perimeter of circle

\Rightarrow 54 + 2 \pi r\\\Rightarrow 54 + 2 \times \dfrac{22}{7} \times 7\\\Rightarrow 54 + 44 = 98 cm

To find area of this figure = Area of rectangle - Area of circle

Area of rectangle = Length \times Width

\Rightarrow 30 \times 25 = 750\ cm^{2}

Area of circle = \pi r^{2}

\Rightarrow \dfrac{22}{7} \times 7^{2} = 154\ cm^{2}

So, area of figure = 750 - 154 = 596 cm^{2}

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How do you know when to put an open or closed circle when graphing inequalities?
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Step-by-step explanation:

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