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mr Goodwill [35]
3 years ago
15

The cake store is having a 10%, percent off sale on all of its cakes. If the cake you want regularly costs $6, how much would yo

u save with the discount?
Mathematics
2 answers:
Jlenok [28]3 years ago
8 0
$5.40 would be how much you pay
sleet_krkn [62]3 years ago
3 0
Here is a pro tip! When taking 10% of anything move the decimal back ONCE. The number you get is 10% of that number. You then take that number and subtract it by your original number if you want to know how much it will cost if it was 10% off. 

The reason why that works is because to take 10% of something you would need to multiply it by 0.1, which is the same as 1/10 (which is also the same as dividing the number by 10). 

So you take 10% of $6.00. It's $0.60. 
Subtract that from your original amount.

 $6.00
-$0.60

I'll let you do that one, but the answer comes out to be: 

$5.40

Now to answer the question of this problem (the previous steps were if they asked for the price, but in this case you could've stopped at the 10% part) 

You save $0.60.
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A sphere and a cylinder have the same radius and height. The volume of the cylinder is . Amie found the volume of the sphere. He
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Amie's error while measuring the volume of a sphere is that <u>Amie should have multiplied 54 by 2/3</u>. Thus, the <u>first option</u> is the right choice.

In the question, we are given that a sphere and a cylinder have the same radius and height.

We assume the radius of the sphere to be r, and its height to be h.

Now, the height of a sphere is its diameter, which is twice the radius.

Thus, the height of the sphere, h = 2r

Given that the sphere and the cylinder have the same radius and height, the radius of the cylinder is r, and its height is 2r.

The volume of a sphere is given by the formula, V = (4/3)πr³, where V is its volume, and r is its radius.

Thus, the volume of the given sphere using the formula is (4/3)πr³.

The volume of a cylinder is given by the formula, V = πr²h, where V is its volume, r is its radius, and h is its height.

Thus, the volume of the given cylinder using the formula is πr²(2r) = 2πr³.

Now, to compare the two volumes we take their ratios, as

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= {(4/3)πr³}/{2πr³}

= 2/3.

Thus, the volume of the sphere/the volume of the cylinder = 2/3,

or, the volume of the sphere = (2/3)*the volume of the cylinder.

Given the volume of the cylinder to be 54 m³, Amie should have multiplied 54 by 2/3 instead of adding the two.

Thus, Amie's error while measuring the volume of a sphere is that <u>Amie should have multiplied 54 by 2/3</u>. Thus, the <u>first option</u> is the right choice.

Learn more about volumes at

brainly.com/question/12398192

#SPJ4

For the complete question, refer to the attachment.

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