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ValentinkaMS [17]
2 years ago
6

A solid silver paperweight in the form of a square pyramid is shown below. If silver costs $0.12 per cubic centimeter, how much

would it cost to manufacture 6 paperweights?

Mathematics
1 answer:
Rufina [12.5K]2 years ago
4 0

Answer:

It would cost $232.32, this answer is rounded.

Step-by-step explanation:

The formula for the volume of a square pyramid is:

V=a^2\frac{h}{3}

So its just:

8.8^2\frac{12.5}{3} = 322.67 cm^3

Then you just multiply the volume by the cost per cubic centimetre:

322.67cm^3*$0.12=$38.704

After just multiply the cost of one by how many you want, which is 6:

38/704*6=232.32

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The ratio of the lengths of corresponding parts in two similar solids is 5:1,
vlabodo [156]
The ratio of the surface areas of two similar solids can be computed by squaring the given ratio of the corresponding sides. For this given,
                                r = (5:1)^1
                               r = 25:1

Thus, the ratio of the surface areas of the similar solids is 25:1. 
7 0
2 years ago
Read 2 more answers
Jason is designing the packaging for a new brand of snack crackers. To fit on shelves, the package must not be more than 8 1/2 i
drek231 [11]

Answer:

Step-by-step explanation:

8 1/2 inches  = \frac{17}{2} inches

To fit on shelves, the package must not be more than 8 1/2 inches tall, it means the height of the package can be at \frac{17}{2} inches

The box must be able to hold 100 cubic units of crackers. it means the volume of the box is 100 cubic units.

The base of the package to be squared

And we have the formula:

V = h*S (Area of the base)

=> S = V/h = 100 :  \frac{17}{2} = \frac{200}{17}  

=> the side of square: \sqrt{\frac{200}{17} }

The dimensions for Jason's design are:

The height: \frac{17}{2} inches  

The length and width: \sqrt{\frac{200}{17} }

6 0
2 years ago
Mason used a 30% coupon to buy a new computer. After the discount, the cost of the computer was $728.
shtirl [24]

Answer:

The original price of computer is $ 1040

Solution:

Given that, Mason used a 30% coupon to buy a new computer

After the discount, the cost of the computer was $728

To find: original price of computer

From given question,

price after discount = $ 728

discount = 30 % of original price

Let "x" be the original price of computer

price after discount = original price - discount price

Step-by-step explanation:

5 0
1 year ago
Which expressions are equivalent to 2(b+3c)2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis ?
lianna [129]

Answer:

<h2><em>B. (b+3c)+(b+3c) </em></h2><h2><em>C. </em><em>2(b)+2(3c)</em></h2>

Step-by-step explanation:

Given this expression 2(b+3c), its equivalent expression is derived by simply opening up the bracket as shown below;

Open the parenthesis by multiplying the constant outside the bracket with all the variables in parenthesis.

= 2(b+3c)

=  2(b)+ 2(3c)

= 2b +2*3*c

= 2b +6c

It can also be written as sum of b+3c in 2 places i.e (b+3c)+(b+3c) because multiplying the function b+3c by 2 means we are to add the function by itself in two places.

<em>Hence the equivalent expression are (b+3c)+(b+3c) and 2(b)+2(3c) or 2b+6c</em>

6 0
2 years ago
A veterinarian treated 7 dogs, 13 cats, 4 horses, and 3 ferrets. What percentage of his patients were small animals?
arlik [135]

As per your defention, horses are the only thing considered "not small".  To find the percentage, you take the number of what you are trying to find the percentage of divided by the total number.


So, 7 dogs + 13 cats + 3 ferrets = 23 Small animals

7 dogs + 13 cats + 3 ferrets + 4 horses = 27 total animals.


So,

\frac{23}{27}*100

The reason we multiply by 100 is because the division gives us a decimal, and a percentage is a part out of 100.

So by doing the calculation we get

85.18%

6 0
2 years ago
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