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forsale [732]
3 years ago
5

At Shannon's Beading Boutique, 6 out of the 20 beads on clearance are plastic. What percentage of beads on clearance are plastic

?
Write your answer using a percent sign (%).

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
3 0

Answer:

  30%

Step-by-step explanation:

(plastic beads)/(beads on clearance) = 6/20 = 30/100 = 30%

_____

A percentage is a representation of a fraction that has 100 as a denominator. The percent sign (%) is just a shorthand way to write "divided by 100" (/100). The word "percent" means "per hundred", or "divided by 100."

Here, the given fraction (6/20) can be multiplied by 5/5 to make it have a denominator of 100.

spayn [35]3 years ago
3 0

Answer:

30%

Step-by-step explanation:

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7 over 2 as a mixed number ​
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cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0
Dafna11 [192]

Answer:

Radius=2.09 cm

Height,h=14.57 cm

Step-by-step explanation:

We are given that

Volume of cylinderical shaped can=200 cubic cm.

Cost of sides of can=0.02 cents per square cm

Cost of top and bottom of the can =0.07 cents per square cm

Curved surface area of cylinder=2\pi rh

Area of circular base=Area of circular top=\pi r^2

Total cost,C(r)=0.02\times 2\pi rh+2\pi r^2\times 0.07

Volume of cylinder,V=\pi r^2 h

200=\pi r^2 h

h=\frac{200}{\pi r^2}

Substitute the value of h

C(r)=0.02\times 2\pi r\times \frac{200}{\pi r^2}+2\pi r^2\times 0.07

C(r)=\frac{8}{r}+0.14\pi r^2

Differentiate w.r.t r

C'(r)=-\frac{8}{r^2}+0.28\pi r

C'(r)=0

-\frac{8}{r^2}+0.28\pi r=0

0.28\pi r=\frac{8}{r^2}

r^3=\frac{8}{0.28\pi}=9.095

r=(9.095)^{\frac{1}{3}}=2.09

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C''(r)=\frac{16}{r^3}+0.28\pi

Substitute the value of r

C''(2.09)=\frac{16}{(2.09)^3}+0.28\pi=2.63>0

Therefore,the product cost is minimum at r=2.09

h=\frac{200}{\pi (2.09)^2}=14.57

Radius of can,r=2.09 cm

Height of cone,h=14.57 cm

4 0
3 years ago
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