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trasher [3.6K]
3 years ago
13

A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square pr

ism. 2 balls are inside of a cylinder and 2 balls are inside of a square prism. The cylinder has a height of 6 inches and a radius of 1.5 inches. The square prism has base lengths of 3 inches and the prism has a height of 6 inches. The company wants to use the package that has the least amount of wasted space. The company should choose
Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0

Answer:

the prism because it has approximately 14.1 in.3 less wasted space than the cylinder. I'm sorry this is late but hope it helps!

Step-by-step explanation:

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20≥8+4.99x please I could get an F.
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Answer:

\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{1200}{499}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.40480\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{1200}{499}]\end{bmatrix}

Step-by-step explanation:

20\ge \:8+4.99x\\Switch\:sides\\8+4.99x\le \:20\\\mathrm{Multiply\:both\:sides\:by\:}100\\8\cdot \:100+4.99x\cdot \:100\le \:20\cdot \:100\\Refine\\800+499x\le \:2000\\\mathrm{Subtract\:}800\mathrm{\:from\:both\:sides}\\800+499x-800\le \:2000-800\\Simplify\\499x\le \:1200\\\mathrm{Divide\:both\:sides\:by\:}499\\\frac{499x}{499}\le \frac{1200}{499}\\Simplify\geq \\x\le \frac{1200}{499}

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Constance wants to purchase an school jacket. She saw the same jacket at a few stores. Store A had the jacket for 15% off the or
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Store A will be the better buy.

The price will be $53.70 after sales tax at store A.

Step-by-step explanation:

Price of Jacket at store A = $59.60

Discount = 15%

Discount Amount = \frac{15}{100}*59.60\\

Discount Amount = 0.15*59.60=\$8.94

Price after discount = Original price - Discount amount

Price after discount = 59.60 - 8.94 = $50.66

Price of Jacket at store B = $50.99

The price at store A becomes less than store B after discount, therefore, buying from store A is better.

Sales tax = 6%

Sales tax amount = \frac{6}{100}*50.66

Sales tax amount = 0.06*50.66=\$3.0396

Price after sales tax = Discount price at store A + Sales tax amount

Price after sales tax = 50.66 + 3.0396 = $53.6996

Rounding off to nearest hundredth;

Price after sales tax = $53.70

The price will be $53.70 after sales tax at store A.

Keywords: percentage, addition

Learn more about percentages at:

  • brainly.com/question/10557938
  • brainly.com/question/10600222

#LearnwithBrainly

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