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nalin [4]
3 years ago
14

Find the number of possible outcomes. A jewelry store sells gold and

Mathematics
1 answer:
Dmitry [639]3 years ago
7 0

Answer:

The number of possible outcomes are 8.

Step-by-step explanation:

Given that,

A jewelry store sells gold and  platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or  diamond gemstone.

We need to calculate the number of possible outcomes

Using given data,

Outcomes = (gold, ruby), (gold,sapphire), (gold,emerald), (gold,diamond),(platinum, ruby), (platinum,sapphire), (platinum,emerald), (platinum,diamond)

So, Outcomes = 8  

Hence, The number of possible outcomes are 8.  

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Answer: $0.14 per fluid ounce.

Step-by-step explanation: $4.48 divided by 32 = $0.14

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3 years ago
Reflexive property of equality 3x-1 = __ ? geometry help? use indicated property to complete each statement help
AnnZ [28]
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Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary
AlexFokin [52]

The sum of the first 8 terms is 2.51 to the nearest hundredth

Step-by-step explanation:

In the geometric sequence there is a constant ratio between each two consecutive terms

The formula of the sum of n terms of a geometric sequence is:

S_{n}=\frac{a(1-r^{n})}{1-r} , where

  • a is the first term
  • r is the constant ratio between the consecutive terms

∵ The sequence is 6 , -5 , 25/6 , .............

∵ -5 ÷ 6 = \frac{-5}{6}

∵ \frac{25}{6} ÷ -5 = \frac{-5}{6}

- There is a constant ratio between the consecutive terms

∴ The sequence is a geometric sequence

∵ The first term is 6

∴ a = 6

∵ The constant ratio is \frac{-5}{6}

∴ r =  \frac{-5}{6}

∵ We need to find the sum of 8 terms

∴ n = 8

- Substitute the values of a, r and n in the rule above

∴ S_{8}=\frac{6[1-(\frac{-5}{6})^{8}]}{1-(\frac{-5}{6})}

∴ S_{8}=2.511595508

- Round it to the nearest hundredth

∴ S_{8}=2.51

The sum of the first 8 terms is 2.51 to the nearest hundredth

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

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4 years ago
A planter is shaped like a regular hexagon. The side lengths are 2 meters and the apothem is √3 meters. What is the area of the
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The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2 + 5
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1. Given that the width of the rectangle is x, and the area of the rectangle may be represented by the equation x^2 + 5x = 300, we can solve this equation for the width (x) as such:

x^2 + 5x = 300

x^2 + 5x - 300 = 0 (Subtract 300 from both sides)

(x - 15)(x + 20) = 0 (Factorise x^2 + 5x - 300)

From this, we get: x = 15 or x = -20

Since the width must be a positive length (ie. more than 0), -20 would be an invalid answer in the given context and thus the width is given by x = 15.

2. If we know that the length is 5 inches more than the width, we simply need to add 5 to the width we found above to obtain the length:

Length = x + 5

Length = 15 + 5 = 20

Thus, the width of the rectangle is 15 inches and the length of the rectangle is 20 inches.

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