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Sloan [31]
3 years ago
5

Eliana takes photos and videos on her phone. Let P represent the number of photos and V represent the number of videos that Elia

na can take using her storage space. 15P+70V < 400, Eliana wants to take 12 photos. How many videos at most can she take with the remaining storage space?
Mathematics
2 answers:
Bad White [126]3 years ago
8 0

Answer:

She can take at most 3 videos.

Step-by-step explanation:

Here, P represent the number of photos and V represent the number of videos that Eliana can take using her storage space.

Also, the given inequality that shows this situation is,

15P+70V < 400------(1)

If Eliana wants to take 12 photos.

⇒ P = 12,

From inequality (1),

15\times 12+70V

180+70V

70V

70V

V

Since, the number of videos must be whole number,

Hence, the maximum number of videos she can take is 3. ( By the above inequality )

qaws [65]3 years ago
5 0

P = 12.

So,

15(12) + 70V < 400

V < (400 - 180)/17

V <3.14

So the max number of video can fit is 3.

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1. Dorothy bought a teddy bear and sold it at a 20% profit to Kim. Kim bought a suit costing $100 and dressed the teddy bear up
makkiz [27]

1. Dorothy paid $200 for the teddy bear

2. y is more than x by 33\frac{1}{3} %

Step-by-step explanation:

1. The given is:

  • Dorothy bought a teddy bear and sold it at a 20% profit to Kim
  • Kim bought a suit costing $100 and dressed the teddy bear up in the suit
  • Kim then sold the teddy bear in the suit to Karen for $442
  • Kim made a profit of 30%

We need to find how much Dorothy paid for the teddy bear

Assume that Dorothy bought a teddy bear for $x

∵ Dorothy bought a teddy bear for $x

∵ She sold it at a profit 20% to Kim

By using the ratio method

→  Buying price    :    Profit    :    Selling price

→  100%                 :   20%       :    120% ⇒ (100% + 20%)

→  x                         :                 :    ?

By using cross multiplication  

∴ 100% × Selling price = x × 120%

- Divide both sides by 100%

∴ Selling price = 1.2x

∴ Dorothy sold the teddy bear for $1.2x to Kim

∵ Kim bought a suit costing $100 and dressed the teddy bear

  up in the suit

∴ The cost of the teddy bear = 1.2x + 100

∵ Kim sold the teddy bear in the suit to Karen for $442

∵ Kim made a profit of 30%

By using the ratio method

→  Cost price    :    Profit    :    Selling price

→  100%             :   30%      :    130% ⇒ (100% + 30%)

→  1.2x + 100     :                 :    442

By using cross multiplication  

∴ (1.2x + 100) × 130% =  100% × 422

- Divide both sides by 130%

∴ 1.2x + 100 = 340

- Subtract 100 from both sides

∴ 1.2x = 240

- Divide both sides by 1.2

∴ x = 200

∴ Dorothy bought the teddy bear for $200

Dorothy paid $200 for the teddy bear

2. The given is:

  • x is less than y by 25%
  • Then y is more than x by how many percent

Assume that y is 100%

∵ y = 100%

∵ x is less than y by 25%

∴ x = 100% - 25%

∴ x = 75%

- The percentage of increasing of y = \frac{y-x}{x} × 100%

∵ The percentage of increasing of y = \frac{100-75}{75} × 100%

∴ The percentage of increasing of y = \frac{25}{75} × 100%

∴ The percentage of increasing of y = \frac{1}{3} × 100%

∴ The percentage of increasing of y = 33\frac{1}{3} %

y is more than x by 33\frac{1}{3} %

Learn more:

You can learn more about the ratio in brainly.com/question/4713715

#LearnwithBrainly

6 0
3 years ago
Theres more then one! wich of these numbers are written in scientific notation!
mariarad [96]

Step-by-step explanation:

0.92×10^3

I think it helps you

6 0
2 years ago
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Ede4ka [16]
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2 years ago
Need help with what the answer to this question is
levacccp [35]
The answer is C
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None of the others (D) is incorrect, because we've already chosen C.

A is not because.you have the wrong amount of money divided by the larger number of makers. 

B does not work because the right is markers divided by money. The left had side will have money divided by markers. It won't work. The safest way to  these questions up is to keep the knows on the left and put the unknown on the left with the number it is associated with.
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5 0
3 years ago
Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertis
katovenus [111]

Answer:

The right answer is "0.3193".

Step-by-step explanation:

According to the question,

Mean,

\frac{1}{\lambda}  = 13

\lambda = \frac{1}{13}

As we know,

The cumulative distributive function will be:

⇒ 1-e^{-\lambda x}

hence,

In the first 5 years, the probability of failure will be:

⇒ P(X

                    =1-e^{-(\frac{1}{13} )\times 5}

                    =1-e^(-\frac{5}{13})

                    =1-0.6807

                    =0.3193

3 0
3 years ago
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