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madreJ [45]
3 years ago
5

Suppose y varies directly with x. if y= 24 when x = 4, what is y when x = 9?

Mathematics
2 answers:
enot [183]3 years ago
7 0

Answer: y=54

Step-by-step explanation: so 24/4 is 6 soooo 9*6=54 ez


ycow [4]3 years ago
5 0

Answer:

y =54

Step-by-step explanation:

We can use the equation y =kx

If we know y and x we can solve fork

24 = k*4

24/4 = k

6 =k

y = 6x

Substitute in 9

y =6*9

y =54


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Plz help question below
bearhunter [10]
Plan A costs a total of $95 since it says $95 for unlimited talk and text.

Plan B:
(.10 x 800) + (.05 x 1000)
The (.10 x 800) represents 10 cents per talk minute for 800 minutes.
The (.05 x 1000) represents 5 cents per text message for 1000 text messages.
Solve:
.10 x 800 = 80
.05 x 1000 = 50
80 + 50 = 130
This means Plan B will cost him $130 under these conditions.

Plan C:
20 + ((.05 x 800)+(.05 x 1000))
The 20 + represents a flat rate of $20 per month.
The (.05 x 800) represents 5 cents per call minute.
The (.05 x 1000) represents 5 cents per text.
Solve:
.05 x 800 = 40
.05 x 1000 = 50
20 + 40 + 50 = 110
This means Plan C will cost him $110 under these conditions.

Plan D:
45 + (.10(800 - 500))
The 45 + represents a flat monthly rate of $45.
The (800 - 500) represents how many minutes he has to pay for with the 500 free.
The .10 is the cost per extra minute.
Solve:
800 - 500 = 300
.10 x 300 = 30
45 + 30 = 75
This means Plan D will cost him $75 under these conditions.

In short:
Plan A- $95
Plan B- $130
Plan C- $110
Plan D- $75 
The least expensive among these is Plan D, which only costs $75 per month.
5 0
3 years ago
The nicotine content in a single cigarette of a particular brand has a distribution with mean 0.9 mg and standard deviation 0.1
Ad libitum [116K]

Answer:

The answer to the question is;

The probability that the resulting sample mean of nicotine content will be less than 0.89 is 0.1587 or 15.87 %.

Step-by-step explanation:

The mean of the distribution = 0.9 mg

The standard deviation of the sample = 0.1 mg

The size of the sample = 100

The mean of he sample = 0.89

The z score for sample mean is given by

Z =\frac{X-\mu}{\sigma/ \sqrt{n} } where

X = Mean of the sample

μ = Mean of the population

σ = Standard deviation of the population

Therefore Z = \frac{0.89-0.90}{0.1/\sqrt{100} } = -1

From the standard probabilities table we have the probability for  a z value of -1.0 = 0.1587

Therefore the probability that the resulting sample mean will be less than 0.89 = 0.1587 That is the probability that the mean is will be less than 0.89 is 15.87 % probability.

             

7 0
3 years ago
12km<br>Radius=<br>Diameter:​
vovikov84 [41]
Answer: 24km

Explanation: radius is half of the diameter so we just multiply by 2 to get a diameter
7 0
3 years ago
A cylinder has a base radius of 5 inches and a height of 6 inches. What is its volume in cubic inches, to the nearest tenths pla
yuradex [85]

Answer:

V≈471.24

or to the nearest tenth is

471.2

7 0
2 years ago
Read 2 more answers
Which equation results from adding the equations in this system?
Diano4ka-milaya [45]

Answer:

  • D. - 5x = - 10

Step-by-step explanation:

<u>Given equations:</u>

  • -8x+8y = 8
  • 3x-8y=-18

<u>Add together:</u>

  • -8x + 8y + 3x - 8y = 8 - 18
  • - 5x = - 10

Correct option is D

7 0
3 years ago
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