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eduard
3 years ago
12

7-11 mini-mart started a promotion where you can buy a refillable 40 oz. Soda for a one-time price $6.00, then fill the cup for

$0.79 per year for a year or you can buy their filled disposable 32 oz. Soda cup for $1.69. How many sodas do you need to buy to make it work buying the refillable cup?
Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0

Answer:

7 cups of soda

Step-by-step explanation:

If we call the number of cups you buy by "x", we have that the price for the refillable cup P1 is:

P1 = 6 + 0.79*x

And the price for the other option is:

P2 = 1.69*x

To find how many sodas do you need to buy to make it work buying the refillable cup, you just need to equate the two prices and find the value of x:

P1 = P2

6 + 0.79*x = 1.69*x

0.9*x = 6

x = 6/0.9 = 6.6667 cups

So, you need to buy at least 7 cups of soda to make the refillable cup worth it.

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3 years ago
If 3x - (7 - x) = 29, find the value of 6x.<br><br> A 6x=54<br> B 6x=60<br> C 6x=46<br> D 6x=45
Katyanochek1 [597]

Answer:

6x=54

Step-by-step explanation:

3x - {7-x} =29

open bracket

3x - 7 +x =29

collect like terms and equate

4x =29 +7

4x = 36

divide both sides by 4

x = 9

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. . 6x= 6 × 9 = 54

6x= 54

5 0
2 years ago
Let x denote the courtship time for a randomly selected female–male pair of mating scorpion flies (time from the beginning of in
gavmur [86]

Complete Question:

a) Is it plausible that X is normally distributed?

b) For a random sample of 50 such pairs, what is the (approximate) probability that the sample mean courtship time is between 100 min and 125 min?

Answer:

a) It is plausible that X is normally distributed

b) probability that the sample mean courtship time is between 100 min and 125 min is 0.5269

Step-by-step explanation:

a)X denotes the courtship time for the scorpion flies which indicates that is a real - valued random variable, and since normal distribution is a continuous probability distribution for a real valued random variable, it is plausible that X is normally distributed.

b) Probability that the sample mean courtship time is between 100 min and 125 min

\mu = 120\\n = 50

P(x_{1}  < \bar{X} < x_{2} ) = P(z_{2}  < \frac{x_{2}- \mu }{SD} ) - P(z_{1}  < \frac{x_{2}- \mu }{SD})

SD = \sqrt{\frac{\sigma^{2} }{n} } \\SD = \sqrt{\frac{110^{2} }{50} } \\SD = 15.56

P(100 < \bar{X}

From the probability distribution table:

P(z_{2}  < 0.32 ) = 0.6255\\ P(z_{1}  < -1.29) = 0.0986

P(100 < \bar{X}

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3 years ago
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andrezito [222]

Step-by-step explanation:

(x1,y1) = (-1,-1)

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m = (y2 - y1)/(x2 - x1)

m = (-2 + 1)/(2 + 1)

m = -1/3

Option → C

8 0
2 years ago
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Aneli [31]

Answer:

a. 1/2

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c. 2.5

Step-by-step explanation:

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8/4 is 2 so he does one hair cut every two hours

so you know how many he can do in 2 hours so add it up. It’s going to be 2 people in four hours so it will be half a hair cut in 5 hours

8 0
2 years ago
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