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mrs_skeptik [129]
3 years ago
15

The Jones family and the Smith family both went out for a night at the movies. The Jones family bought 5 drinks and 2 bags of po

pcorn for a total of $18.75. The Smith family bought 4 drinks and 6 bags of popcorn for a total of $31.50.
How much does each bag of popcorn cost?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0
It's simple. You have to subtract FIRST 18.75-5=13.75 for the Jones Family. Then you divide 13.75 by 2 bags of popcorn which equals $6.87 for the Jones Family.

For Smith Family, subtract 31.50-4=27.50. Then you divide 27.50 by 6 bags of popcorn which equals $4.58 


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Using the rational root theorem, it is found that your friend is correct.

<h3>What is the rational root theorem?</h3>
  • It is a theorem that states that for a polynomial with integer coefficients, with q being the factors of the leading coefficient and p being the factors of the constant, every <u>possible rational root</u> is the format \frac{p}{q}.

In this problem:

  • The leading coefficient is 1, hence it's only factor is q = 1, thus guaranteeing that every possible rational zero is an integer, which means that your friend is correct.

To learn more about the rational root theorem, you can take a look at brainly.com/question/10937559

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2 years ago
Jernel has to figure out the area of her square garage. she knows that one side of the garage is equal to the length of her rabb
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Answer: 100 square units.

Step-by-step explanation:

Given: Jernel has to figure out the area of her square garage.

She knows that one side of the garage is equal to the length of her rabbit pen.

Now, the length of the rabbit pen = 10 units

Then , the length of the garage will be 10 units

Now, Area of square = \text{(side)}^2=10^2=100\text{units}^2

Hence, the area of the garage = 100 square units.

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3 years ago
In 79 CE, a volcano erupted near Pompeii. Within a day, the city was buried under nine feet of ash. How many inches of ash burie
larisa86 [58]
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3 0
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A student researcher works at ski resort. For a student project, they would like to know whether the proportion of skiers on a p
Alex73 [517]

Answer:

One sample test of proportions

Step-by-step explanation:

Which test is most appropriate to test whether the proportion of skiers is not 0.50?

Since the test says to test whether the proportion of skiers is not 0.50, then here we will be studying just only the promotion of skiers without the comparison with snowboarders.

We have been given an hypothesized promotion and the test says to test against this proportion, so the appropriate test to use here is the one sample test of proportions

5 0
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If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the v
pochemuha

Answer:

V'(t) = -250(1 - \frac{1}{40}t)

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V = 5000(1 - \frac{1}{40}t )^2  , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = 2(5000)(1 - \frac{1}{40} t)d/dt (1 - \frac{1}{40}t )

V'(t) = 2(5000)(1 - \frac{1}{40} t)(-\frac{1}{40} )

When we simplify the above, we get

V'(t) = -250(1 - \frac{1}{40}t)

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

4 0
3 years ago
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