Devon is trying to find the unit price on a 6-pack of energy drinks on sale for $2.99. His sister says that at that price,
each energy drink would cost just over $2.00
. Is she correct and how do you know? If she is not, how would
Devon’s sister find the correct price?

Answers

Answer 1

Answer: No, she's not. If each energy drink's unit cost was just over $2.00, and there are 6 drinks in a pack, then that's at least $12.00 right there, but the entire 6-pack is on sale for only $2.99. She should find the correct price by dividing $2.99/6, resulting in about $0.50 per drink

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Which equation below would be parallel to the line y - 2x = 8?*O y = 2x + 5O y = -2x + 8O y = 10x - 3O y = 6x + 2
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If a business made $85,000 in seven months, how much money will the business make in one year?

Answers

$145,714.28 because you divide 85,000 dollars by 7 then you multiply that answer by 12

Write the vertex form equation for this parabola: Focus (3,-9), Directrix X=-3

Answers

Y=KX+M
-9=(-3/9)*-3+m
-9=1+M
M=-10

Y=(-3/9)-10 is the answer

Given a normal distribution with a mean of 50 and a standard deviation of 4, 5% of the values are less than what value?

Answers

Answer:

15.5

Step-by-step explanation:

Final answer:

In a normal distribution with a mean of 50 and standard deviation of 4, 5% of the values would be less than 43.42.

Explanation:

In a normal distribution, 5% of the values being less than a certain value corresponds to a z-score of -1.645. The formula for a z-score is Z = (X - μ)/σ, where Z is the z-score, X is the value in the dataset, μ is the mean, and σ is the standard deviation.

To solve for X, we use the formula X = Z*σ + μ. Substituting the values for Z (-1.645), σ (4), and μ (50), it gives:

X = (-1.645)*4 + 50 = 43.42

So, in a normal distribution with a mean of 50 and a standard deviation of 4, approximately 5% of the values would be less than 43.42.

Learn more about Normal Distribution here:

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What two number mutiply to -240 but add up to 8

Answers

Let us assume the two unknown numbers to be "x" and "y".
Then
xy = -240
x = - (240/y)
And
x + y = 8
Now let us put the value of x in the second equation. We get
x + y = 8
-( 240/y) + y = 8
y^2 - 240 = 8y
y^2 - 8y - 240 = 0
y^2 - 20y + 12y - 240 = 0
y(y - 20) + 12(y - 20) = 0
(y - 20) (y + 12) = 0
So we can see that the unknown number y can have two values and hence the unknown number will also have two values.
When
y - 20 = 0
y = 20
Then
xy = - 240
20x = - 240
x = -12
So we can see that when y is equal to 20 then x is equal to -12 and when y is equal to -12 then x is equal to 20. So the two numbers are 20 and -12.

Answer:

20 and 10

Step-by-step explanation:

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