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tigry1 [53]
3 years ago
15

The number of fruit snacks available per student varies inversely with the number of students. There are 10 fruit snacks for eac

h student when there are 6 students.
Which choice shows the inverse variation equation and the number of fruit snacks per student for 24 students?
Mathematics
2 answers:
Ivanshal [37]3 years ago
8 0

Answer:

<h2>The answer is = 2.5</h2>

Step-by-step explanation:

As per the given condition, the number of fruit snacks varies inversely with the number of students. Hence, it can be written that, The number of fruit snack = \frac{k}{The number of students}; where k is a constant.

It is given that for 6 students there are 10 fruit snacks.

Hence, k = 10 \times 6 = 60

If the number of students will be 24 then, the number of fruit snacks will be = \frac{60}{24} = 2.5

The number of fruit snacks per student is 2.5 for 24 students.

natka813 [3]3 years ago
5 0

Answer:

240 fruit snacks

Step-by-step explanation:

if there's 10 for every student you do 10 times 24 to get 240

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Step-by-step explanation:

If we have  5 different cards (1,2,3,4,5) the number of favorable outcomes (that is: The first card, is bigger than the second only by one) is 4, and the total number of outcomes is 20 according to:

Variations of 5 elements in group of 2

V=5!/(5-2)! = 5*4*3!/3!=20

So if we have 4 possible outcomes, out of 20 (total outcomes) the probability will be 4/20 = 1/5

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which is most likely the correlation coefficient for the set of data shown? A.-0.65 B.-0.19 C.0.19 D.0.75
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Answer:

The answer is C: .19

Step-by-step explanation:

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The quadratic function g(x) = ax^2 + bx + c has the complex roots (-5+9i) and (-5-9i). (you may assume that a = -1) what is the
gavmur [86]

Answer:

  • b = -10, c = -106

Step-by-step explanation:

<h3>Given</h3>

<u>Quadratic function </u>

  • g(x) = ax^2 + bx + c

with the roots:

  • (-5+9i) and (-5-9i)
<h3>To find </h3>
  • b and c if a = -1
<h3>Solution</h3>

<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>

  • (-5 + 9i) + (-5 - 9i) = -b/-1
  • -10 = b
  • b = -10

And

  • (-5 + 9i)(-5 - 9i) = c/-1
  • (-5)² - (9i)² = -c
  • 25 - 81(-1) = -c
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  • c = -106

g(x) = -x² -10x - 106

4 0
3 years ago
Consider the equation:
Yanka [14]

Answer:

see explanation

Step-by-step explanation:

(1)

x² - 6 = 2 - 18x ( add 18x to both sides )

x² + 18x - 6 = 2 ( add 6 to both sides )

x² + 18x = 8

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(9)x + 81 = 8 + 81

(x + 9)² = 89

(2)

(x + 9)² = 89 ( take square root of both sides )

x + 9 = ± \sqrt{89} ( subtract 9 from both sides )

x = - 9 ± \sqrt{89}

8 0
2 years ago
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