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Zepler [3.9K]
3 years ago
13

There are 6 packages that store 30 baseball cards. What is the number of cards per package? What is the constant of proportional

ity.
(A.) 5 cards per package; the constant of proportionality is 5.


(B.) 6 cards per package ; the constant of proportionality is 6.

(C.) 24 cards per package ; the constant of proportionality is 24.

(D.) 30 cards per package ; the constant of proportionality is 30.
Mathematics
2 answers:
Nataly_w [17]3 years ago
7 0

Answer: Yes, it is A!

Step-by-step explanation:

it is a because, you can have 30 baseball cards, and six packages, so imagine this has six bags full of a certain amount of candy, and there is 30 pieces of candy, and do you want to separate them into an even amount, so this would be 30÷6= ? The? Would be 5 as in to say The constant of proportionality would also be 5.

vekshin13 years ago
3 0
Answer:

Option A is the correct answer.

Explanation:

 There are 6 packages that store 30 baseball cards.

  Number of cards in 1 package = 30/6 = 5

  Let us consider a as number of packages and b as number of cards.

  We have equation for number of cards,

                      b = 5 a

          The constant of proportionality = 5

Option A is the correct answer.
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Ooh, fun

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the sum is -7/10
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from the 2nd equation we can take the cube root of both sides to get
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so now rewrite 1st equation as
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subsituting -1/5 for ar
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add (2r²+2r+2) to both sides
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use them to solve for the value of a
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\frac{-1}{5r}=a
try for r=2 and 1/2
a=\frac{-1}{10} or a=\frac{-2}{5}


test each
for a=-1/10 and r=2
a+ar+ar²=\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}
it works

for a=-2/5 and r=1/2
a+ar+ar²=\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}
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both have the same terms but one is simplified

the 3 numbers are \frac{-2}{5}, \frac{-1}{5}, and \frac{-1}{10}
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