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Hunter-Best [27]
3 years ago
14

For the inverse variation equation xy = k, what is the constant of variation, k, when x = –3 and y = –2?

Mathematics
2 answers:
kumpel [21]3 years ago
4 0

D) 6

xy = k

-3 * -2 = 6

IceJOKER [234]3 years ago
3 0

Answer: Option D) 6

Solution:

xy=k

What is the constant of variation: k=?

when x=-3 and y=-2

Replacing the knwon values in the given equation:

xy=k; x=-3, y=-2

(-3)(-2)=k

Multiplying the values:

6=k

k=6

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Answer:

G. 4/7

Step-by-step explanation:

They both equal to -4 using that value

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Ninety six passengers rode a train. Tickets for regular coach seats are $114. Tickets for sleeper car seats are $295. The receip
MrRa [10]
C = amount of folks buying coach tickets
s = amount fo folks buying sleeper car tickets

we know the train had a total of 96 passengers, so, whatever "c" and "s" are
c + s = 96

we know all tickets sold for all 96 passengers was 19994, so, if "c" folks rode coach, each ticket is 114, thus 114*c is  how much money was from couch, or 114c

if "s" folks rode the sleeper car, we know each ticket is 295 each, so 295*s is how much money was from the sleeper car

we also know, the total for all tickets is 19994

thus    114c + 295s = 19994

thus   \bf \begin{cases}
c+s=96\implies \boxed{s}=96-c\\
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Madison and Allie have a goal to read 3,300 pages together by the end of 3rd quarter. Madison reads 50 page every day Allie read
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Question:

Madison and Allie have a goal to read 3,300 pages together by the end of 3rd quarter. Madison reads 50 page every day Allie reads 10 more pages every day than Madison reads. Write and solve an equation to show how many days it will take them to read 3,300 pages

Answer:

It will take 30 days for them to read 3,300 pages

Step-by-step explanation:

Given:

The total number of pages to be read  =  3300 pages

Number of pages Madison reads  =  50 page every day

Number of pages Allie reads  = 1 0 more pages every day than Madison reads

To Find:

Total Number of days needed to read 3300 pages = ?

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Let the number days they will take be x

then

Number of pages Madison read per day (x)  + Number of pages Allie read per day(x) = 3300

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50x + 60x = 3300

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x =\frac{5500}{110}

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