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3 years ago

What is the constant of proportionality in the equation 3y = 2x

Mathematics

2 answers:

-BARSIC- [3]3 years ago

8 0

Answer:k = 2/3

Step-by-step explanation:

When a variable y directly relates to another variable x, we can say:

y=kx

Given the equation, we can say

3y=2x

y= 2x/3

Putting the value of y from above discussion

kx = 2x/3

x is being cancelled on both sides of equation

k= 2/3

maria [59]3 years ago

3 0

Answer:

k = 2/3

Step-by-step explanation:

i don’t know how to explain sorry I’m not good at explaining but I hope this helps

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Which statement correctly compares the mean number of students for the data in the plots?

satela [25.4K]

Answer:

"There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."

Step-by-step explanation:

We need to compute the mean for each.

Poplar Middle School:

Lets list the numbers

20,20,20,21,21,21,21,21,22,22,22,22,22,22,22,23,23,23,23,24

The average is sum of all divided by number of numbers, that will be:

435/20 = 21.75

Oak Middle School:

The numbers are:

20,21,21,22,22,23,23,23,23,24,24,24,25,25,26,26,27,27,28,29

The average is sum divided by number of numbers, that will be:

483/20 = 24.15

The difference in mean is:

24.15 - 21.75 = 2.4

We can say, that is about 2 more students in Oak Middle School, correct answer choice is "2nd answer choice" - "There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."

7 0

3 years ago

Is 3 a factor of 43,39,63 write yes or no

inysia [295]

If you mean 433,963 then no as it’s a prime number.

7 0

3 years ago

Write an expression to find the total cost of buying b paperback books and m magazines if magazines cost $4.95 each and paperbac

xxTIMURxx [149]

Answer:

$Total\ cost=7.95b+4.95m$

Step-by-step explanation:

Paperback Books:

Number of books $=b$

Cost of 1 book $=\$7.95$

$Cost\ of\ all\ paperback\ books=cost\ of\ 1\ book\times number\ of\ books\\\\Cost\ of\ all\ paperback\ book=7.95\times b=7.95b$

Magazines:

Number of magazines $=m$

Cost of 1 magazine= $\$4.95$

$Cost\ of\ all\ magazine=cost\ of\ 1\ magazine\times number\ of\ magazine\\\\Cost\ of\ all\ magazines=4.95\times m=4.95m$

$Total\ Cost=Cost\ of\ paperback\ books+Cost\ of\ magazine\\Total\ Cost=7.95b+4.95m$

8 0

3 years ago

You put a fence around the dog pen and fill it with gravel. The fence costs $1.50 per foot. One bag of gravel covers 4 square fe

Juli2301 [7.4K]

$124.00 (36ft of fencingx1.50=$54)(area 80 ft/4=20 bagsx 3.50 = $70) 54 + 70 = $124.00

4 0

3 years ago

Micheal solved this inequality as shown: step 1: -6(x + 3) + 10 < -2 step 2: -6x - 18 + 10 < -2 step 3: -6x - 8 < -2 st

Anastaziya [24]

<h3>Answer: addition property of inequality</h3>

================================================

Explanation:

These are the steps to focus on

step 3: -6x - 8 < -2

step 4: -6x < 6

The move from the third step to the fourth step has us adding 8 to both sides. Therefore, we use the addition property of inequality.

That property has four forms

If $a > b$ then $a + c > b+c$
If $a < b$ then $a+c < b+c$
If $a \ge b$ then $a + c \ge b+c$
If $a \le b$ then $a+c \le b+c$

It's similar to the idea of starting with a = b, then adding c to both sides to get a+c = b+c

We add the same thing to both sides to keep things balanced.

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2 years ago