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lesya [120]
3 years ago
13

In the equation x=−3y, what is the unit rate?

Mathematics
1 answer:
Paul [167]3 years ago
6 0
The unit rate is -1/3.

In direct variation, y varies directly to x by a constant ratio k.

Its equation looks like this: y = kx ; where k stands for the constant ratio.

In the above equation. x = -3y, it should be converted to the proper equation. both sides must be transferred and its accompanying sign must be changed.

3y = -x
3y/3 = -x/3
y = (-1/3)x
where: y is the total value; -1/3 is the unit rate; and x is the number of units


 
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Answer:

The number of trees in each row is  21.

Step-by-step explanation:

Let us assume the number of trees in each row  = m

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or, total number of trees in each row = (10 +m)

Now, Total number of Trees = Number of Rows x Number of trees in 1 row

⇒ 651  = m (m + 10)

651 = m^2 + 10m\\\implies  m^2 + 10m - 651 =0\\or,   m^2 + 31m  21m - 651 =0\\or, m(m +31) -21(m+31) =0\\\implies (m +31) (m-21) = 0

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⇒ m= -31, or m = 21

Now, as m = The number of trees in each row, so m ≠ -31

So, m =  21

Hence, the number of trees in each row is m = 21.

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