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Flauer [41]
2 years ago
13

A blue spruce grows an average of 6 inches per year and a hemlock grows an average of 4 inches per year.

Mathematics
2 answers:
natita [175]2 years ago
7 0

Answer:

It will take 12 years for the trees to be at the same height.

Step-by-step explanation:

Colt1911 [192]2 years ago
7 0

Answer:

12 years

Step-by-step explanation:

blue spruce = 0.5 ft/yr & 4 ft tall

Hemlock = 0.33 ft/yr & 6 ft tall

x = number of years

spruce       hemlock

(4+0.5x)   =   (6+0.33x)

0.17x = 2

12 years

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Sharon can buy cards in boxes of 12 and stamps in packages of 20 what is the least number of boxes of cards she should buy?
-Dominant- [34]

The least number of boxes Sharon should buy is 5 boxes.

Step-by-step explanation:

Given,

Number of cards in box = 12

Number of stamps in packages = 20

We will find least common multiple of 12 and 20.

12 = 12,24,36,48,60,.....

20 = 20,40,60,80,....

The LCM of 12 and 20 is 60.

Now,

12 cards = 1 box

60 cards = \frac{60}{12}\ boxes

60 cards = 5 boxes

The least number of boxes Sharon should buy is 5 boxes.

8 0
3 years ago
Hey i need help with system of equations.<br> i uploaded a doxs file you can onpen it in google docs
Art [367]

Answer:

<h2>PART A: x = 15 and y = -8</h2><h2>PART B: x = -5 and y = 3</h2>

Step-by-step explanation:

PART A:

The first equation is x + y = 7\\y = 7 - x  .............(a)

The second equation is 3x - 2y = 1\\2y = 3x - 1

Putting the value of y from (a) in the above equation, we get 2y = 3x - 1\\2(7 - x) = 3x - 1\\14 - 2x = 3x - 1\\x = 15

From (a) we get y = 7 - x = 7 - 15 = -8

PART B:

Here the system of equations are -x + 4y = 17........(a) and 3x - 5y = -30.........(b)

From (a) we get, x = 4y - 17

Putting the above value of x in (b) we get, 3x - 5y = -30\\3(4y - 17) - 5y = -30\\12y - 51 - 5y = -30\\7y = 21\\y = 3

Hence, x = 4y - 17 = 12 - 17 = -5

3 0
3 years ago
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3 years ago
What is the center of a circle circumscribed about a triangle with vertices (−2, 2) ( 2, −2)and (6, 2)? A. (2, 2) B. (2, 0) C. (
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6 0
3 years ago
Expand completely using the Binomial Theorem<br> (3y - x)^4
AleksAgata [21]

Answer:

In standard form it is x^4 - 12x^3y + 54x^2y^2 - 108x y^3 + 81y^4.

Step-by-step explanation:

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= 81y^4 - 108y^3x + 54y^2x^2 - 12yx^3 + x^4

4 0
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