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Alenkinab [10]
3 years ago
12

PLEASS HHELPPPP

Mathematics
1 answer:
hodyreva [135]3 years ago
6 0
23 degrees fahrenheit
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Find a common denominator for the following fraction pairs
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A) The least common denominator is 12.  Both 4 and 3 go into 12 evenly.
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The combined height of one oak tree and one pine tree is 21 meters. The height of 4 oak trees stacked on top of each other is 24
olasank [31]

Answer:

Height of an oak tree= 9 meters

Height of a pine tree = 12 meters

Step-by-step explanation:

Given:

The combined height of 1 oak tree and 1 pine tree = 21 meters

Height of 4 oak trees = 24 meters more than 1 pine tree

To find the height of 1 pine tree and height of one oak tree.

Solution:

Let the height of one oak tree be = x meters.

Let height of one pine tree = y meters.

Combined height can be given as :

x+y=21-------------[1]

Height of 4 oak trees = 24 meters more than 1 pine tree

The above statement can be given as :

4x=24+y------------[2]

Rearranging equation [2] by subtracting both sides by y.

4x-y=24+y-y

4x-y=24-------------[2]

Adding rearranged equation [2] to [1].

x+y=21

4x-y=24

+--------------------

5x\         = 45

Dividing both sides by 5.

\frac{5x}{5}=\frac{45}{5}

∴ x=9

Plugging in  x=9 in equation [1]

9+y=21

Subtracting both sides by 9.

9-9+y=21-9\\\therefore y=12

Height of an oak tree= 9 meters

Height of a pine tree = 12 meters

3 0
3 years ago
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