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pickupchik [31]
2 years ago
6

Finch divides 12 peaches and 18 Nectarines into the same number of equal groups. How many possible groups of each fruit can he m

ake? How many are in each group?
Mathematics
1 answer:
Naya [18.7K]2 years ago
7 0

This question is based on prime factorization method.

As given there are 12 peaches and 18 nectarines

Factors of 12 are : 2,3,4,6 and 12

Factors of 18 are : 2,3,6,9 and 18

As mentioned, fruits are divided into the same number of equal groups, so the groups can be formed as-

1. 6 groups of peaches with 2 in each and 6 groups of nectarines with 3 in each,

2. 3 groups of peaches with 4 in each and 3 groups of nectarines with 6 in each.

3. 2 groups of peaches with 6 in each and 2 groups of nectarines with 9 in each.




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Jane spent 3 hours exploring a mountain with a dirt bike. First, she rode 55 miles uphill. After she reached the peak she rode f
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Answer:

Her speed on the summit was 35 mph.

Step-by-step explanation:

Her speed on the summit was "x" mph while her speed while climbing was "x - 10" mph. The distance she rode uphill was 55 miles and on the summit it was 28 miles. The total time she explored the mountain was 3 hours. Therefore:

time uphill = distance uphill / speed uphill = 55 / (x - 10)

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Since her speed on the uphill couldn't be negative the speed on the summit can only be 35 mph.

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3 years ago
0=-20.5x+16.35x-0.1245
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The value of x in the given equation -20.5x+16.35x -0.1245 = 0\\ is 0.03

<u>Step-by-step explanation:</u>

The given equation is that -20.5x+16.35x -0.1245 = 0\\

<u>The steps to be followed to solve the equation are :</u>

Add the like terms together to reduce the equation in a simplified form.

Here, there are two x terms and they must be reduced to a single term.

For this, add the both terms together so that the equation is simplified into one x term and a constant term.

⇒ (-20.5x+16.35x) - 0.1245 = 0

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To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.

⇒ 4.15x -0.1245+0.1245 = 0.1245

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