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Vadim26 [7]
3 years ago
10

Prime factorization of 3025 . [including the working pls]

Mathematics
1 answer:
tia_tia [17]3 years ago
4 0

Answer:

So the prime factorization is 5 x 5 x 11 x 11 or in exponent form

5^2 x 11^2

Step-by-step explanation:

break the problem up into factors of 3025.

I started with 121 x 25 . you could use other factors. Neither 121 or 25 are prime so you have to break them down again.

25= 5x5 . Five is prime so you are finished with the 25

121= 11 x 11. Eleven is prime so you are finished with the 121

So the prime factorization is 5 x 5 x 11 x 11 or in exponent form

5^2 x 11^2

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A baker buys 19 apples of two different varieties to make pies. The total cost of the apples is $5.10. Granny Smith apples cost
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The baker bought 7 gala apples, and 12 granny smiths apples

<em><u>Solution:</u></em>

Let "x" be the number of gala apples bought

Let "y" be the number of granny smith apples bought

Cost of 1 gala apple = $ 0.30

Cost of 1 granny smith apple = $ 0.25

<em><u>A baker buys 19 apples of two different varieties to make pies</u></em>

Therefore,

number of gala apples bought + number of granny smith apples bought = 19

x + y = 19 --------- eqn 1

<em><u>The total cost of the apples is $5.10</u></em>

Therefore, we can frame a equation as:

number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10

x \times 0.30 + y \times 0.25 = 5.10

0.3x + 0.25y = 5.1 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

x = 19 - y ---------- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

0.3(19 - y) + 0.25y = 5.1

5.7 - 0.3y + 0.25y = 5.1

5.7 - 0.05y = 5.1

0.05y = 5.7 - 5.1

0.05y = 0.6

y = 12

<em><u>Substitute y = 12 in eqn 3</u></em>

x = 19 - 12

x = 7

Thus the baker bought 7 gala apples, and 12 granny smiths apples

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The distance from the tip of a slice of pizza to the crust is 7 inches.
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Answer:

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Step-by-step explanation:

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