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Vladimir [108]
2 years ago
11

Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.

Mathematics
1 answer:
Reika [66]2 years ago
6 0
N; n+1; n+2 - 3 consecutive numbers

n(n + 1) = (n + 2)² - 19    |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²

n² + n = n² + 4n + 4 - 19    |subtract n² from both sides

n = 4n - 15    |subtract 4n from both sides

-3n = -15    |divide both sides by (-3)

n = 5

n + 1 = 5 + 1 = 6

n + 2 = 5 + 2 = 7

Answer: 5; 6; 7.
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9/6=x/10 what is x? How to figure it out.
skelet666 [1.2K]

Answer:

x=15

Step-by-step explanation:

(10*9)/6=10*x/10

90/6=x

15=x

4 0
3 years ago
One garden had 5 times as many raspberry bushes as a second garden. After 22 bushes are transplanted from the first garden to th
Aleonysh [2.5K]

Let the number of raspberry bushes in one garden = x

And the number of raspberry bushes in second garden = y

Garden one has 5 times as many raspberry bushes as second garden,

So the equation will be,

x = 5y -------(1)

If 22 bushes were transplanted from garden one to the second, number of bushes in both the garden becomes same,

Therefore, (x - 22) = (y + 22)

x - y = 22 + 22

x - y = 44 ------(2)

Substitute the value of x from equation (1) to equation (2)

5y - y = 44

4y = 44

y = 11

Substitute the value of 'y' in equation (1),

x = 5(11)

x = 55

Therefore, Number of bushes in garden one were 55 and in second garden 11 originally.

Learn more,

brainly.com/question/12422372

5 0
3 years ago
The tens digit of a two-digit number is 3 less than the units digit. Find the original number, if the sum of that number and the
cricket20 [7]

Answer:

58

Step-by-step explanation:

8-5=3

58+85=143

4 0
2 years ago
Read 2 more answers
Which of the following expressions are equivalent to 48a^3-75a? Select all that apply.
Nadusha1986 [10]

Answer:

  • Answer 2) 3a(16a^2-25)
  • Answer 4) 3a(4a+5)(4a-5)
  • Answer 5) -3a(25-16a^2)
  • Answer 6) -3a(5-4a)(5+4a)

Step-by-step explanation:

The factors of each term are ...

  • 2·2·2·2·3·a·a·a
  • 3·5·5·a

So, the greatest common factor is 3a. Factoring that out gives ...

  3a(16a^2 -25) . . . . . . matches answer 2

The factor in parentheses is the difference of squares, so it can be factored. You have memorized the form for the difference of squares ...

  p^2 -q^2 = (p -q)(p +q)

so you know the factoring of this with p=4a and q=5 will be ...

  3a(4a -5)(4a +5) . . . . . . matches answer 4

__

Any <em>pair</em> of factors can be multiplied by -1 without changing the value of the expression. So, two more answers are equivalent:

   (-3a)(-(16a^2 -25) = -3a(25 -16a^2) . . . . . . matches answer 5

  (-3a)(-(4a -5)(4a +5) = -3a(5 -4a)(5 +4a) . . . . . . matches answer 6

5 0
3 years ago
Read 2 more answers
Help me please help me
Andrews [41]

Answer:

e= 543

Step-by-step explanation:

Hello!

902-e=359, so 902-359=e.

<h3>8  9 12</h3><h3>902 </h3><h3>359</h3><h3>------</h3><h3>543</h3>
4 0
2 years ago
Read 2 more answers
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