when a number is added to 1/5 of itself the result is 24. the equatation that models this problem is n + 1/5 n equals 24. what is the value n

Answers

Answer 1
Answer: If you convert it to decimals you get 1.2n= 24.
Divide both sides by 1.2.

The answer is n=20.
Answer 2
Answer: It is N = 20 sure of it

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For non-zero denominators, simplify: (3a^3-75a)/(a(a+5)(a+5))

Answers

(3a^3-75a)/(a(a+5)(a+5))=(3a(a^2-25) )/(a(a+5)(a+5))=(3a(a - 5)(a+5) )/(a(a+5)(a+5)) =(3 (a - 5) )/( (a+5) )


What value of k makes the trinomial x^2- 10x + k a perfect square?

Answers

Answer: 25

Step-by-step explanation:     (x-a)² = x² - 2ax + a²

  From x² - 10x + k  we deduce that 10x = 2·5x  and a = 5

Then k = 5²2

In a crayon box there are 5 dark colors for every 8 light colors. If there are 20 dark colors, how many light colors are there?

Answers

5x4=20 so 8x4=32 32 light colors in the box
If we write this as a ratio then it would be 5:8. Now since there are 20 dark colors and also 5, what do 5 and 20 have in common... 5 times 4 is 20 so since we multiplied by 4 on dark colors do the same  to the light colors so 8 times 4 = 32. So the answer is 32 light colors

a boat cost 12,050 and decreases in value by 12% per year. How much will the boat be worth after 9 years

Answers

Given:
Cost = 12,050
depreciation rate = 12%

year   beginning value      dep.rate    depreciation  ending value
1        12,050.00               12%         1,446.00    10,604.00
2        10,604.00               12%         1,272.48      9,331.52
3          9,331.52               12%         1,119.78      8,211.74
4          8,211.74               12%            985.41      7,226.33
5          7,226.33               12%            867.16      6,359.17
6          6,359.17               12%            763.10      5,596.07
7          5,596.07               12%            671.53      4,924.54
8          4,924.54               12%            590.94      4,333.60
9          4,333.60               12%            520.03      3,813.56

The boat will be worth $3,813.56 after 9 years.

Depreciation = beginning cost x depreciation rate
Ending cost = beginning cost - depreciation

Depreciation is the wear and tear of an object that decreases its value.

Factor completely 5v^2+5v-100

Answers

I hope this helps you

X=(1)/(2+√(3) )
y=(1)/(2-√(3) )

x+y=

Answers

Answer:

4

Step-by-step explanation:

Simplify x and y by rationalising the denominator of both

To rationalise the denominator multiply the numerator/ denominator by the conjugate of the denominator.

The conjugate of 2 + √(3) is 2 - √(3)

The conjugate of 2 - √(3) is 2 + √(3)

x = (1(2-√(3)) )/((2+√(3))(2-√(3))  ) = (2-√(3) )/(4-3) = 2 - √(3)

y = (1(2+√(3)) )/((2-√(3))(2+√(3))  ) = (2+√(3) )/(4-3) = 2 + √(3)

Thus

x + y = 2 - √(3) + 2 + √(3) = 4