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enot [183]
3 years ago
11

What value of n makes the equation true?

Mathematics
2 answers:
kotykmax [81]3 years ago
6 0

Answer:

n = 10

Step-by-step explanation:

(2x⁹yⁿ) * (4x²y¹⁰) = 8 x¹¹ y²⁰

use the rules of exponents to simplify the expression.

2¹ x⁹ yⁿ * 4¹ x² y¹⁰

use the commutative property of multiplication

2¹ * 4¹ x⁹ x² yⁿ y¹⁰

add exponents of the same base:

8 x⁹ ⁺ ²  y ⁿ ⁺ ¹⁰

back to original equation:

8 x⁹ ⁺ ²  y ⁿ ⁺ ¹⁰ =  8 x¹¹ y²⁰

therefore

the value of n = 10

goldenfox [79]3 years ago
4 0

Answer:

n=10

Step-by-step explanation:

You need n to be 10 because: y^20= (y^10)^2

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Two consecutive numbers whose squares differ by 25
yaroslaw [1]
<span>An example of this might be 7 and 8. 7 multiplied by 7 to find the square root is 59, and 8 multiplied by 8 to find the square root is 64. 64 subtract 49 equals 25, so there you have your answer.</span>
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3 years ago
What percent of the total players scored 31-40 points during November
Tomtit [17]

Answer:

40%

Step-by-step explanation:

4÷10x100=40

As you have 10 players total and 4 players scored between 31 and 40 points

6 0
3 years ago
I need to find the least common denominator of x+2/x^2+2x-3 , x-7/x^2+5x+6
grin007 [14]

Answer:

(x + 3)(x - 1)(x + 2)  

Step-by-step explanation:

The fractions are:  

\dfrac{x + 2}{x^{2} + 2x - 3} \text{ and } \dfrac{x - 7}{x^{2} + 5x + 6}

Factor each denominator  

x^{2} + 2x - 3 = (x + 3)(x - 1)\\x^{2} + 5x + 6 = (x + 3)(x + 2)

We must find the least common multiple of the denominators.  We take the maximum power of each separate factor.

      Factors of first fraction = (x + 3) × (x - 1)

Factors of second fraction = (x + 3)             × (x + 2)

                                   LCM = (x + 3)(x - 1)(x + 2)

The lowest common denominator of the two fractions is (x + 3)(x - 1) (x + 2).

4 0
3 years ago
A box office sold 147,523 tickets for an auto race.
Marysya12 [62]

Answer:

78,799 children's tickets

Step-by-step explanation:

147,523 total tickets, 68,724 adult tickets

Subtract to find amount of children's tickets:

147,523-68,724 = 78,799

5 0
3 years ago
Variable a is 4 more than variable b. Variable a is also 1 less than b. Which of the following pairs of equations best models th
Elis [28]
B=a+4 that is what the answer will be.
4 0
3 years ago
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