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nataly862011 [7]
3 years ago
10

Hope to find help thank you!!

Mathematics
2 answers:
frozen [14]3 years ago
5 0

Answer:

The answer is B: (81m²n⁵)/8


Step-by-step explanation:

Find the attachment below for a step by step explanation.

lora16 [44]3 years ago
3 0

<u>Answer:</u>

\frac{81m^2n^5}{8}

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

We are given the following expression and we are to simplify it:

\frac { (3 m^ {-1} n^2 )^ 4} {( 2m ^ {-2} n ) ^3}

Expanding the terms in both the numerator and the denominator by multiplying them with their whole powers to get:

= \frac{3^4m^{-4}n^8}{2^3m^{-6}n^3}

=\frac{81m^{(-4+6)}n^{(8-3)}}{8}

Cancelling all the like terms to get:

=\frac{81m^2n^5}{8}

Therefore, option B is the correct answer.

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Evaluate 3a + 5a2 when a = 2. Question 1 options: 26 44 484 106
sukhopar [10]

Plug in 2 wherever you see 'a'

3(2) + 5(2)(2)

1. 3×2 = 6, so:

6 + 5(2)(2)

2. 5×2=10, 10×2=20, so:

6 + 20

The final answer is 26.

6 0
3 years ago
2. SALES TAX Olivia purchases a DVD movie priced
Nataly_w [17]

Answer:

$23.42

Step-by-step explanation:

  • To find the sales tax, you need to 6.5% of $21.99
  • To do this you have to times need to turn 6.5% into a decimal, which is 0.065 (i moved decimal point 2 numbers to the left)
  • then you do 0.065 × 21.99 which equals 1.42935
  • now you have to add 21.99 with 1.42935 = 23.41935
  • because of the context of the question, you need the answer needs to be rounded up to the nearest hundredth.
  • making the answer $23.42 total
8 0
3 years ago
Y is inversely proportional to x.
Inessa [10]

Answer:

1. xy = 63

2. y = 3

Step-by-step explanation:

Given

Variation: inverse Proportion

y = 7, x = 9

Required

- Write an equation connecting y and x

- Find y when x = 21

Given that thee variation is inversely proportional;

This implies that

y\ \alpha\ \frac{1}{x}

Convert variation to equation

y\ = \frac{k}{x} ----------- Equation 1

Where k is the constant of variation

Substitute 7 for y and 9 for x in equation 1

7 = \frac{k}{9}

Multiply both sides by 9

9 * 7 = 9 * \frac{k}{9}

63 = k

Substitute 63 for k in equation 1

y = \frac{63}{x}

Multiply both sides by x

x * y = \frac{63}{x} * x

xy = 63

Hence, the equation connecting x and y is xy = 63

Solving for when x = 21

Substitute 21 for x in the above equation

21 * y = 63

Divide both sides by 21

\frac{21 * y}{21} = \frac{63}{21}

y = 3

4 0
3 years ago
8\3as a mixed number
Ber [7]

2 2/3

hope i helped. (:

7 0
3 years ago
Read 2 more answers
What ratio is equvalent to 6 over 12​
Ber [7]

Hello from MrBillDoesMath!

Answer:

1/2

Discussion:

6/12 =                            => as 12 = 6*2

6 /( 6*2)  =                      => cancel 6's in num and denom.

1/2

Thank you,

MrB

6 0
3 years ago
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