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3 years ago

Express the following fraction in simplest form using only positive exponents. 4(k)^4/3k9

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

6 0

Answer:

4k^13/3

Step-by-step explanation:

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The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed 2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

7 0

3 years ago

4 x 5 - (2² - 2) =? <br> (18 ÷ 3) + (3² - 7) =?

OverLord2011 [107]

4x5-(2 (2) - 2 ) = 14
(18/ 3) + (3 (2) - 7) 8

7 0

3 years ago

Which pair of polygons is congruent?

erik [133]

Answer:

Step-by-step explanation:

Polygon 3 and 5 are congruent cause they have the same length of side

4 0

3 years ago

Please help!!!! i will give brainliest

FromTheMoon [43]

Answer:

The volume of a cylinder:

$V \approx 150.796$ $ft^3$

Step-by-step explanation:

To find the volume of a cylinder, you need the this formula:

$V = \pi r^2h$

-Use the given height and radius for the formula:

$V = \pi 4^2 3$

-Then, solve the formula:

$V = \pi \times 4^2 \times 3$

$V = \pi \times 16 \times 3$

$V = \pi \times 48$

$V = 48\pi \approx 150.796$

So, the volume of a cylinder is approximately $150.796$ $ft^3$ .

7 0

3 years ago

An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represent

olya-2409 [2.1K]

Answer:

the fourth one

Step-by-step explanation:

every 2 hours will be a positive line segment relating to the 7 meters give you the point of 14 every 4 hours

5 0

2 years ago

Read 2 more answers