What property is 6+0=6

The denominator of a fraction is two more than the numerator. If both numerator and denominator are decreased by six, the simpli

ira [324]

Answer:

$\dfrac{40}{42}$

Step-by-step explanation:

Let the numerator of the fraction=x

Since the denominator of a fraction is two more than the numerator.

Denominator=x+2

The fraction is therefore:

$\dfrac{x}{x+2}$

If both numerator and denominator are decreased by six, the fraction becomes:

$\dfrac{x-6}{x+2-6}$

The simplified result is $\dfrac{17}{18}$

Therefore:

$\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40$

Substituting x=40 into the initial fraction

$\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}$

Therefore, the original fraction is $\dfrac{40}{42}$

4 0

2 years ago

Theo, Nancy, and Mary each drove separately to meet at Approximately how

Step2247 [10]

Mary's house is approximately 49.73 miles from her grandmother's house.

The distances the three drove were;

Mary drove for 49.73 miles, Theo drove 50 miles and Nancy drove 53.299 miles.

Explanation:

The given triangle has a 13 mile long adjacent side, a 48 mile long opposite side and the distance of Mary's route is the hypotenuse. As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
Assume the hypotenuse of the triangle measures x miles. According to Pythagoras theorem, x = √(13² + 48²) , x = √169 + 2,304 x = √2,473 = 49.729. Rounding this off, we get Mary's route was 49.73 miles long.
Nancy drove √2,840 miles = 53.2916 miles.
So Mary drove the shortest distance of 49.73 miles, second shortest was Theo who drove for 50 miles and the longest was Nancy who drove for 53.299 miles.

8 0

2 years ago

Read 2 more answers

Help pleaseee it’s a quiz<br> 35 points

nekit [7.7K]

Answer:

what do you need help with

Step-by-step explanation:

6 0

2 years ago

Pls help me, its not hard

natulia [17]

Answer:

1. y = -x + 3

2. y = x - 3

3. y = 3x + 1

4. y = -3x - 3

Step-by-step explanation:

Hello! sorry, I just saw your message on the question I answered before asking for help so here you go, these are the answers, hope this helps.

Pls mark me brainliest if you can:)

3 0

2 years ago

In a four year period, about 80,000 acres of coastal wetlands in the United States are lost each year. What integer represents t

klemol [59]

Answer:

-320000

Step-by-step explanation:

Given

Lost Land = 80,000 acres yearly

Duration 4 years

Required

The total change

Represent the total change with y;

y is calculated as thus;

$y = Lost\ Land * Duration$

$y = -80,000 acres * 4$

$y = -320000\ acres$

<em>Hence, a total of 320000 acres were lost during the period</em>

7 0

2 years ago