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Masteriza [31]
2 years ago
9

2miles to 3,333 yards

Mathematics
1 answer:
Delicious77 [7]2 years ago
8 0
2 miles = 10560 ft.
3333 yards = 9999 ft.
I'm presuming this is supposed to be a ratio so:
10560/9999
or
320/303

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What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minu
Sunny_sXe [5.5K]

Answer:

<h2>\frac{(x + 5)(x + 2)}{ {x}^{3} - 9x }</h2>

First option is the correct option.

Step-by-step explanation:

\frac{2x + 5}{ {x}^{2} - 3x }  -  \frac{3x + 5}{ {x}^{3} - 9x }  -  \frac{x + 1}{ {x}^{2} - 9 }

Factor out X from the expression

\frac{2x + 5}{x(x - 3)}  -  \frac{3x + 5}{x( {x}^{2}  - 9)}  -  \frac{x + 1}{ {x}^{2}  - 9}

Using {a}^{2}  -  {b}^{2}  = (a - b)(a + b) , factor the expression

\frac{2x + 5}{x(x - 3)}  -  \frac{3x + 5}{x(x - 3)(x + 3) }  -  \frac{x + 1}{(x - 3)(x + 3)}

Write all numerators above the Least Common Denominators x ( x - 3 ) ( x + 3 )

\frac{(x + 3) \times (2x - 5) - (3x + 5) - x \times (x + 1)}{x(x - 3)(x + 3)}

Multiply the parentheses

\frac{2 {x}^{2}  + 5x + 6x + 15 - (3x + 5) - x(x + 1)}{x(x - 3)(x + 3)}

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

\frac{2 {x}^{2}  + 5x + 6x + 15 - 3x - 5 - x \times (x + 1)}{x(x - 3)(x + 3)}

Distribute -x through the parentheses

\frac{2 {x}^{2}  + 5x + 6x + 15 - 3x - 5 -  {x}^{2} - x }{x(x - 3)(x + 3)}

Using {a}^{2}  -  {b}^{2}  = (a + b)(a - b) , simplify the product

\frac{2 {x}^{2}  + 5x + 6x + 15 - 3x - 5 -  {x}^{2}  - x}{x( {x}^{2}  - 9)}

Collect like terms

\frac{ {x}^{2}  + 7x + 15 - 5}{x( {x}^{2}  - 9)}

Subtract the numbers

\frac{ {x}^{2}  + 7x + 10}{ x({x}^{2}   - 9)}

Distribute x through the parentheses

\frac{ {x}^{2}  + 7x + 10}{ {x}^{3}  - 9x}

Write 7x as a sum

\frac{ {x}^{2} + 5x +2x + 10 }{ {x}^{3} - 9x }

Factor out X from the expression

\frac{x(x + 5) + 2x + 10}{ {x}^{3}  - 9x}

Factor out 2 from the expression

\frac{x( x + 5) + 2(x + 5)}{ {x}^{3} - 9x }

Factor out x + 5 from the expression

\frac{(x + 5)(x + 2)}{ {x}^{3} - 9x }

Hope this helps...

Best regards!!

6 0
2 years ago
Read 2 more answers
lori says that 8 is not a factor of 80 because 8 does not end in zero. Does Lori's statement make sense? Explain
77julia77 [94]
You have to know that the zero has no value inless its in a place value .the 8 is a factor of 80 because 80 is 10 times as much as 8
5 0
2 years ago
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Surface area of a sphere is 615.752 m2, what is the volume of the sphere?
const2013 [10]

B

the volume (V) of a sphere = \frac{4}{3} πr³

We require to know the radius r to calculate the volume

using surface area of a sphere = 4πr² = 615.752

divide both sides by 4π

r² = \frac{615.752}{12.56} = 49.0248...

take the square root of both sides

r = \sqrt{49.0248..} ≈ 7, hence

V= \frac{4}{3} × π × 7³ = 1436.76 m³ → B



8 0
3 years ago
How does buying items in bulk usually help a consumer? A. The consumer gets better quality. B. The consumer pays less per item.
puteri [66]

Answer: B good luck on your work

4 0
3 years ago
Help me please 10 points
Ne4ueva [31]

Answer: 2/15

Step-by-step explanation:

25-21/30 = 4/30

4/30 = 2/15

7 0
3 years ago
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