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Lunna [17]
3 years ago
13

What is the value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1)? n =

Mathematics
2 answers:
alexdok [17]3 years ago
7 0

[|] Answer [|]

\boxed{N \ = \ 7/10}

[|] Explanation [|]

(2n + 4) + 6 = -9 + 4(2n + 1)

N = ?

____________

Expand: - (2n + 4) + 6:     -2n + 2

- (2n + 4)     -2n - 4

= -2n - 4 + 6

Add / Subtract Numbers: -4 + 6 = 2

= -2n + 2

Expand: -9 + 4(2n + 1):   8n - 5

-9 + 4 (2n = 1)

Expand: 4(2n + 1):   8n + 4

= -9 + 8n + 4

Add / Subtract Numbers: -9 + 5 = -5

= 8n - 5

_________________

-2n + 2 = 8n - 5

Subtract 2 From Both Sides:

-2n + 2 - 2 = 8n - 5 - 2

Simplify:

-2n = 8n - 7

Subtract 8n From Both Sides:

-2n - 8n = 8n - 7 - 8n

Simplify:

-10 = -7

Divide Both Sides By -10:

-10/-10 = -7/-10

Simplify:

N = 7/10

\boxed{[|] \ Eclipsed \ [|]}

a_sh-v [17]3 years ago
3 0

Answer:

The final result is: n = 7/10 or n = 0.7.

I think

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Carson runs 3/4 of a mile in 2/5 of an hour how many miles does carson run in one hour
Gnom [1K]

Answer

7.5/4

Step-by-step explanation:

2/5x2=4/5

3/4x2=6/4

Half of 2/5 is 1/5

Half of 3/4 is 1.5/4

4/5+1/5=5/5= 1 hour

6/4+1.5/4=7.5/4

4 0
2 years ago
Luna Ray has 5 orange picks and no green picks you add some green picks so 1 in every 3 picks is orange.how many picks are there
xeze [42]
Let p be the number of green picks added, so we have p green picks and 5+p picks altogether.
We didn’t add any orange picks so we still have 5 orange. Therefore 5/(5+p)=1/3.
Cross-multiplying: 15=5+p so p=10. In all we have 10+5=15 picks.
5 0
3 years ago
Is -4.8 a rational number
xxMikexx [17]

Answer:

Yes

Step-by-step explanation:

A number that can be made by dividing two integers (an integer is a number with no fractional part). The word comes from "ratio". Examples: • 1/2 is a rational number (1 divided by 2, or the ratio of 1 to 2)

-4.8 can be written as a fraction

Hope this helps!

-Jerc

8 0
3 years ago
Read 2 more answers
the sum of two numbers is 57. If the larger number is three less than twice the smaller number find both numbers
bearhunter [10]

Answer:

Step-by-step explanation:

x = larger number, y = smaller number

x + y = 57

x = 2y - 3

2y - 3 + y = 57

3y - 3 = 57

3y = 57 + 3

3y = 60

y = 60/3

y = 20 <=== the smaller number

x = 2y - 3

x = 2(20) - 3

x = 40 - 3

x = 37 <=== the larger number

3 0
3 years ago
Read 2 more answers
PLS HELP<br> Find an equation of the line with a y-intercept of -3 and an x-intercept of -4.5
kari74 [83]

Answer:

y = - \frac{2}{3} x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (- 4.5, 0 ) ← coordinates of intercepts

m = \frac{0-(-3)}{-4.5-0} = \frac{0+3}{-4.5-0} = \frac{3}{-4.5} = - \frac{2}{3}

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - \frac{2}{3} x - 3 ← equation of line

3 0
3 years ago
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