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riadik2000 [5.3K]
3 years ago
14

(07.05)

Mathematics
2 answers:
Llana [10]3 years ago
5 0

Answer: n = -2

Step-by-step explanation:

3n +2(n + 2) = 9n + 12

(simplify 2(n + 2)) =

3n + 2n + 4 = 9n + 12

(subtract 9n from both sides)

3n + 2n - 9n + 4 = 12

-4n + 4 = 12

(subtract 4 from both sides)

-4n = 8

(divide -4 from both sides)

n = -2

Nikolay [14]3 years ago
5 0

Answer:

b. -2

Step-by-step explanation:

3n + 2 ( n + 2 ) = 9n + 12

[To simplify, multiply 2 with n and 2]

3n + 2n + 4 = 9n + 12

5n + 4 = 9n + 12

[Add 2n and 3n]

5n + 4 - 9n = 12

[Sign of 9n would change when it's moved from one side of the = to the other]

5n - 9n = 12 - 4

[Similarly, sign of 4 would change from + to -]

- 4n = 8

n = 8/-4

n = -2

Hope this helps :D

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Step-by-step explanation:

we have f=-6.5

-2.75- (-6.5)= -2.75+6.5=3.75

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2 years ago
Shane has a garden box that is 4 feet long, 4 feet wide, and foot deep.
OverLord2011 [107]

Answer:

How much soil for a raised bed?

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4 0
3 years ago
What are the degree and leading coefficient of the polynomial of 12u3 -8 + 23u
irga5000 [103]

Answer:

Degree: 3

Leading Coefficient: 12

Step-by-step explanation:

Find the highest power to determine the degree, in this case it's 3. Then identify the term with the highest power (12u^3) to find the leading coefficient.

So, because 3 is the largest and only power in this equation, it is the degree. 12u^3 is the leading term (term containing the highest degree) and 12 is the coefficient attatched to the term. Hope that helped!

4 0
3 years ago
A race is 25 miles long. There is a water station every 1 1/4 miles along the race route. How many water stations are needed for
Vikentia [17]

Answer:

21

Step-by-step explanation:

21 water stations

Step-by-step explanation:

From the question, we are informed that a marathon is 26.2 miles long and that there is a water station every 1 1/4miles along the race route and at the finish line.

To get the number of water stations that are needed for this marathon, we divide 26.2 miles by 1 1/4miles. This will be:

= 26.2miles/1 1/4 miles

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8 0
3 years ago
Write the equation of the conic section with the given properties:
timurjin [86]

Answer:

\frac{x^2}{64} + \frac{y^2}{25} =1

Step-by-step explanation:

An ellipse with vertices (-8, 0) and (8, 0)

Distance between two vertices = 2a

Distance between (-8,0) and (8,0) = 16

2a= 16

so a= 8

Vertex is (h+a,k)

we know a=8, so vertex is (h+8,k)

Now compare (h+8,k) with vertex (8,0) and find out h and k

h+8 =8, h=0

k =0  

a minor axis of length 10.

Length of minor axis = 2b

2b = 10

so b = 5

General formula for the equation of horizontal ellipse is

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b} =1

a= 8 , b=5 , h=0,k=0. equation becomes

\frac{(x-0)^2}{8^2} + \frac{(y-0)^2}{5} =1

\frac{x^2}{64} + \frac{y^2}{25} =1

5 0
3 years ago
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