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-Dominant- [34]
3 years ago
6

Solve for n: -6(n -8) = 4(12 -5n) + 14n.​

Mathematics
2 answers:
Setler [38]3 years ago
6 0

Answer:

This is a very classical type of equation in which, the solution is basically any number and it is known as an "Identity". So it has infinite solutions

Step-by-step explanation:

  • Apply the distributive law to both sides of the equation:

-6(n-8) = 4(12-5n)+14n

-6n-6*(-8) = 4*12+4*(-5n) + 14n

  • Reduce similar terms

-6n+48=48-20n+14n

-6n+48=48-6n

  • From here it is clear them to see that by adding -48 and 6n to both sides one obtains the identity 0 = 0

-6n+48=48-6n

-6n +6n + 48 -48 = 48 -48 - 6n + 6n

0 = 0

  • So every time you find this kind of problem and after reducen the equation you end up with a true statement, then the equation has infinite solutions

Alexxx [7]3 years ago
5 0

Answer:

infinite solutions

Step-by-step explanation:

Given

- 6(n - 8) = 4(12 - 5n) + 14n ← distribute parenthesis on both sides

- 6n + 48 = 48 - 20n + 14n, that is

- 6n + 48 = 48 - 6n ( add 6n to both sides )

48 = 48 ← True

This indicates that the equation is true for any value of n

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Add 2 to 5, then multiply 3 by the result
Nostrana [21]

Answer:

21

Step-by-step explanation:

<em>Step 1: add 2 to 5</em>

=> 2 + 5

=> 7

<em>Step 2: Multiply the result by 3:</em>

=> 7 * 3

=> 21

Therefore the <u>final answer = 21</u>

Hope this helps!

7 0
3 years ago
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Gabby packs 37 boxes with limes. Each box holds 10 lemons. How many limes can Gabby pack into these boxes?
Len [333]

Answer:

3 boxes with a remainder of 7 lemons left



6 0
3 years ago
Simplify. x-2/(x^2+4x-12)
balandron [24]
Simplifying the above expression we shall proceed as follows:
<span>x-2/(x^2+4x-12)
factoring out the denominator we get:
</span>x^2+4x-12
=x^2-2x+6x-12
=x(x-2)+6(x-2)
=(x+6)(x-2)
thus our expression will be:
(x-2)/[(x+6)(x-2)]
simplifying the above we get:
1/(x+6)

Answer: 1/(x+6)
5 0
3 years ago
A clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price, p, it can c
Vitek1552 [10]

Answer:

p = -0.004n+34

Step-by-step explanation:

The slope of the linear equation can be found by using the two given points (30, 1000) and (22, 3000):

m = \frac{p_1-p_0}{n_1-n_0}= \frac{30-22}{1000-3000}\\m=-0.004

Applying the point (30, 1000) to the general form of a linear equation with m =-0.004, gives us the linear relationship between price (p) and number of shirts (n):

(p-p_0) = m(n-n_0)\\p-30=-0.004(n-1000)\\p=-0.004n+34

5 0
3 years ago
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Help I need help with all of my question so be aware lol
LenKa [72]
N = 1 corresponds to day 1
n = 2 corresponds to day 2
...etc etc...
n = 21 corresponds to day 21

Plug in n = 21
a_n = 100 + (n-1)*4
a_21 = 100+(21-1)*4 ... replace every n with 21
a_21 = 100 + 20*4
a_21 = 100+80
a_21 = 180

Answer: C) 180 yards
7 0
3 years ago
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