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dolphi86 [110]
3 years ago
12

Solve for n: 6 - 24n = 3n + 6

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer:

0

Step-by-step explanation:

6-24n=3n+6

Add 24n to both sides of the equation:

6=27n+6

Subtract 6 from both sides:

27n=0

Therefore, n=0.

Hope this helps!

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62%
Svetlanka [38]

Answer:

(a) Sequence: -1, 1, 3

(b) nth term: T_n = 4+ 5n

Step-by-step explanation:

Solving (a)

Given

T_n = 2n - 3

The first 3 terms.

When n = 1

T_1 = 2*1 - 3

T_1 = 2 - 3

T_1  = -1

When n = 2

T_2 = 2*2 - 3

T_2 = 4 - 3

T_2 = 1

When n = 3

T_3 = 3*2 - 3

T_3 = 6 - 3

T_3= 3

So, the first three terms are:

Sequence: -1, 1, 3

Solving (b)

Given

Sequence: 9,14,19,24

Required

The nth term

The sequence is arithmetic.

So, first calculate the common difference (d)

d = 14 - 9

d = 5

The nth term is then calculated as:

T_n = a + (n - 1) * d

Where

a =First\ term

So:

a = 9 and d = 5

T_n = 9 + (n - 1) * 5

T_n = 9 + 5n - 5

Collect like terms

T_n = 9 - 5+ 5n

T_n = 4+ 5n

6 0
3 years ago
Bob needs to mix 2 cups of orange juice concentrate with 3.5 cups of water to make orange juice. bob has 6 cups of concentrate.
tiny-mole [99]
6/2 = 3 

<span>3 * 3.5 = 11.5 </span>

<span>11.5 + 3 = 14.5 cups of juice

</span>
6 0
3 years ago
Read 2 more answers
Lucy and her mother made tacos they put 2 tacos on each of 7 plates selet the number sentences that show all the tacos Lucy and
slamgirl [31]
2 times 7 = 14
since each of the 7 guests received 2 tacos
3 0
4 years ago
Identify Slope and Y intercept for the equation X=4 M=B=
krek1111 [17]
Undefined and Undefined

Since the equation is x = 4, there is no y-intercept as x will never equal 0.

Additionally, since the equation is x = 4, there is no change in x value and as such the slope can not be determined.
6 0
3 years ago
Please answer the following:
ratelena [41]

Answer:

( \frac{7}{10} - \frac{5}{8} ) ÷ \frac{1}{16}

(check your other question for my explanation)

5 0
3 years ago
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