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Andreas93 [3]
3 years ago
10

Someone please urgently help me with these two short worded questions! Thanks so much

Mathematics
1 answer:
ahrayia [7]3 years ago
8 0

Answer:

6. 7x + 3 = 3x; x = -3/4

7. x - 5 = 3x - 9; x = 2

Step-by-step explanation:

6. 7x + 3 = 3x

Subtract 3x from both sides.

7x + 3 - 3x = 3x - 3x

4x + 3 = 0

Subtract 3 from both sides.

4x + 3 - 3 = 0 - 3

4x = -3

Divide both sides by 4.

x = -3/4

7. x - 5 = 3x - 9

Subtract x from both sides.

x - 5 - x = 3x - 9 - x

-5 = 2x - 9

Add 9 to both sides.

-5 + 9 = 2x - 9 + 9

4 = 2x

Divide both sides by 2.

4/2 = (2/2) x

2 = x

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Find the 8th term in the following geometric sequence. Round your answer to the nearest hundredth. 27/375, 9/75,3/15,1/3,....
Nesterboy [21]

Answer:

  2.57

Step-by-step explanation:

The common ratio of this sequence is ...

  (1/3)/(3/15) = (1/3)/(1/5) = 5/3

Each additional term is 5/3 times the previous one, so the 8th term will be (5/3)^4 times the 4th term (the last one given). It is ...

  (1/3)·(5/3)^4 = 625/243 ≈ 2.57

_____

The generic n-th term (an) is ...

  an = a1·r^(n-1)

where a1 is the first term and r is the common ratio. We can make use of this formula to find the 8th term:

  a8 = (27/375)·(5/3)^7 = (3^3/3^7)·(5^7/(3·5^3)) = 5^4/3^5 = 625/243 ≈ 2.57

7 0
3 years ago
Veronica wants to convert 108 inches to feet. What does she need to do?
ArbitrLikvidat [17]

Answer:

Divide 108 by 12 since there are 12 inches in a foot.

108 ÷ 12 = 9

5 0
2 years ago
What is 5x10=50+60=<br> have a nice day
Vanyuwa [196]

Answer:

The answer is One hundred and ten

6 0
3 years ago
5x - 8x + 9 = 2x + 39​
docker41 [41]

Answer:

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4 0
3 years ago
Read 2 more answers
Find the minimum value of
AleksAgata [21]

Answer:

2x + 3y > 6                                                                                                          (1)

3x – 2y = 9                                                                                                         (2)

x + 5y = 20                                                                                                        (3)

From (1) and (2), we have:

(2x + 3y) - (3x - 2y) > 6 - 9

5y - x > -3                                                                                                          (4)

From (3) and (4), we have:

(x + 5y) - (5y - x) > 20 - (-3)

2x > 23

x > 12,5                                                                                                               (5)

From (3) and (5), we have:

x + 5y = 20 ⇔ 12,5 + 5y > 20

5y > 7,5

y > 1,5

So: C = 4x + 3y > 12,5 × 4 + 1,5 × 3 = 50 + 4,5 = 54,5

Conclusion: C > 54,5

5 0
4 years ago
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