Question 1:
Divide 10500g in the ratio 3:11

Question 2:
Divide 2100ml in the ratio 5:2

Question 3:
find the nth term: 2,7,12,17,...

Question 4:
if the nth term of a sequence is 7n+6 what is the 9th term?

Question 5:
the mean of 16,x,3,14,57 is 22. find x.

Question 6:
the mean of 4,x,5,6,1 is 5. find x.

Respuesta :

Answer:

Question 1:

8250

Question 2:

600

Question 3:

5n-3

Question 4:

68

Question 5:

X=20

Question 6:

X=9

Step-by-step explanation:

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10500g in the ratio 3 : 11 is 2,250g and 8,250g

  • 10500g in the ratio 3 : 11

Total ratio = 3 + 11

= 14

Share of 3 = 3/14 × 10,500

= 0.2142857142857 × 10,500

= 2,250g

share of 11 = 11/14 × 10,500

= 0.7857142857142 × 10,50

= 8,250g

  • 2100ml in the ratio 5:2

Total ratio = 5 + 2

= 7

Share of 5 = 5/7 × 2100

= 0.7142857142857 × 2100

= 1,500ml

Share of 2 = 2/7 × 2100

= 0.2857142857142 × 2100

= 600ml

  • The nth term: 2,7,12,17,...

nth term = a + (n - 1)d

a, = first term = 2

d = common difference

= 7 - 2

= 5

nth term = a + (n - 1)d

= 2 + (n - 1)5

= 2 + 5n - 5

nth term = 5n - 3

  • nth term = 7n + 6

9th term = 7(9) + 6

= 63 + 6

9th term = 68

  • 16,x,3,14,57 is 22

22 = (16 + x + 3 + 14 + 57) / 5

22 = (90 + x) / 5

cross product

22 × 5 = 90 + x

110 = 90 + x

110 - 90 = x

20 = x

x = 20

  • 4,x,5,6,1 is 5.

5 = (4 + x + 5 + 6 + 1) / 5

5 = (16 + x) / 5

cross product

5 × 5 = 16 + x

25 = 16 + x

25 - 16 = x

x = 9

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