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Fittoniya [83]
3 years ago
14

The successor of a certain number when added to twice the number produces 61. What is the number?

Mathematics
1 answer:
Crazy boy [7]3 years ago
3 0
Lets see, If "n" represents the number, then "the successor of a certain number" is n+1. Now if "Twice the number" is 2n now for the expression "The successor of a certain number when added to twice the number" would then be 2n+n+1, which the problem stated is equal to 61 Therefore we can say that the correct option would be 2n+n+1=61
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the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?
Oksanka [162]

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

8 0
3 years ago
A shepherd is paid rs.2400 for gazing 18 cows for 5 weeks.How much will be paid for gazing 20 cows for 8 weeks?
lys-0071 [83]

Answer:

Rs. 4266.67(approx) will be paid for gazing 20 cows for 8 weeks.

Explanation:

A shepherd is paid rs. 2400 for gazing 18 cows for 5 weeks .

⇒ Number of money paid for gazing 1 cow for 1 week is, \frac{2400}{18\times 5} =\frac{400}{15}= \frac{80}{3}

then,

for gazing 20 cows for 8 weeks is=  Rs. \frac{80}{3}\times (20\times 8)

Therefore, the amount paid for gazing 20 cows for 8 weeks is, \frac{80 \times 160}{3} = \frac{12800}{3} = Rs. 4266.66667 or Rs. 4266.67(approx)

7 0
3 years ago
What is the value of x?
Anna007 [38]

Answer:

4x= 40

Step-by-step explanation:

40/4 = 10

7 0
3 years ago
Read 2 more answers
Is this the right answer?
Ne4ueva [31]
Yes your answer is solved correctly
6 0
3 years ago
Heron’s formula: Area = Triangle PQR has sides measuring 9 feet and 10 feet and a perimeter of 24 feet. What is the area of tria
VladimirAG [237]
Hello,

Let's assume a,b,c the 3 sides of the triangle.

a=9
b=10
c=24-a-b=5

p= \dfrac{a+b+c}{2} =12\\

S= \sqrt{p(p-a)(p-b)(p-c)} = \sqrt{12*3*2*7} = \sqrt{504} =22,4499...\approx{22}
4 0
4 years ago
Read 2 more answers
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