Let the numbers be x and y, then
2x + y = 47 . . . (1)
x + 3y = 56 . . . (2)
(2) x 2 => 2x + 6y = 112 . . . (3)
(1) - (3) => -5y = -65 => y = -65/-5 = 13
From (2), x + 3(13) = 56 => x = 56 - 39 = 17
The two numbers are 13 and 17.
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Answer:
Answer: Option c. 0.1875 is the first term of the sequence.
Step-by-step explanation:
In this question sixth term of a sequence is given as A(6)= 192
Ratio of terms is given as 4
And we have to calculate the first term of the sequence.
As per formula A(n) = A(1)×
A(6) = 
192 = 
A(1) = 
= 192/1024
=0.1875
So the first term of the sequence will be 0.1875
Answer:
43
Step-by-step explanation:
Answer:
1020 raisins
Step-by-step explanation:
The problem tells you the number of raisins is proportional to the number of bags, so there will be "r" raisins in 12 bags:
r/12 = 680/8 = raisins/bag
r = (12/8)(680) = 1020
There will be 1020 raisins in 12 bags.