The riddle given by Dr. Watson to Sherlock Holmes is:
217 is to 335
896 is to 543
345 is to ____
We need to find the missing number of the third pair of the riddle. This is a ratio and proportion problem.
217/ 335 = 896/ 543 = 345 / x
The value of x is 209.
<span>let x is the number
2x + 18 = 9 - 4x
If solve for x
2x +4x = 9 -18
6x = -9
x = -9/6
x = -3/2</span>
Answer:
D)1852861610.94
Step-by-step explanation:
Apply BODMAS which is Brackets,Of,Division,Multiplication, Addition and Subtraction on the given expression
This is the preferential order for operations when nothing is mentioned
Given expression
Applying Brackets
Therefore the value of the Given expression is 1852861610.94
Answer:
6.11km/hr
Step-by-step explanation:
Let the speed that Kelli swims be represented by Y
Speed of the river = 5km/hr
Distance = Speed × Time
Kelli swam upstream for some distance in one hour
Swimming upstream takes a negative sign, hence:
1 hour ×( Y - 5) = Distance
Distance = Y - 5
She then swam downstream the same river for the same distance in only 6 minutes
Downstream takes a positive sign
Converting 6 minutes to hour =
60 minutes = 1 hour
6 minutes =
Cross Multiply
6/60 = 1/10 hour
Hence, Distance =
1/10 × (Y + 5)
= Y/10 + 1/2
Equating both equations we have:
Y - 5 = Y/10 + 1/2
Collect like terms
Y - Y/10 = 5 + 1/2
9Y/10 = 5 1/2
9Y/ 10 = 11/2
Cross Multiply
9Y × 2 = 10 × 11
18Y = 110
Y = 110/18
Y = 6.1111111111 km/hr
Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.