Answer:
The different winning scores possible are 25 (from 28 to 52).
Step-by-step explanation:
- The minimum score obtained by a player will be 28.
since, we divide 1-7 numbered to one and 8-14 to the other player such that one receives the maximum and the other receives the minimum.
the least minimum possibility is :28 as one get the card as(1,2,3,4,5,6,7).
while the other player gets 77 sum and loses.
- for increasing this score now we give the number 1,2,3,4,5,6,8 to one of the player so that they sum upto 29 and will get the minimum score and wins while the other player gets 76 sum with the help of numbers{9,10,11,12,13,14,7} and loses.
- next possible minimum sum to win will be 30 by assigning 1,2,3,4,5,6,9 whereas the other gets the sum 75 and loses.
- continuing in the same way we see that the minimum sum obtained to win will be 52( by assigning 2,3,6,7,9,12,13) while the other gets the sum 53 and loses.
Hence, there are total 25 winning scores possible. (from 28 to 52 i.e. 52-28=25).
ANSWER
Find out the how many pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc.
To proof
As given
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.
the total part of the alloy are 18.
assuming one part be x.
thus
nickel part = 2x
zinc part = 7x
copper part = 9x
alloy that contains 4.9 lb of zinc.
than the equation becomes
7x = 4.9
x = 0.7
Therefore
nickel part = 2x
= 2× 0.7
= 1.4 lb
1.4 lb of nickel have to be used to create alloy that contains 4.9 lb of zinc.
Hence proved
Answer:
Step-by-step explanation:
Given :
Point of intersection :
So, we have points 
Equation of line passing through two points 
is given by 
Let 
So, equation is as follows :
Answer:
33 ¹/₃ seconds
Step-by-step explanation:
Since the dog is 30 - 24 = <em>6 m/s faster than the cat</em>, that means that the dog is <em>6 meters closer to the cat each second</em>.
So, that gap will close in 200/6 = 33 ¹/₃ seconds.
