Prove that given any 17 integers, there exist nine of them whose sum is divisible by 9.(it might help to use the fact that given any five integer you can find three whose sum is divisible by 3)
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Answer:
Step-by-step explanation:
let x,x+1,x+2,x+3,x+4,x+5,x+6,x+7,x+8
be 9 integers
x+x+1+x+2+x+3+x+4+x+5+x+6+x+7+x+8=9x+36=9(x+4)
which is divisible by 9
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Find the discount if a $69.99 item is on sale for $39.99
Answers
Answer: The new price of the book = $14.04
Step-by-step explanation:
We are given that, the original price of book = $19.50
Price marked down by 28 percent, that means the original price of the book was decreased by 28%.
Also, 28%= 0.28 [we divide % by 100 to convert it into decimal]
Then , the new price is given by :-
New price = (Original price) - ( Marked down percentage) x (Original price)
= ($19.50)- (0.28) ($19.50)
= ($19.50)(1-0.28)
= ($19.50) (0.72)
= $14.04
Therefore , the new price of the book = $14.04
($19.50) / (100) x (28) = $5.46
Now minus the 285 from the original price:
($19.50) - ($5.46) = $14.04
The answer is $14.04
Hope it helped :)
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Answer:69
Step-by-step explanation:
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9514 1404 393
Answer:
100%
Step-by-step explanation:
The markup of the item is the difference between the sale price and the cost:
2 - 1 = 1 . . . . markup of 1 on cost of 1
The percentage markup is the ratio of markup to cost, converted to a percentage:
markup/cost × 100% = 1/1 × 100% = 100%
The boutique's markup percentage is 100%.
Answers
Answer:
x = 5
Step-by-step explanation:
Because the red-marked lines are parallel, we know that the ratios are the same
5x : 45 = 20 : 36
5x/45 = 20/36
5x * 36 = 20 * 45
5x * 4 = 20 * 5
5x * 1 = 5 * 5
x = 5