Answer:
Pay $6.75 and save $2.25
Step-by-step explanation:
If the store has a sale for 25% off, then you pay 75%. Find the sales price by multiplying $9 by 0.75.
9*0.75 = 6.75
This means you save 9 -6.75 = 2.25.
Let the first number of the five we are looking for equal n.
Because the numbers are consecutive, the next four can be expressed as (n+1), (n+2), (n+3) and (n+4).
Our series of 5 numbers is therefore n,(n+1),(n+2),(n+3),(n+4).
We are told the sum of the squares of the first 3 is equal to the sum of the squares of the last 2 therefore:
n² + (n+1)² + (n+2)² = (n+3)² + (n+4)²
expand all the brackets to give
n² + n² + 2n + 1 + n² + 4n + 4 = n² + 6n + 9 + n² + 8n + 16
3n²+6n+5 = 2n²+14n+25
n²-8n-20=0
factorising this gives us
(n+2)(n-10) = 0 so the solutions are n=10 and n=-2
That means that n,(n+1),(n+2),(n+3),(n+4) could be [-2, -1, 0, 1 and 2] or [10, 11, 12, 13 and 14].
Since the question asks for whole numbers, and negative numbers are not classed as whole numbers, the numbers we want must be 10, 11, 12, 13 and 14.
You can check this on a calculator by doing 10² + 11² + 12² (=365) and 13² + 14² (=365).
You write it as 46 divide by 1058. 46 x 2 is the closest you will get to 100. 46 x 2 is 92. put it in and you have 138 left. multiply 46 x 3 and you will get 138. amswer is 23. remember to bring down the next number whwn dividing
Answer:
The length is 0.83
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
