Represent these consecutive numbers (assuming that they are all integers):
x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number. x+9 = 10, so x = 9.
Think of it this way: there are 10 consecutive numbers, and the last one is 10.
Working backwards, we get the sequence 10, 9, ... 3, 2, 1.
The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:
sum here = 10(1+10)/2 = 5(11) = 55 (answer)
The tower is 61.65 meters tall.
<u>SOLUTION:
</u>
Given that, a pole that is 2.5 m tall casts a shadow that is 1.47 m long.
At the same time, a nearby tower casts a shadow that is 36.25 m long.
We have to find height of the tower.
Now, we know that,
Then, (let it be) n meter tall 
36.25 long shadow
So, by cross multiplication method,
This can be written as,
Cross multiplications steps: (To find Single Variable)
- Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction.
- Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.
- Set the two products equal to each other.
- Solve for the variable.
Answer:
Option A
Step-by-step explanation:
Y is the amount of back pack
The total amount is represented by m
If Y is the cost of back pack purchased by Oliver, then 0.7 Y is the tax applicable on the purchase of back pack
Hence, the remaining cost would be total amount with Oliver minus the cost of back pack and the tax applicable on the purchase of back pack
Remaining cost = m - (y + 0.07y)
Hence, option A is correct
Correct answer is option D.The solution is listed below
Answer: 36 moles oxygen
Step-by-step explanation:
C10H8 + 12O2 ====》 10CO2 + 4H2O
From the equation of the reaction,
1 mole of napth requires 12 moles of O2
3 moles of napth would require x moles O2
X = (3 * 12) / 1
X = 36 moles of oxygen.
Therefore 3 moles of naphtalene (C10H8) would require 36 moles of oxygen
