Answer:
12222
Step-by-step explanation:
Answer:
A two-digit number can be written as:
a*10 + b*1
Where a and b are single-digit numbers, and a ≠ 0.
We know that:
"The sum of a two-digit number and the number obtained by interchanging the digits is 132."
then:
a*10 + b*1 + (b*10 + a*1) = 132
And we also know that the digits differ by 2.
then:
a = b + 2
or
a = b - 2
So let's solve this:
We start with the equation:
a*10 + b*1 + (b*10 + a*1) = 132
(a*10 + a) + (b*10 + b) = 132
a*11 + b*11 = 132
(a + b)*11 = 132
(a + b) = 132/11 = 12
Then:
a + b = 12
And remember that:
a = b + 2
or
a = b - 2
Then if we select the first one, we get:
a + b = 12
(b + 2) + b = 12
2*b + 2 = 12
2*b = 12 -2 = 10
b = 10/2 = 5
b = 5
then a = b + 2= 5 + 2 = 7
The number is 75.
And if we selected:
a = b - 2, we would get the number 57.
Both are valid solutions because we are changing the order of the digits, so is the same:
75 + 57
than
57 + 75.
Answer:
6 and 3 over 4 is greater than -3 and 1 over 4
Step-by-step explanation:
one is negative the other is positive
Answer:
The candle will not use all the paraffin from the original block.
Step-by-step explanation:
The cone-shaped candle is 5 cm wide at the base i.e. the diameter of the base is 5 cm i.e. radius is 2.5 cm.
If the height of the cone is 25 cm, then total volume of the cone shaped candle is
= 
= 163.69 cubic cm.
Again, the volumes of the rectangular block of paraffin is (4 × 8 × 6) = 192 cubic cm.
Since, 192 > 163.69
Therefore, the candle will not use all the paraffin from the original block.
