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.
So below m in the chart, is shows what m equals for you to substitute in the equation
So the second blank would be 42.
Since 7*6=42.
The third blank would equal to 56.
Since 7*8=56
Answer:
Step-by-step explanation:
i do not know
Answer:
x = 97.6
Step-by-step explanation:
cos = adjacent over hypotenuse
* multiply each side by x *
* divide each side by cos ( 55 ) *
we're left with x = 97.63302055
Our last step is to round to the nearest tenth of a foot
We get that x = 97.6
Answer:
2800 - 4000
Step-by-step explanation:
40 × 70 = 2800
50 × 80 = 4000
