<u>ANSWER:</u><u> </u>
The original number is 64
<u>SOLUTION:</u>
Let the two-digit number be ab, where 'a' is the tens digit and 'b' is the units digit.
<span>"The sum of the digits of a two-digit number is 10" implies
a + b = 10 (Equation 1)
</span><span>"When the digits are reversed, the new number is 18 less than the original number" is algebraically written as
ba = ab - 18
>> bx10 + ax1 = (ax10 + bx1) - 18
</span>>> 10b + a = 10a + b - 18
>> 9a - 9b = 18
>> 9(a - b) = 18
>> a - b = 2
>> a = b + 2 (Equation 2)
Now substitute equation 2 in equation 1 to get
a + b = 10
>> (b + 2) + b = 10
>> 2b = 8
>> b = 4
Plug this value back in equation 1 to get
a = b + 2 = 4 + 2 = 6
So a = 6 and b = 4. Hence, the original number is 64.
<u>CHECK</u><u>:</u>
<span><u>Given</u>: The sum of the digits of a two-digit number is 10
</span><u>Check</u>: 6 + 4 = 10 (so it is true)
<span><u>Given</u>: When the digits are reversed, the new number is 18 less than the original number
</span><u>Check</u>:
Digits reversed: 64 reversed becomes new number 46, and 46 is 18 less than 64, that is, 46 = 64 - 18.
12a+24 = 90 because all angles in a rectangle equal 90 degrees.
Subtract 24 from both sides.
12a=66
Divide both sides by 12
a=5.5
Answer:
A) 0.04 - 1.6 = -0.56
B) 0.8 - 10.2 = -9.4
Step-by-step explanation:
Answer:
Step-by-step explanation:
The average rate of change measures the average rate at which a function changes per unit time in a given interval. In another words, the average rate of change is the relationship between vertical and horizontal changes between two points of the function. So, basically if you are trying to find the average rate of change, you are trying to find the slope.
If 
represents the months, then:
Let:
So:
For:
Therefore:
