<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.
4 gigabytes because 71-50= 21 4*5=20
Electrical -> radiant/heat
Answer:
3
Step-by-step explanation:
After 200 years, 9.84 grams of Cesium would remain.
Let N represent the amount of substance after t years
The half-life of a cesium is 30 years., hence, this can be represented by exponential function:

where a is the initial value and b is the multiplier.
There were initially 1000g of the substance
a) The exponential model for this situation is:

b) After 200 years (t = 200), the amount of Cesium remaining is:

Hence after 200 years, 9.84 grams of Cesium would remain
Find out more at: brainly.com/question/24710827