<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.
Answer:
The issue needs you to calculate Claire's airplane's speed in miles per hour.
Claire's airplane travels at a speed of 552 miles per hour.
Given:
414 miles total distance traveled
Time allotted = 3/4 hour
Total distance traveled / Total time = Speed
= 414 miles per hour
414 4/3 = 414
= (414 4 / 3)
1656 / 3 =
equals 552 miles per hour
As a result, Claire's airplane's speed in miles per hour is 552 miles per hour.
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Answer:
No
Step-by-step explanation:
It would take 1 painter 32 hours to paint a house (because 4*8=32). If we divide 32 by 12 we get 3, so no, it is not a direct variation because if it was it would only take 3 hours for the 12 painters to paint the house.
Im pretty sure its 0.75. I think all you have to do with this problem is simplify 15 with 20. If im wrong plz tell me!
Answer:
(b = 5 StartRoot 3 EndRoot)
and
(b = Negative 5 StartRoot 3 EndRoot)
Step-by-step explanation:
we have
we know that
The roots of the quadratic function are the values of x when the value of the function is equal to zero
so
For f(b)=0
Solve for b
Adds 75 both sides
take square root both sides
Simplify
therefore
(b = 5 StartRoot 3 EndRoot)
and
(b = Negative 5 StartRoot 3 EndRoot)
