Step-by-step explanation:
Let's say the two digit number is 10x + y, where x is the first digit and y is the second digit.
The sum of the digits is 8:
x + y = 8
If 8 is subtracted from the number, the digits switch place.
10x + y − 8 = 10y + x
Simplify the second equation:
9x − 8 = 9y
Substitute from the first equation.
y = 8 − x
9x − 8 = 9 (8 − x)
9x − 8 = 72 − 9x
18x = 80
x = 4.444
There's a problem. x isn't an integer. Are you sure you copied the problem correctly? Perhaps you meant if 18 is subtracted from the number, the digits switch place.
9x − 18 = 9 (8 − x)
9x − 18 = 72 − 9x
18x = 90
x = 5
y = 8 − x
y = 3
So the number is 53.
9514 1404 393
Answer:
14 units
Step-by-step explanation:
The angle bisector divides the sides proportionally.
BD/BA = CD/CA
(x+4)/8 = (2x+1)/12
3(x +4) = 2(2x +1) . . . . . multiply by 24 (the least common denominator)
3x +12 = 4x +2 . . . . . . . eliminate parentheses using the distributive property
12 = x +2 . . . . . . . subtract 3x
10 = x . . . . . . . . . subtract 2
Then the length of BD is ...
BD = x +4
BD = 10 +4 . . . . substitute the value of x
BD = 14
Answer:
90
Step-by-step explanation:
9 x (3)2 + 9 first do the parenthesis
9 x 9 + 9 I am assuming the 2 was an exponent
81+9
90
Answer:
C) 75 + 50x = 25 + 70x
Step-by-step explanation:
ABC Tech:
$50 an hour. So,for x hours= 50 * x = 50x
Service charge = 75 + 50x
Tech Squad:
$70 an hour. So,for x hours= 70 * x = 70x
Service charge = 25 + 70x
C) 75 + 50x = 25 + 70x
50x - 70x = 25 - 75
-20x = -50
x = -50/-20
x =5/2 = 2
hours
If the base is 2 and the exponent is the the expression would look like this → 2³. In order to simplify it, you have to multiply the base number by the number of the exponent.
2×2×2=8
Therefore, the simplified expression would be 8.
I hope this helped.
