Answer:
39
Step-by-step explanation:
Let a and b represent the first and second digits, respectively.
... a = b -6 . . . . . . the first digit is 6 less than the second
... a + b = 12 . . . . .the sum of digits is 12 (an even number)
Using the expression in the first equation, we can substitute for a in the second equation:
... (b -6) +b = 12
... 2b = 18 . . . . . . add 6, simplify
... b = 9 . . . . . . . . .divide by 2
... a = 9 -6 = 3 . . . . from the first equation
The number is 39.
Remember to make the polynomials to equal zero, one or the other polynomial must equal zero. So...
2x-3 = 0
2x= 3
x=3/2
and
4x+5 = 0
4x = -5
x = -5/4
So the answers are x=3/2 and x = -5/4
Hope this helps!
Answer:
The slope of the line is -5/3.
The answer is B. (15,18)
Solution:
First, let's set the variables first.
X = dollars per hour to clean the floor
Y = dollars per hour to clean the rest of the house
For the first statement, "<span>2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $84"
We can put it into an equation.
2X + 3Y = 84 </span>⇒ equation 1
For the first statement, "<span>1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $87'
X + 4Y = 87 </span>⇒ equation 2
Multiply first equation 2 by 2 to make the coefficient of both equations 1 and 2 the same.
Using elimination method in solving for x and y,
(equation 1) 2X + 3Y = 84
(equation 2) 2(X + 4Y) = 87
2X + 8Y = 174 ⇒ equation 3
Next, subtract equation 3 from equation 1.
2X + 3Y = 84
- (2X + 8Y = 174)
-------------------------
- 5Y = -90
Y = 18
Find X when Y = 18
@ equation 1 : 2X + 3Y = 84
2X + 3(18) = 84
2X + 54 = 84
2X = 84 - 54
2X = 30
X = 15
The answer is in ordered pairs of cleaning the floors and to clean the rest of the house. So, in the form (X,Y).
Answer: (15,18)
