Answer:
Step-by-step explanation:
Since the coordinates of P are (0, 1), this makes P the y-intercept of that line. The y-intercept exists where x = 0. And in the coordinate (0, 1), x does in fact equal 0.
Since the one coordinate given in Q is (?, 0), this means that Q is the x-intercept of the line. The x-intercept exists where y = 0. And in the coordinate (?, 0), y does in fact equal 0. So in order to solve for the x coordinate of Q, we plug in a 0 for y and solve for x:
3(0) - 4x = 12 and
-4x = 12 so
x = -3
Answer:
The answer is that x = 0 and y = -6. While this is not any of your options, the work below proves that it is correct.
In order to find these values, we can use elimination. To do so, we multiply the first equation by 5 and then add the equations together.
125x - 5y = 30
-2x + 5y = -30
------------------
123x = 0
x = 0
Now that we have this value, we can plug the value into one of the originals and find y.
25x - y = 6
25(0) - y = 6
-y = 6
y = -6
#17: is 6
#18: is 30
#19: is 3.75
Answer:
a) 10
b) The $40+5 dollars for every ticket
c) See below
Step-by-step explanation:
a)
1. Let t=number of tickets
2. Writing an equation
Breaking even means that you earn the same amount of money for both.
40 +5t=70+2t
3. Solving the equation
40 +5t=70+2t
5t-2t=70-40
3t=30
t=10
So the answer to a) is 10.
b)
1. Using an equation
We already know that there are 2 equations for this problem. (40+5t, 70+2t)
So, we will substitute 20 for t.
40+5*20=40+100=140
70+2t=70+2*20=110
2. Comparing equations
140>110, so the first offer is better
C)
The owner lets you choose how you get paid because one option will be better for you, as some days you might not sell many tickets (so you will go with the $70+2 tickets), or some days you might sell many tickets (you will choose the $40+5 dollars/ticket).
Answer:
here
Step-by-step explanation:
1.-( -1/5) + ( -3/5) = - 4/5
2.- (+2/6) + (-5/6)= - 1/2
3.-(-4/12) + (-4/6)- (- 1/3)= - 2/3
4.- (- 5/12) + (+4/20)= - 16/30
5.- (-6/12) + (-1/6) = - 4/6
1.- (+8) + (-12)= -4
2.- (-3) + ( -9 )= -12
3.- (-2) + (-15) = -17
4.- (-5) – ( +10 )= -15
5.- (+7) – ( - 8) = 15
1.- (-1/5) + (-3/5)= - 4/5
2.- (+2/6) + (-5/6)= - 1/2
3.-(-9/12) + (-1/6)= - 11/12
4.- (+1/3) + (+4/6) +(-1/3)= 2/3
5.- (-1/4) + (+4/2) – (- ¼)= 2
