Answer:
(-8, 2)
Step-by-step explanation:
1. Set up the equations.
y = 1/2x + 6
y = -3/4x - 4
2. Set the equations to equal each other.
1/2x + 6 = -3/4x - 4
3. Move the variables to one side and the numbers to the opposite side.
6 + 4 = -3/4x - 1/2x
10 = -3/4x - 2/4x
10 = -5/4x
4. Divide 10 by -5/4.
10/ -5/4 = 10 * -4/5 (when dividing fractions, flip the fraction over)
10 * -4/5 = -40/5 = -8
<em>x = -8</em>
5. Plug in the x-value into one of the equations.
y = 1/2x + 6
y = 1/2(-8) + 6
y = -4 + 6
<em>y = 2</em>
OR
y = -3/4x - 4
y = -3/4(-8) - 4
y = 6 - 4
<em>y = 2</em>
Answer: Let E be the event that the first marble selected is green. Let F be the event that the second marble selected is green. A box contains 20 blue marbles, 16 green marbles and 14 red marbles P(F/E)=15/49 because if the first marble selected is green there are 49 in total and 15 are green. I think this is it.
Step-by-step explanation:
The Answer is C 5/6
250/300 reduced and simplified is 5/6
Answer:
B = Blue
Y = Yellow
G = Green
P = Pink
The info that we have is:
3*B = Y
(1/2)Y = G
P = (3 + 1/4) gal
P = G + 3/4 gal.
So we have 4 equations. The first step is replacing the third equation into the fourth equation, and get:
G + 3/4 gal = (3 + 1/4) gal
G = (3 + 1/4) gal - 3/4 gal = (2 + 2/4) gal
Now we can replace this into the second equation ((1/2)*Y = G) to find the value of Y.
(1/2)Y = (2 + 2/4) gal
Y = 2*(2 + 2/4) gal = (4 + 1)gal = 5 gal.
Now we can replace this into the first equation and get:
3*B = 5gal
B = 5/3 gal = (1 + 2/3)gal
So the total amount of paint used is:
T = P + G + Y + B = (3 + 1/4) gal + (2 + 2/4) gal + 5gal + (1 + 2/3)gal
T = (11 + 3/4 + 2/3)gal
T = (11 + 9/12 + 8/12)gal = (11 + 17/12)gal = (11 + 1 + 5/12)gal = (12 + 5/12) gal.