Answer:
y = -3x + 10
Step-by-step explanation:
6x+2y=20
First, you want to subtract 6x from both sides.
2y=-6x+20
Now, you want to divide by 2 on both sides because you want to get y by itself.
y = -3x + 10
We evaluate b^2 - 4ac. If the answer is positive, then there are two real solutions. If it is zero, there is one real solution. If it is negative, there are 2 complex solutions. In this equation, a = 1, b = 5, c = 7. Now we plug in the numbers.
Because this answer is positive, there are two real solutions.
Let g represent video games. The equation you can use to solve for the amount of video games and CDs Jasmine can buy with her savings is:
43g+72=1128
The 43g part is because it costs 43 dollars for every video game, so you need to multiply 43 by the amount of games she buys to get the total for g games.
The +72 part is because you already have the amount spent on CDs, and needs to be added to the cost of video games, so that the sum would be equal to 1128.
Now, solving:
43g+72=1128 ...subtract 72 from both sides
43g=1056 ...divide both sides by 43 to isolate g
g=24.5581395349
Rounded up, that would be 25 games, but Jasmine's savings isn't enough to buy 25 games that cost $43 each, so you would go down to 24 games.
The answer: Jasmine can buy 24 games with her savings after spending $72 on CDs.
Answer:
12.56 yd^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi (2)^2 (1)
V = pi (4)
Let pi = 3.14
V = 3.14 (4)
V =12.56
