What is the answer for 1.3÷65=
1 answer:
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The equation we use here is:
x is for the number of games he played on first day, y is the games on second day. The coefficients are the decimal form of percentages.
Simplify:
To find x we need to use the ratio. We have 85/100 as the first day's ratio and because the games needs to be whole, we can simplify this as 17/20. So in first day, he played at least 20 games and won 17 of them.
When we plug the 20 into the equation as x:
So he needs to play at least 30 games in order to get his score to 94%.
x is for the number of games he played on first day, y is the games on second day. The coefficients are the decimal form of percentages.
Simplify:
To find x we need to use the ratio. We have 85/100 as the first day's ratio and because the games needs to be whole, we can simplify this as 17/20. So in first day, he played at least 20 games and won 17 of them.
When we plug the 20 into the equation as x:
So he needs to play at least 30 games in order to get his score to 94%.
Answer:
Pilar is correct. Both systems have solution (-2, 4).
Step-by-step explanation:
Graphing, or any other means of solving these systems of equations reveals both systems have the same solution: (x, y) = (-2, 4).
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By Cramer's rule, the solution to the first set is ...
x = (2(6)-4(2))/(2(5)-4(3)) = 4/-2 = -2
y = (2(5)-6(3))/-2 = -8/-2 = 4
(x, y) = (-2, 4) is the solution to the first system
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Since the first equation of the second system is the same as the first equation of the first system, we know the above solution satisfies that equation. We only need to check to see if the same point satisfies the second equation of the second system:
11(-2) +8(4) = -22 +32 = 10 . . . . . yes,
(-2, 4) is the solution of the second system
Pilar is correct that both systems have the same solution.
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Cramer's Rule tells you the solution to
- ax +by = c
- dx +ey = g
is ...
- x = (bg -ec)/(bd -ea)
- y = (cd -ga)/(bd -ea) . . . . same denominator as for x
I like to use Cramer's Rule when the solution is needed without a lot of steps. Here, we could use the Elimination method to eliminate the y-variable and solve for x. Then more steps are needed to find y. The writing out and explanation are tedious, so it is much simpler just to use a formula that gives the answer.
