Answer:
x=12
Step-by-step explanation:
12(x+8)= 8(30)
Distribute
12x+ 96= 240
Subtract 96 on both sides
12x= 144
Divide 12 on both sides
x=12
First turn 55% into a decimal, which is .55, then use that and multiply it by 900 to get an answer of 495.
Veronica traveled at 85 miles for 6 days and 52 miles on the final day making the total number of days traveled 7 days
<em><u>Solution:</u></em>
Veronica traveled 562 miles to Venice, Florida
She drove 85 miles every day
Let "d" be the number of days she drove 85 miles per day
On the last day of her trip she only drove 52 miles
Therefore, we frame a equation as,
Total miles = 85 miles every day for "d" days + last day
Total miles = 85(d) + 52
Total miles = 85d + 52
562 = 85d + 52
85d = 562 - 52
85d = 510
d = 6
She traveled at 85 miles for 6 days and 52 miles on the final day making the total number of days traveled 7
Answer:
slope = 2/5 and y Intercept = -5
y = 2/5x - 5
Answer:
(x, y) = (6, -2)
Step-by-step explanation:
Sometimes this solution method is called "addition" or "elimination." You want to multiply one or both equations by a value or values that make the coefficients of one of the variables be opposites. Then when you add the equations, the result is an equation without that variable. (One variable has been eliminated.)
Multiply the first equation by -2 to make its x-coefficient the opposite of that in the second equation. Then add the two equations:
-2(3x +3y) = -2(12)
-6x -6y = -24
Add the second equation ...
(-6x -6y) +(6x +11y) = (-24) +(14)
5y = -10 . . . . . simplify
y = -2 . . . . . . . divide by 5
__
3x +3(-2) = 12 . . . . . substitute into the first equation
3x = 18 . . . . . . . . . . add 6
x = 6 . . . . . . . . . . . . divide by 3
The solution is (x, y) = (6, -2).