There are 32 nickels and 112 dimes. Hope this helps.
Let Casey's age be x
Brian's age will be -3 from 2 times x ( Casey's age ) so it will be 2x-3
Adam's age will be Casey's age (x) + 9 which is x+9
NOW the sum of all these ages is 46 so..
Casey's age + Brian's age + Adam's age = 46
x + 2x-3 + x+9 = 46
2x + x + x + 9 -3 = 46
4x + (9 - 3) = 46
4x - 6 = 46
now transfer the numbers on the left one by one to the other side( right )
4x = 46 - 6 ( always remember the sign of the number becomes the opposite when we transfer them to other side)
4x = 40
x = 40 / 4
x = 10
so x = Casey's age = 10
2x - 3 = Brian's age = 2 * 10 - 3
= 20 - 3 = 17
x + 9 = Adam's age = 10 + 9 = 19
Answer:
Step-by-step explanation:
Remember the general form of a linear equartion: y=mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
The equation of line v (y=9x+1) has a slope of 9. A perpendicular line with have a slope equal to the negative inverse of the reference line. So the line we want will have a slope of -(1/9). That gives us y = -(1/9)x + b. Any vale of b will produce a line that is perpendicular. But we want a line that goes through point (3,-2). All we need to do is find a value for b that will make that wish come true.
Use the point (3,-2) in y = -(1/9)x + b and solve for b:
y = -(1/9)x + b
-2 = -(1/9)*(3) + b
-2 = -(1/3) + b
b = - 1 2/3, or -(5/3)
The equation is y = -(1/9)x + - (5/3)
Answer:
x = 9/2 or x= 4.5
Step-by-step explanation:
you factor out the equation:
5x-15=3x-6
+15 +15
5x=3x+9
-3x -3x
2x=9
x=9/2 or 4.5