6.5X + 9(30) = 8(30+X)6.5X +270 = 240 + 8X270-240 = 8X-6.5X1.5X = 30X = 30/1.5 =20 ounces of $6.50 alloy9 is within 1 of 86.5 is within 1.5 of 81.5 is 3/2 of 130 is 3/2 of 20You know you need more of $9 alloy since it's closer to $8You need exactly 3/2 or 1.5 times more of the $9 alloy30 is 1.5 times 20
45
15 is a multiple of 3
30 is a multiple of 3
45 is NOT a multiple of 3
60 is a multiple of 3
Ect.
Y and x are directly proportional, as stated by hypothesis. Let's use the rule of three to find y when x = 8.
x=5 --> y=12
x=8 --> y=?
? = (8*12)/5 = 96/5 = 19.2
So y directly varies with x, and y=12 when x = 5, then y=19.2 when x=8.
Hope this Helps! :D
d(4) = 64
substitute n = 2, 3, 4 into d(n) = d(n - 1) + 17
d(2) = d(1) + 17 = 13 + 17 = 30
d(3) = d(2) + 17 = 30 + 17 = 47
d(4) = d(3) + 17 = 47 + 17 = 64
When solving an equation, you must do the same thing to both sides or else it won't be equal
when dealing with one unknown (x) try to get the unknown on one side
2(x-3)=1.2-x
distribute or multiply 2 by x then -3
so (2 times x)+(2 times -3[remember negative times positive=negative])
2x-6=1.2-x
add 6 to both sides
2x=7.2-x
add x to both sides
3x=7.2
divide both sides by 3
x=2.4
