Suppose the number is x, its reciprocal is 1/x
x+1/x=13/6
(x^2+1)/x=13/6
6(x^2+1)=13x
6x^2-13x+6=0
(3x-2)(2x-3)=0
x=2/3 or x=3/2
1 container = 55 balls
x 9 x 9
9 containers = ? balls
55 x 9 = 495
<u><em>The answer is 495 balls</em></u>
X = price of the ingredients
so based on the proportion , we can write that :
Almonds needed = x = $ 12 x
peanut needed = 2x = 2x * $ 8 = $ 16x
raisins needed = 3x = 3x * $6 = $ 18x
Equation =
12x + 16x + 18x ≤ $ 23
46x = $23
x = $ 0.5
The pound of mix he can made :
0.5 * 1 pound of almond + 0.5 x * 2 pound of peanuts + 0.5 * 3 pound of raisins
= 3 Pound of mix
Answer:
x = 2 or 1/4
Step-by-step explanation:
-13/4 -x= 1/2x -1
Collect like terms
-13/4+1=1/2x+x
Using LCM
(-13+4)/4=(1+2x²)/2x
9/4=(1+2x²)/2x
Cross multiply
9(2x)=4(1+2x²)
18x=4+8x²
Turn into quadratic and solve
8x²-18x+4
Using formulae method
-b±(√b²-4ac)/2a
Where a=8, b= -18 and c=4
(-(-18)±(√(-18)²-4(8)(4))/2(8)
(18±(√324-128))/16
(18±√196)/16
(18±14)/16
(18+14)/16 or (18-14)/16
32/16 or 4/16
2 or 1/4
