Answer:
x=2
Step-by-step explanation:
h(8)=5x-2
+2 +2
10=5x
Divide both sides by 5
x=2
For the mix you need 60 Ib of nuts and raisins, and 60 lb of mix will sell for $300.
Let <em>x</em> be the weight of nuts and <em>y</em> the weight of raisins needed for the mix.
Total weight = <em>x</em>+<em>y</em> = 60, so <em>y</em> = 60 - <em>x</em>
Total value = 6<em>x</em> + 3<em>y</em> = 300. From the above, we can substitute the <em>y</em> for 60 - x:
Total value = 6<em>x</em> + 3(60 - <em>x</em>) = 300, which we can simplify to:
6<em>x</em> + 180 - 3<em>x</em> = 300, and simplify again to:
3<em>x</em> = 120, and again to:
<em>x</em> = 40. We can now calculate<em> y</em> from the first equation y = 60 - <em>x</em>, so:
y = 20.
40 lb of nuts and 20 lb of raisins. Check:
40 lb x $6/lb = $240, and 20 lb x $3/lb = $60, $240 + $60 = $300.
Answer:
2
Step-by-step explanation:
Let x represent the number.
4x^2 = 8x . . . . . 4 times the square of a number is 8 times that number
4x^2 -8x = 0 . . . . subtract 8x
4x(x -2) = 0 . . . . . factor
x = 0 or x = 2 . . . . the product is zero when the factors are zero
The positive number is 2.
