Answer: x-intercept = -1, 1, 2, 3
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.
Melanie:
Amount after 5 years = 4000(1 + 0.04)⁵ = $4867
Gina:
Amount after 5 years = 4000 + 5(0.045 x 4000) = $4900
Answer: Gina has the greater balance and her balance is $4900.
Answer:
9x - 22
Step-by-step explanation:
9514 1404 393
Answer:
108 cm
Step-by-step explanation:
6 pencil-lengths will be ...
6 × 18 cm = 108 cm
The length of the table is 108 cm.
