In the process of milling grain, 3% of the original is lost because of spillage,

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

4 0

Answer:

450.8 tons of grain remain to be sold after milling.

Step-by-step explanation:

We know that in total 8% of the original grain is lost (3% spillage + 5% mildew). We can multiply the original 490 tons by 8% to find out how many tons are lost.

490 × 8% ----> 490 x 0.08= 39.2 tons.

We now know that 39.2 tons are lost. We subtract this from the original to see how much remains.

490 - 39.2= 450.8 tons.

We have 450.8 tons remaining.

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Anuta_ua [19.1K]

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Answer:

(x, y) = (34/5, -4/5) = (6.8, -0.8)

Step-by-step explanation:

Subtract the first equation from the second to eliminate x.

$\left(\dfrac{x}{3}-\dfrac{y}{2}\right)-\left(\dfrac{x-5}{3}+\dfrac{y+2}{3}\right)=\left(\dfrac{8}{3}\right)-(1)\\\\y\left(-\dfrac{1}{2}-\dfrac{1}{3}\right)+\left(\dfrac{5}{3}-\dfrac{2}{3}\right)=\dfrac{5}{3} \qquad\text{partially simplify}\\\\-\dfrac{5}{6}y=\dfrac{2}{3} \qquad\text{subtract 1}\\\\y=-\dfrac{4}{5} \qquad\text{multiply by $-\dfrac{6}{5}$}$

Substituting for y in the second equation, we can find x.

$\dfrac{x}{3}-\dfrac{1}{2}\left(-\dfrac{4}{5}\right)=\dfrac{8}{3}\\\\5x +6=40 \qquad\text{multiply by 15}\\\\5x=34\qquad\text{subtract 6}\\\\x=\dfrac{34}{5}$