To this mixture we're adding $x$ ounces of water, so that the new mix has a total volume of $30+x$ ounces and matches the composition of the coffee Lily likes. This means it would consist of

$0.973\cdot(30+x)=28.8+x$ ounces of water
$0.027\cdot(30+x)=1.2$ ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for $x$ :

$0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x$

$\implies0.39=0.027x$

$\implies x\approx14.4$

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Just to confirm: the new mixture consists of

$28.8+14.4=43.2$ ounces of water
$1.2+0=1.2$ ounces of cocoa

giving a total volume of $43.2+1.2=44.4$ ounces of coffee, and $\dfrac{43.2}{44.4}\approx0.973$ , as required.

4 0

3 years ago

Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs. Does this situation represent additive inverses?Expl

MariettaO [177]

Yes due to the fact that additive inverse is the oppsite. so she runs up +4 and runs down -4.

6 0

2 years ago