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3 years ago

10

Are u able to answer all three questions please

1 answer:

DaniilM [7]3 years ago

4 0

1) The prime factors for 25 are 5 and 5 (5x5 is 25) which add up to 10
26s prime factors are 2 and 13, which equal 15
Finally, 27s factors are 3,3, and 3; which equals 9 ~ 26 is the best option
2) The prime factorization of 27 is 3, 3, 3 - they used 9 and 3 (not the lowest terms)
3) There is more than one way to come up with 36, and only one way for 15 (other than 1) Ex. 8x4=36 & 9x4=36 5x3=15

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The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho

mestny [16]

30 ounces of the coffee John likes consists of

$0.96\cdot30=28.8$ ounces of water
$0.04\cdot30=1.2$ ounces of cocoa

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 $x$ :

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

$\implies0.39=0.027x$

$\implies x\approx14.4$

###

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.

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3 years ago

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WARRIOR [948]

Answer:

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Step-by-step explanation:

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