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3 years ago

HELPPPPPPPPP[PPPPPPPP FASTTTTTTTTTTTTT PLSSS

Mathematics

2 answers:

atroni [7]3 years ago

6 0

Answer:

0.75 or... 3/4 of a cup

Step-by-step explanation:

If helpful please give me brainliest.

Ray Of Light [21]3 years ago

4 0

Answer:

13.50 (12 servings)

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

13 × 2 = 26

Step 2: Add the product you got in Step 1 to the numerator:

26 + 1 = 27

Step 3: Divide the sum from Step 2 by the denominator:

27 ÷ 2 = 13.5

That's it folks! The answer to 13 1/2 in decimal form is displayed below:

13 1/2 =

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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

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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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4 years ago