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mote1985 [20]
3 years ago
8

40)

Mathematics
1 answer:
slavikrds [6]3 years ago
3 0

Answer:

Part 1) 2.1 cups of cream

Part 2) 4.2 cups of dark chocolate

Step-by-step explanation:

we know that

The recipe for 20 chocolate truffles is:

I cup of cream

2 cups of dark chocolate

step 1

Find how many cups of cream are needed for 42 truffles

using proportion

Let

x-----> the number of cups of cream needed

20/1=42/x

x=42/20=2.1 cups of cream

step 2

Find how many cups of dark chocolate are needed for 42 truffles

using proportion

Let

x-----> the number of cups of dark chocolate needed

20/2=42/x

x=42*2/20=4.2 cups of dark chocolate

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1) Find the GCF for 45a^3b^2 and 15ab
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We want to find the greatest common factor of two given expressions.

The GCF is 15*a*b.

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45*a^3*b^2 and 15*a*b

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45*a^3*b^2 = (3*15)*(a^2*a)*(b*b)

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(3*15)*(a^2*a)*(b*b) = (15*a*b)*(3*a^2*b)

Then we have:

45*a^3*b^2 =  (15*a*b)*(3*a^2*b)

So we can see that 15*a*b is a factor of 45*a^3*b^2, then the GCF between 15*a*b and 45*a^3*b^2 is just 15*a*b.

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