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levacccp [35]
3 years ago
10

patrick used 2 cups of sugar to make 6 dozen cookies, how much sugar does he need to use to make 36 cookies?

Mathematics
1 answer:
frez [133]3 years ago
7 0
Hello! 12 make a dozen. 12 * 6 is 72. 72 cookies make 6 dozen. 2 cups of sugar are needed to make 6 dozen. 36 cookies is 3 dozen, because 3 * 12 is 36. 36 is ½ of 72, so we would need ½ of the amount of sugar needed for 6 dozen cookies for 3 dozen cookies. ½ of 2 is 1. There. 1 cup of sugar is needed to make 3 dozen cookies.
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Allen's work is not written properly so I have rearranged it as shown below:


Original problem) –8.3 + 9.2 – 4.4 + 3.7.

Step 1) −8.3 + 9.2 + 4.4 + 3.7 Additive inverse

Step 2) −8.3 + 4.4 + 9.2 + 3.7 Commutative property

Step 3) −8.3 + (4.4 + 9.2 + 3.7) Associative property

Step 4) −8.3 + 17.3


We can see that in step 1), Allen changed -4.4 into +4.4 using additive inverse. Notice that we are simplifying not eliminating -4.4 as we do in solving some equation. Hence using additive inverse is the wrong step.


Alen should have collect negative numbers together and positive numbers together.

Add the respective numbers then proceed to get the answer.


–8.3 + 9.2 – 4.4 + 3.7

= –8.3 – 4.4 + 9.2 + 3.7

= -12.7 + 12.9

= 0.2



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