Amanda used 3/4 cup of sugar to make 2 dozen cookies. How much sugar is in each cookie? (Dozen=12)

2 answers:

7 0

I believe that the answer is 1/32 cup because two dozen = 2x12=24 each cookie has 1/24 of sugar. then you have to get 3/4 divided by 24 which is 3/96. which that equals to 1/32. Hope this helps

Black_prince [1.1K]3 years ago

6 0

$\bf \cfrac{\quad \frac{3}{4}\quad }{\stackrel{\textit{two dozen}}{24}}\implies \cfrac{\quad \frac{3}{4}\quad }{\frac{24}{1}}\implies \cfrac{3}{4}\cdot \cfrac{1}{24}\implies \cfrac{3}{96}$

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Answer both please, the topic is linear inequalities, and please explain it to me.

Bogdan [553]

Question 1 solution:
You have two unknowns here:

Let the Water current speed = W

Let Rita's average speed = R

We are given two situations, where we can form two equations, and therefore solve for the two unknowns, W, R:

Part 1) W→ , R←(against current, upstream)
If Rita is paddling at 2mi/hr against the current, this means that the current is trying to slow her down. If you look at the direction of the water, it is "opposing" Rita, it is "opposite", therefore, our equation must have a negative sign for water:

R–W=2 - equation 1

Part 2) W→ , R→(with current)
Therefore, R+W=3 - equation 2

From equation 1, W=R-2,
Substitute into equation 2.
R+(R–2)=3
2R=5
R=5/2mi/hr

So when W=0 (still), R=5/2mi/hr

Finding the water speed using the same rearranging and substituting process:

1... R=2+W
2... (2+W)+W=3
2W=1
W=1/2mi/hr

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Veronika [31]

I HOPE IT WILL HELP YOU. I DID HOW I KNOW .