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svp [43]
2 years ago
7

Write a story problem using mixed numbers that need to be scaled up.

Mathematics
1 answer:
Rudik [331]2 years ago
7 0
[Insert generic name here] is trying to bake a yellow cake because [reasons]. This recipe will make one whole cake.

3\frac{1}{4}\ cups\ of\ flour\\ 2\frac{1}{2}\ teaspoons\ of\ baking\ soda\\ \frac{1}{2}\ teaspoon\ of\ salt \\ 1\frac{3}{4}\ cups\ of\ sugar \\ \frac{2}{3}\ cup\ of\ butter \\ 2\ eggs\\ 1\frac{1}{2}\ teaspoons\ of\ vanilla\ \\ 1\frac{1}{4}\ cups\ of\ milk

He wants to make three cakes instead of one. How much of each item should be used in the new (scaled-up) recipe?

3\frac{1}{4}*3=9\frac{3}{4}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ cups\ of\ flour\\ 2\frac{1}{2}*2=4\frac{2}{2}=4+1=5\ \ \ \ \ teaspoons\ of\ baking\ soda\\ \frac{1}{2}*3=\frac{3}{2}=1\frac{1}{2}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ teaspoons\ of\ salt \\ 1\frac{3}{4}*3=3\frac{9}{4}=3+2\frac{1}{4}=5\frac{1}{4}\ cups\ of\ sugar

\frac{2}{3}*3=\frac{6}{3}=2\ \ \ \ \ \ cups\ of\ butter\\ 2*3=6 \ \ \ \ \ \ \ \ \ \ \ \ eggs\\ 1\frac{1}{2}*3 = 3\frac{3}{2} = 4\frac{1}2\ teaspoons\ of\ vanilla\ \\ 1\frac{1}{4}*3=3\frac{3}{4}\ \ \ \ \ \ \ \ cups\ of\ milk

I don't know exactly how your teacher wants you to write out the work, but I have it pretty simple there. It's not like math is tailored to a specific process; any sort of reasonable work should do.

Good luck!
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Please HELP!!!!
Karolina [17]

Answer:


Step-by-step explanation:

Firstly, note that -2i really is just z = 0 + (-2)i, so we see that Re(z) = 0 and Im(z) = -2.

When we're going from Cartesian to polar coordinates, we need to be aware of a few things! With Cartesian coordinates, we are dealing explicitly with x = blah and y = blah. With polar coordinates, we are looking at the same plane but with angle and magnitude in consideration.

Graphing z = -2i on the Argand diagram will look like a segment of the y axis. So we ask ourselves "What angle does this make with the positive x axis? One answer you could ask yourself is -90°! But at the same time, it's 270°! Why do you think this is the case?

What about the magnitude? How far is "-2i" stretched from the typical "i". And the answer is -2! Well... really it gets stretched by a factor of 2 but in the negative direction!

Putting all of this together gives us:

z = |mag|*(cos(angle) + isin(angle))

= 2*cos(270°) + isin(270°)).

To verify, let's consider what cos(270°) and sin(270°) are.

If you graph cos(x) and look at 270°, you get 0.

If you graph sin(x) and look at 270°, you get -1.

So 2*(cos(270°) + isin(270°)) = 2(0 + -1*i) = -2i as expected.

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4%is the answer you are looking for

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Step-by-step explanation:

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