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Snezhnost [94]
3 years ago
6

Khianna wants to make a batch of her Grandma chocolate chip cookies from a friend. The recipe is shown on the recipe card below

( in the photo)
She realizes she only has 1 1/8 cup of brown sugar but plenty of all of he other ingredients. Complete the following to help him determine how she can still make cookies with the recipe
1. What fractional part of the brown sugar needed does she have

3. Fill out the new recipe with the amount of each ingredient ___ cups butter
___ cups flour ___ eggs __tsp baking soda __tsp vanilla ___ cups sugar __1 1/8
___ ounces chocolate chips

How many cookies will the scaled down recipe make? Show your work.

Mathematics
1 answer:
romanna [79]3 years ago
8 0
Poor <span>Khianna.  Let's help her out.

For the original recipe she needs </span>1 \frac 1 2 = \frac 3 2 cups of brown sugar but only has 1 \frac 1 8 = \frac 9 8 .  So the fraction of the brown sugar she has is

\dfrac{ \frac{9}{8} }{\frac 3 2} = \frac 9 8 \times \frac 2 3 = \frac 3 4

She has to scale everything by a factor of  \frac 3 4

I won't multiply everything by 3/4 for you.  2 cups butter becomes 1 and a half cups butter, 1 tsp vanilla becomes 3/4 tsp, etc.


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Answer:

50% profit

Step-by-step explanation:

Cost price = £ 5000

Selling price = £ 7500

Profit  = Selling price - cost price

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Profit percentage = \frac{2500}{5000}*100

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8 0
3 years ago
What are all values of x for which the series shown converges? ​
adoni [48]

Answer:

One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:

Iaₙ₊₁I < IaₙI

This means that the absolute value of the terms must decrease as n increases.

Then we must have:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}

We can write this as:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}

If we assume that n is a really big number, then:

n + 1 ≈ 1

And we can write:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}

Then we have the inequality

1 > (x - 2)/3

And remember that this must be in absolute value, then we will have that:

-1 < (x - 2)/3 < 1

-3 < x - 2 < 3

-3 + 2 < x < 3 + 2

-1 < x < 5

The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.

5 0
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A

Step-by-step explanation:

because it makes more sense

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lys-0071 [83]

Explanation:

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<em>Discussion</em>

Urgent care centers are often open all hours, but may not be as fully equipped (or staffed) to provide the sort of emergency medicine that a fully-equipped hospital can provide. While a general- or nurse-practitioner can provide routine care, they will consult with specialists when expertise is needed in a specific area.

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6 0
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Answer:

Step-by-step explanation:

1. Put y on the other side -  200x + 500 = y

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See, this works because -y, when bringing it to another side, you would be adding it. That cancels out the negative, giving you your slope-intercept form. All you have to do is flip it into y=mx + b form, and that's how you get y=200x + 500

7 0
3 years ago
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