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jek_recluse [69]
3 years ago
15

Please help me solve this?

Mathematics
1 answer:
jenyasd209 [6]3 years ago
6 0

Recipe is for 24 pieces, and required quantity is 16.

So the ratio is 16/24 = 2/3 means we need to reduce all ingredients to 2/3 of the given quantities. Not all recipes can be reduced prorata, but we will assume it can be done. A word of caution: the measurement of quantities will become awkward (like 3/8 of a teaspoon of salt, etc). The practical way is to make the full recipe, and invite friends to take home the remainder.

Here's the scaled recipe

Butter 1cup*3/4 = 3/4 cup

unsweetened chocolate = 4*3/4 = 3 squares

white sugar = 2 * 3/4 = 1 1/2 cups

eggs = 4 * 3/4 = 3 eggs

A.P. flour = 1 cup * 3/4 = 3/4 cups

vanilla extract = 1 * 3/4 = 3/4 teaspoons

salt = 1/2 * 3/4 = 3/8 teaspoons

chopped walnuts = 2 * 3/4 = 1 1/2 cups


For this reason, there is a trend to use weights (in grams) than volumes to make scaling recipes easier.

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A square fits exactly inside a circle with each of the vertices being on the circumference of the circle. The square has sides l
NNADVOKAT [17]

Answer: The value of x is 5.970.

Step-by-step explanation:

Given: The square has sides length of X cm.

Let r be the radius of the circle.

The square fits exactly inside a circle with each of the vertices being on the circumference of the circle.

Then diagonal of square = diameter of circle

i.e. \sqrt{2}x= 2r    [Diagonal of square = \sqrt{2}(side)]

i.e. r=\dfrac{x}{\sqrt{2}}

area of circle =\pi r^2

i.e. 56=\frac{22}{7}(\frac{x}{\sqrt{2}})^2

56=\frac{22}{7}\times\frac{x^2}{2}\\\\\Rightarrow\ x^2= \dfrac{7}{11}\times56\\\\\Rightarrow\ x^2=35.636\\\\\Rightarrow\ x=\sqrt{35.636}\approx5.970

Hence, the value of x is 5.970.

4 0
3 years ago
The Rangers won five of the first six games. how many of the next 30 games must the rangers wins have twice as many wins as loss
barxatty [35]

Using proportions, it is found that they must win 19 of their next 30 games.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

We want a win-to-loss proportion of 2:1, which is equivalent to a win-to-total proportion of 2:3. We have that:

  • The team will have won 5 + x games.
  • The team will have played 36 games.

Hence:

\frac{5 + x}{36} = \frac{2}{3}

3(5 + x) = 72

15 + 3x = 72

3x = 57

x = 19.

The Rangers must win 19 of their next 30 games.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

6 0
2 years ago
Find an exact value. cosine of nineteen pi divided by twelve.
zaharov [31]
The answer is -0.083333333333333
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Answer:

Finish the question

Step-by-step explanation:

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Answer:

31

Step-by-step explanation:

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