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lana66690 [7]
3 years ago
5

Chocolate cake for 6 people needs 150g of flour, 150g of sugar, 120g of cocoa and 3 eggs. Emma has 8 eggs, 450g flour, 380g suga

r, 300g of cocoa. What’s the maximum number of people that she can make for a cake?
Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0
First you would need to dive what you have of each ingredient by how much you need for 6 people.

Flour: 450 ÷ 150 = 3
Sugar: 380 ÷150 = 2 
Cocoa: 300 ÷ 120 = 2.5
Eggs: 8 ÷ 3 = 2.7

then you look at the total batches each could make and average it to 2 batches. then multiply 6 by 2.

6×2= 12 

so all together, the maximum amount of people you can make for is 12.
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<u>Given</u>:

Let A denote the angle of the given triangle which measures ∠A = 81°

Let B denote the angle which measures ∠B = 40°

The length of the side a = x.

The length of the side b = 7 cm.

We need to determine the value of x.

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The value of x can be determined using the law of sine formula.

Applying the law of sine, we have;

\frac{sin \ A}{a}=\frac{sin \ B}{b}

Substituting the values, we have;

\frac{sin \ 81^{\circ}}{x}=\frac{sin \ 40^{\circ}}{7}

Simplifying, we get;

\frac{0.988}{x}=\frac{0.643}{7}

Cross multiplying, we have;

0.988 \times 7=0.643 x

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2 years ago
four times a number decreased by 6 is less than -2. Define a variable, write an inequality, and solve for the number​
Strike441 [17]

The inequality is 4x - 6 < - 2 and solution for number is x < 1, where "x" is the variable

<em><u>Solution:</u></em>

Given that four times a number decreased by 6 is less than -2

To find: Define a variable, write an inequality, and solve for the number​

Let "x" be the required number

From given information,

four times a number decreased by 6 < -2

four times "x" decreased by 6 < - 2

Here "times" represents multiplication. Four times x means 4 is multiplied by x

Decreased means something is subtracted away

Here 6 is subtracted from four times "x"

<em><u>So we frame a inequality as:</u></em>

4x - 6 < - 2

Moving -6 from R.H.S to L.H.S,

4x < -2 + 6

4x < 4

Dividing both sides by 4,

x < 1

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A company's prospectus includes:
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A company's prospectus includes: A) The company's investment options.

<h3>What is a company's prospectus?</h3>

Company's prospectus can be defined as the document that entails  detail information of a company investment option that are available for sales to potentials buyers or investors.

Examples of the investment options are:

  • Bonds
  • Stocks
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Therefore the correct option is A.

Learn more about company's prospectus here:brainly.com/question/27245796

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1 year ago
A sphere has a diameter of 12 meters. What is its exact surface area and its exact volume?
Karo-lina-s [1.5K]

Answer:

The exact value of its surface area = 144π m²

The exact value of its volume = 288π m³

Step-by-step explanation:

∵ The diameter of the sphere is 12m

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