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bogdanovich [222]
2 years ago
10

43.

Mathematics
1 answer:
aleksklad [387]2 years ago
4 0

Answer:

4.12 kg

Step-by-step explanation:

Regular cakes:

1 dozen normal sponge cakes: 264 g plain flour

Vegetarian cakes:

1 dozen cakes: 264 g plain flour

4 eggs are replaced by 4 * 30 g of flour = 120 g flour

total flour for 1 dozen vegetarian cakes = 264 g + 120 g = 384 g

Proportion for regular cakes:

12 cakes to 264 g flour = 100 cakes to x grams flour

12/264 = 100/x

12x = 26400

x = 2200

2200 g flour for 100 regular cakes

Proportion for vegetarian cakes:

12 cakes to 384 g flour = 60 cakes to y grams flour

12/384 = 60/y

12y = 384 * 60

12y = 23040

y = 1920

1920 g flour for 60 vegetarian cakes

Total flour needed:

2200 g + 1920 g = 4120 g

4120 g * 1 kg/(1000 g) = 4.12 kg

Answer: 4.12 kg

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5x^2-7x=4x^2-10 solve
Luda [366]

Answer:

x = 0, x = - 3

Step-by-step explanation:

Given

5x² - 7x = 4x² - 10 ← subtract 4x² - 10x from both sides

x² + 3x = 0 ← in standard form

Factor out x from each term

x(x + 3) = 0

Equate each factor to zero and solve for x

x = 0

x + 3 = 0 ⇒ x = - 3

5 0
3 years ago
Two ladders AB and PQ are resting against opposite
muminat

Answer:

The length of the longer ladder is 35 ft Step-by-step explanation: Please check the attachment for a diagrammatic representation of the problem We want to calculate the length of the longer ladder ; We make reference to the diagram Since the two right triangles formed are similar. the ratios of their sides are equal; Thus; 20/15 = 28/x + 15 20(x + 15) = 15(28) 20x + 300 = 420 20x = 420-300 20x = 120 x = 120/20 x = 6 So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides Let the hypotenuse be marked x x^2 = 28^2 + 21^2 x^2 = 1,225

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5 0
2 years ago
Quick please no links or anything just the straight up answer answer both please
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4 0
2 years ago
One number is 3 times another. If the sum of the two numbers is 15, find the two numbers.
gregori [183]

Answer:

15/4 and 45/4

Step-by-step explanation:

Let x and y be the numbers

x = 3y

x+ y = 15

Substitute the first equation in to the second equation

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y = 15/4

x = 3(15/4)

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8 0
2 years ago
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Karolina [17]

Answer:

B  -1/2

Step-by-step explanation:

4x+8y = 11

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Subtract 4x from each side

4x-4x+8y = -4x+11

8y = -4x+11

Divide by 8

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The slope is -1/2 and the y intercept is 11/8

8 0
3 years ago
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