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nikklg [1K]
2 years ago
13

Un grupo de amigos toman un refresco cada uno y deben pagar 9 € por el total de las consumiciones. Como hay dos que solo pueden

poner 1 €, los demás deben aumentar su aportación en 0,25 € cada uno. ¿Cuántos amigos son?
Mathematics
1 answer:
Fed [463]2 years ago
7 0

Answer:

6 friends (4 pay € 1.75 and 2 pay € 1)

Step-by-step explanation:

We have to:

x = friends

y = payment

x * y = 9

y = 9 / x

It follows from the problem:

(x-2) * (y + 0.25) = 9 - 2

(x-2) * (9 / x + 0.25) = 7

x * 9 / x + 0.25 * x - 2 * 9 / x - 2 * 0.25 = 7

9 + 0.25 * x - 18 / x - 0.5 = 7

multiply by 100

100 * 0.25 * x - 100 * 18 / x + 100 * (9 - 0.5 - 7) = 0

25 * x - 1800 / x + 150 = 0

multiply by x

25 * x ^ 2 + 150 * x - 1800 = 0

we factor:

(x - 6) * (x + 12) = 0

x = 6

x = -12

The positive value is taken: x = 6

Each one had to pay = 9/6 = € 1.5

But as two pay € 1, 4 will pay € 0.25 more: 1.5 +0.25 = € 1.75

Thus :

(4 * 1.75) +2 (1) = € 9

Therefore, they are 6 friends (4 pay € 1.75 and 2 pay € 1)

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Amanda is placing an order for running shoes and leather boots for her footwear boutique. She needs a total of 48 pairs of shoes
Basile [38]

Constraint 1:

Let the total number of running shoes be = R

Let the total number of leather boots be = L

As the given number of total shoes are 48,

The equations becomes,

R + L = 48............(1)

Constraint 2:

As running shoes are twice the leather boots, equation becomes,

R = 2L..............(2)

Putting the value of R from equation(2) in equation (1)

2L+ L=48

3L=48

L=16

Now putting the value of L in equation(2)

R= 2L

R = 2*16

R=32

Hence, Amanda needs 16 pairs of leather boots and 32 pairs of running shoes.

4 0
2 years ago
Explain how making a table helps to compare two or more sets of data that have been presented in different ways.
vlabodo [156]
Making a table helps compare two or more sets of data because you can see how much it has increased or decreased. 
4 0
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This star is made up of 4 equilateral triangles of equal area and a square.
pentagon [3]

Answer:

24 cm

Step-by-step explanation:

Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.

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Solution:

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Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music he is supposed to be wo
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Answer:

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

Step-by-step explanation:

Let

t ------> is the number of minutes he spends on each scale

Remember that the phrase "at least"  is equal to "greater than or equal"

so

The inequality that represent this scenario is

70-5t \geq 55

solve for t

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Sven is incorrect

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Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

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2 years ago
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