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daser333 [38]
3 years ago
8

The Foster family bought 4 crates of eggs last week . Each crate had 18 eggs . Since then , they have eaten 28 of the eggs . How

many eggs are left
Mathematics
2 answers:
almond37 [142]3 years ago
6 0

If each crate has eighteen eggs and there are four crates, there are seventy-two eggs because 18*4=72. So if they had eating 28 eggs, then they have forty-four eggs left, because 72-28=44.

mr Goodwill [35]3 years ago
4 0
There are 44 eggs left.
Work:
4x18=72
72-28=44
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Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=
lys-0071 [83]

Answer:

\bold{x =cos\theta}\\\bold{y=sin\theta}

Step-by-step explanation:

The given system of linear equations is:

(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0

We have to solve the equations for the values of x, y.

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by sin\theta and second equation by cos\theta

Now, the equations become:

(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)

Now, let us add (1) and (2):

(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta

Using the equation:

(-sin\theta)x+(cos\theta)y=0

Putting value of y:

\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta

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\bold{x =cos\theta}\\\bold{y=sin\theta}

7 0
2 years ago
A área de um retângulo é igual a 44, sabendo que as suas medidas são iguais a 4 e (3x+2), calcule a medida do lado maior deste r
jekas [21]

Responda:

11

Explicação passo a passo:

Área do retângulo = comprimento * largura

Dado

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Área = 44

Substitua na fórmula e obtenha x

44 = 4 (3x + 2)

44 = 12x + 8

12x = 44-8

12x = 36

x = 36/12

x = 3

Obtenha os lados mais longos

Lado mais longo = 3x + 2

Substitua x = 3

Lado mais comprido = 3 (3) + 2

Lado mais comprido = 11

Portanto, a medida do lado mais longo deste retângulo é 11

4 0
2 years ago
What is the slope of this graphed line?
seropon [69]

Answer:

negative

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A line sloping upwards from left to right has a positive slope

A line sloping downwards from left to right has a negative slope

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3 years ago
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3 years ago
Two numbers have a average of 17. If one of the numbers is 11, what is the other number
Len [333]

Answer:

Other number is 23

Step-by-step explanation:

Let the two numbers be x and y.

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or 11 + y = 34

or y = 34 - 11

or y = 23


7 0
2 years ago
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