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2 years ago

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Mathematics

1 answer:

faltersainse [42]2 years ago

5 0

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Step-by-step explanation:

Let,

Price of one vegetarian special lunch = x

Price of one chicken special lunch = y

According to given statement;

21x+40y=467 Eqn 1

28x+36y=484 Eqn 2

Multiplying Eqn 1 by 28

$28(21x+40y=467)\\588x+1120y=13076\ \ \ Eqn\ 3$

Multiplying Eqn 2 by 21

$21(28x+36y=484)\\588x+756y=10164\ \ \ Eqn\ 4$

Subtracting Eqn 4 from Eqn 3

$(588x+1120y)-(588x+756y)=13076-10164\\588x+1120y-588x-756y=2912\\364y=2912$

Dividing both sides by 364

$\frac{364y}{364}=\frac{2912}{364}\\y=8$

Putting y=8 in Eqn 1

$21x+40(8)=467\\21x+320=467\\21x=467-320\\21x=147$

Dividing both sides by 21

$\frac{21x}{21}=\frac{147}{21}\\x=7$

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

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Inga [223]

Answer:

Amount of green color used =

$\dfrac{64}{7}\text{ gallons}$

Step-by-step explanation:

We are given the following in the question:

Every 4 gallons of green paint is mixed with 3 gallons of blue paint. to make a particular shade.

Ratio of green color to blue paint can be calculated as:

$=\dfrac{\text{Amount of green color}}{\text{Amount of blue color}}\\\\=\dfrac{4}{3}$

Amount of shade = 16

Amount of green paint = $4x$

Amount of blue paint = $3x$

Thus, we can write:

$4x + 3x = 16\\7x = 16\\\\x = \dfrac{16}{7}$

Amount of green color used =

$4x = 4\times \dfrac{16}{7} = \dfrac{64}{7}\text{ gallons}$

Amount of blue paint used =

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2 years ago

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nata0808 [166]

Answer:

$(7C4) (2x)^4 (-y)^{7-4}$

And replacing we got:

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And then the final term would be:

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Step-by-step explanation:

For this case we have the following expression:

$(2x-y)^7$

And we can use the binomial theorem given by:

$(x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}$

And for this case we want to find the fourth term and using the formula we have:

$(7C4) (2x)^4 (-y)^{7-4}$

And replacing we got:

$35 (2^4) x^4 (-y)^{-3}$

And then the final term would be:

$-560 x^4 y^3$

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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