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Inga [223]
3 years ago
8

Please help me solve this!!!!!

Mathematics
1 answer:
gulaghasi [49]3 years ago
8 0

Answer

Burger meal = $8 and Hot dog meal = $6

Step-by-step explanation:

Let's use "x" to represent burger meals and "y" to represent hot dog meals.

Garcia family:

3x + 4y = $48

Baker family:

6x + 2y = $60

We have to first compare both families' and then eliminate one of our common variables, either the "x" or "y".

3x + 4y = $48

6x + 2y = $60

Let's eliminate "x". To do this we can multiply "3x" by "-2" to get "-6x". This will cancel out "6x":

-2 (3x + 4y = $48) ...our new equation would be....

-6x - 8y = -$96

Now to add our two families' equations together...

-6x - 8y = -$96

+

6x + 2y = $60

=

- 6y = -$36

Divide both sides by "-6" to get "y" by itself.

y = $6

We now know the value of "y" <em>or </em>one hot dog meal. Next, we want to solve for "x", our variable for the hamburger meal... We will plug in our y value to help us...

3x + 4(6) = $48

3x + 24 = $48

We want to get our x by itself. First, we can subtract 24 from each side.

3x = $24

Then we will divided both sides by 3 to get x alone.

x = $8

To check our work we can plug in our values for both "x" and "y" to see if they add up to $48 and $60:

3(8) + 4(6) = $48

24 + 24 = $48

and...

6(8) + 2(6) = $60

48 + 12 = $60

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IgorLugansk [536]

Answer:

10m x 15m

Step-by-step explanation:

You are given some information.

1. The area of the garden: A₁ = 150m²

2. The area of the path: A₂ = 186m²

3. The width of the path: 3m

If the garden has width w and length l, the area of the garden is:

(1) A₁ = l * w

The area of the path is given by:

(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36

Multiplying (2) with l gives:

(3) A₂l = 6l² + 6lw + 36l

Replacing l*w in (3) with A₁ from (1):

(4) A₂l = 6l² + 6A₁ + 36l

Combining:

(5) 6l² + (36 - A₂)l +6A₁ = 0

Simplifying:

(6) l² - 25l + 150 = 0

This equation can be factored:

(7) (l - 10)*(l - 15) = 0

Solving for l we get 2 solutions:

l₁ = 10, l₂ = 15

Using (1) to find w:

w₁ = 15, w₂ = 10

The two solutions are equivalent. The garden has dimensions 10m and 15m.

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3 years ago
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xxTIMURxx [149]

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3 years ago
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