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3 years ago

11

how much of each ingredient would you make an identical recipe that serves 24 people? explain your answer

1 answer:

Assoli18 [71]3 years ago

3 0

Ok, so increasing a recipe originally for 16 to 24, you need to figure out how many times larger you need the recipe, so divide 24 by 16, and you get 1.5 (one and a half times larger)
You then just need to take each ingredient amount and multiply it by 1.5
2 cans chopped clams x 1.5 = 3 cans
4 cups broth x 1.5 = 6 cups
6 cups milk x 1.5 = 9 cups
4 cups cubed potatoes x 1.5 = 6 cups
Does this make sense?

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If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 3 and passes through point (2, 5).

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Part A: The equation of the ship's path is $y=3x-1$

Part B: The two ships sails perpendicular to each other.

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Part A: It is given that $m=3$ and point (2, 5)

Substituting these in the slope intercept form, we have,

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$\begin{aligned}y-5 &=3(x-2) \\y-5 &=3 x-6 \\y &=3 x-1\end{aligned}$

Thus, the equation of the ship's path in slope intercept form is $y=3x-1$

Part B: The equation of the second ship is $x+3 y-6=0$

Let us bring the equation in the form of slope intercept form.

$\begin{aligned}3 y &=-x+6 \\y &=-\frac{1}{3} x+2\end{aligned}$

Thus, from the above equation the slope is $m=-\frac{1}{3}$

To determine the two ships sailing perpendicular to each other, we have

$m_{1} \times m_{2}=-1$

where $m_{1}=3$ and $m_{2}=-\frac{1}{3}$

$\begin{aligned}3 \times-\frac{1}{3} &=-1 \\-1 &=-1\end{aligned}$

Since, both sides of the equation are equal, these two ships sails perpendicular to each other.

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