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3 years ago

1. Four muffins cost $12. Which model shows how to find the cost per muffin?

Mathematics

2 answers:

maria [59]3 years ago

5 0

Answer:

answer is A

Step-by-step explanation:

12/4 is 3. 3 dollars per muffin

gogolik [260]3 years ago

4 0

Answer:

Step-by-step explanation:

This is your answer because on the "dollars" row, there are 12 squares, just like there are $12 and on "muffins" there are four squares just like there are 4 muffins.

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Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi

miss Akunina [59]

Answer:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

Step-by-step explanation:

1st boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a$

Equation:

$y=ax^2 -2ax+c$

The y-coordinate of the vertex:

$y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1$

Solve:

$c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}$

Parabola equation:

$y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}$

2nd boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0$

Equation:

$y=ax^2+c$

The y-coordinate of the vertex:

$y_v=a\cdot 0^2+c\Rightarrow c=-7$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-7\\ \\64a-7=1$

Solve:

$a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7$

Parabola equation:

$y=\dfrac{1}{8}x^2 -7$

System of two equations:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

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3 years ago

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If $3,500 is invested at a rate of 6% , compounded continuously, approximately what amount of time would be needed to have a bal

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D.0.21 years is the answer

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2 years ago

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sergejj [24]

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5 x -3 +6

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You can make small 20 small frames in 4 days or 21 large frames in 3 days. A customer has just place a order with you for 40 sma

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Answer:

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Step-by-step explanation:

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3 years ago

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vlada-n [284]

The answer is a have a great day/night !

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2 years ago

1. Four muffins cost $12. Which model shows how to find the cost per muffin?​

1. Four muffins cost $12. Which model shows how to find the cost per muffin?