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Ilia_Sergeevich [38]
3 years ago
12

Tony tacos is selling 15 sodas for 10 dollars.Nicks nachos is selling 30 sodas for 20dollars. Write the ratios.Are the two ratio

s above proportional
Mathematics
1 answer:
Mandarinka [93]3 years ago
8 0

Answer: The ratios are proportional

Step-by-step explanation:

Tony tacos is selling 15 sodas for 10 dollars.

Nicks nachos is selling 30 sodas for 20dollars. The ratio of the number sodas sold by Tony tacos to the number of sodas sold by Nicks nachos is 15/30 = 1/2

The ratio of the cost of sodas sold by Tony tacos to the cost of sodas sold by Nicks nachos is 10/20 = 1/2

So the number of sodas sold is proportional to the cost.

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3 years ago
A, b, c, and d please
DIA [1.3K]
<h2>Answers / Step-by-step explanation:</h2><h3>a. What is the length of one side of the square.</h3>

<em>Looking at the image, the radius (r) of the circle appears to cover half of the length of a side of the square. Hence, the side of the square has a length of </em><em>2r</em><em>.</em>

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

<h3>b. The formula A= πr² is used to find the area of a circle. The formula A=4r² can be used to find the area of the square. Write the ratio of the area of the circle to the area of the square in the simplest form.</h3>

<em />Ratio=\frac{\pi r^{2} }{4r^2} =\frac{\pi}{4}.

<em>Notice that the value "r²" disappears from the expression because is being multiplied and divided by it at the same time.</em>

<em />

Ratio=\frac{4\pi }{16} =0.7854.

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

c. Complete the table.

<em>To complete each cell of the table, simply take the equation of the asked parameter and substitute the value of r by the number indicated in the title of the column. For example, column 3 should be filled out like this:</em>

Area of Circle (units²): π(3)²or 9π.

Length of 1 Side of the Square: 2r= 2(3)= 6.

Area of Square (units²)= 4r²= 4(3)²= 36.

Ratio: \frac{\pi}{4}.

<em>Do the same for all the other columns. </em>

<em>The answers to the table are presented on the attached image</em><em>.</em>

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

d. What can you conclude about the relationship between the area of the circle and the square?

<em>They will always have the same value, π/4, regardless of the size of the square and circle. As long as the circle borders meet the square's at the middle of each side of the square, the relationship will be the same</em><em>.</em>

4 0
2 years ago
Richard can make 8 dough balls in two hours. If the amount of time is directly proportional to the number of dough balls, how ma
Sergio039 [100]

Answer:

4.5 hours

Step-by-step explanation:

8:2h = 18:x

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hope this helps :)

8 0
3 years ago
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