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notka56 [123]
3 years ago
15

While eating lunch Cary notices that 16 students in her class chose to eat a hot dog, while 12 students in her class chose to ea

t a hamburger. What is the ratio of students who chose to eat a hot dog to those who chose to eat a hamburger?
i need this answer please
Mathematics
2 answers:
Evgen [1.6K]3 years ago
4 0

9514 1404 393

Answer:

  4 : 3

Step-by-step explanation:

The ratio of numbers of students is ...

  hot dog : hamburger = 16 : 12 = 4 : 3

__

To reduce the ratio to lowest terms, remove the common factor of 4 from each number. 16 = 4·4; 12 = 4·3.

Stella [2.4K]3 years ago
3 0

Answer:

The \: ratio \: is \: \: 4 :  3 \:i .e \:  \frac{4}{3}

Step-by-step explanation:

number \: of \: students  \: who  \: chose \: \\   to \:  eat  \: a \:  hot  \: dog  \: is \: 16. \\ number \: of \: students  \: who  \: chose \: \\   to \:  eat  \: a \:  hamburger  \: is \: 12. \\

the \: ratio \: is \: number \: of \: students  \: who  \: chose \: \\   to \:  eat  \: a \:  hot  \: dog  \: \div \\ number \: of \: students  \: who  \: chose \: \\   to \:  eat  \: a \:  hamburger  \\ so \: the \: ratio \:is  \:  \frac{16}{12}  =  \frac{4}{3}

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Answer:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}

Step-by-step explanation:

<u>Simplifying Rational Expressions</u>

If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.

The expression is:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}

Operating on the numerators:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-(3q^2-q-6)}{q^2+6q+5}

Removing parentheses:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-3q^2+q+6}{q^2+6q+5}

Simplifying:

\boxed{\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}}

The expression cannot be further simplified.

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2 years ago
Brody is in the business of manufacturing phones. He pays a cost of $100 per phone produced for materials and labor and also mus
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Step-by-step explanation:

Because C is the total cost per day, 200 is the y-intercept because it's paid daily.

The 100 is the slope since "he pays a cost of $100 per phone produced)".

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In ADEF, the measure of ZF=90°, the measure of ZE=53°, and DE = 57 feet. Find the
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A rectangular swimming pool has a length of 50 m, a width of 25 m, and a depth of 1.75 meters. What is the volume of water neede
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Step-by-step explanation:

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5 0
3 years ago
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Use point-slope form to write the equation of a line that passes through the point (16,-14) with slope 11.
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The required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.

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The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

The point-slope of the equation of the line is given by,

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Put the values in the above equation of the line

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Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Learn more about slopes visit:

brainly.com/question/3605446

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