People attending a football game either supported the home team or the visiting team. If 714 of the people attending supported the home team and 2686 supported the visiting team, what percentage supported the home team?

21%

Step-by-step explanation:

First find the whole, the total number of attendees:

714 \text{ home} + 2686 \text{ visiting} = \color{orange}{3400} \text{ total attendees}

714 home+2686 visiting=3400 total attendees

Method 1: Set up a proportion

Set up an equation of the form:

\frac{\color{red}{\text{part}}}{\color{orange}{\text{whole}}}=

whole

part

=

\,\,\frac{\color{blue}{\text{percent}}}{100}

100

percent

Assign the variable xx to the unknown value:

\color{blue}{x}=

x=

\,\,\color{blue}{\text{percent}}

percent

The question asks what \textit{percent}percent of all the attendees is 714

Substitute the known values with the numbers given in the problem, and the unknown value with xx:

\frac{\color{red}{714}}{\color{orange}{3400}}=

3400

714

=

\,\,\frac{\color{blue}{x}}{100}

100

x

Solve for xx:

100\cdot\color{red}{714}=

100⋅714=

\,\,\color{orange}{3400}\cdot\color{blue}{x}

3400⋅x

Cross multiply

\frac{71400}{3400}=

3400

71400

=

\,\,\frac{3400x}{3400}

3400

3400x

Divide both sides by 100

\color{blue}{21\%}=

21%=

\,\,\color{blue}{x}

x

Simplify

Method 2: Find percent directly

\text{Find \(714\) out of \(3400\) as a decimal:}

Find 714 out of 3400 as a decimal:

\frac{\color{red}{714}}{\color{orange}{3400}}=

3400

714

=

\,\,0.21

0.21

\text{Convert decimal to percent:}

Convert decimal to percent:

0.21\times100=

0.21×100=

\,\,\color{blue}{21\%}

21%

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.