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MariettaO [177]
3 years ago
13

Your middle school has 900 students one third of the students bring their lunch instead of buying your lunch at school what is t

he value of the ratio of the number of students who do you bring your lunch to the number of students who do not
Mathematics
2 answers:
Alika [10]3 years ago
5 0
300:600 because 1/3x900=300 and 300 plus 600 equals 900 and simplified to simplest form it would be 1:2
shutvik [7]3 years ago
5 0
If one third of the students bring their lunch the ratio would be 1:3 . 1:3 is equivalent to 3:9 which is equivalent to 300:900 therefore the ratio of students who bring their own lunch to students who don't bring their lunch is 300:900
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∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the perimeter of ∆DEF is 1 : 10. The longest side of ∆DEF measure
exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC  is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is \frac{1}{100}

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

so

z=\frac{x}{y}

we have

z=\frac{1}{10}

y=40\ units

substitute

\frac{1}{10}=\frac{x}{40}

solve for x

x=(40)\frac{1}{10}

x=4\ units

therefore

The length of the longest side of ∆ABC  is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

z^{2}=\frac{x}{y}

we have

z=\frac{1}{10}

so

z^2=(\frac{1}{10})^2

z^2=\frac{1}{100}

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is \frac{1}{100}

3 0
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Help with this question please
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Answer:

A ≈ 28.27

Step-by-step explanation:

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