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n200080 [17]
3 years ago
7

Student Name:

Mathematics
1 answer:
artcher [175]3 years ago
3 0

These ratios are not in a proportional relationship because their

simplest ratios are not equal

Step-by-step explanation:

Ratios are proportional if they represent the same relationship

To know if the two ratios are proportion do that:

1. Write them as fractions

2. Simplify the two fractions to their simplest form

3. If the simplest fractions are the same, then your ratios are proportion

   if not then they are not proportion

∵ The ratio of Braydon's number of laps he ran to the time he ran

   is 6 : 2

∵ 6 : 2 = \frac{6}{2}

- Simplify it by divide up and down by 2

∴ \frac{6/2}{2/2} = \frac{3}{1}

∴ The simplest form of \frac{6}{2} is \frac{3}{1}

∵ The ratio of Monique's  number of laps she ran to the time she ran

   is 10 : 4

∵ 10 : 4 = \frac{10}{4}

- Simplify it by divide up and down by 2

∴ \frac{10/2}{4/2} = \frac{5}{2}

∴ The simplest form of \frac{10}{4} is \frac{5}{2}

∵ \frac{3}{1} ≠ \frac{5}{2}

∵ The simplest form of them are not equal

∴ These ratios are not in a proportional relationship

These ratios are not in a proportional relationship because their

simplest ratios are not equal

Learn more:

You can learn more about ratios in brainly.com/question/2707032

#LearnwithBrainly

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Solution:

Given function h(t)=-16t^2+15t+6.5

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Substitute t=\frac{15}{32} in the given function.

$h\left(\frac{15}{32} \right)=-16\left(\frac{15}{32} \right)^2+15\left(\frac{15}{32} \right)+6.5

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$h\left(\frac{15}{32} \right)=10.02

Hence the value of h(t) when t=\frac{15}{32} is 10.02.

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