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1 year ago

I need answers and explanation with ratios to help my daughter with homework

Mathematics

1 answer:

Leviafan [203]1 year ago

7 0

Using proportions, it is found that:

2. Bree types at a faster rate, as her ratio of 1.13 words per second is greater than Alan's rate of 0.83 words per second.

3. Bree also makes mistakes at a raster rate, as her rate of 0.375 mistakes per second is greater than Alan's rate of 0.33 mistakes per second.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For each of Alan and Bree, we have to find the proportions of words typed per second and mistakes per second.

Then, for Alan:

Words typed per second: 5/6 = 0.83.

Mistakes per second: 2/6 = 0.33.

For Bree:

Words typed per second: 9/8 = 1.13.

Mistakes per second: 3/8 = 0.375.

Then:

2. Bree types at a faster rate, as her ratio of 1.13 words per second is greater than Alan's rate of 0.83 words per second.

3. Bree also makes mistakes at a raster rate, as her rate of 0.375 mistakes per second is greater than Alan's rate of 0.33 mistakes per second.

More can be learned about proportions at brainly.com/question/24372153

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3 years ago

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3 years ago

A machine covers 5/8 square foot in 1/4 hour

VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = $frac{5}{8}\ ft^2$

Time taken to cover the given area = $\frac{1}{4}\ h$

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

$Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h$

Thus, the unit rate is 2.5 square feet per hour.

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3 years ago

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2 years ago

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BlackZzzverrR [31]

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3 years ago