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3 years ago

Show how to find the unit rate of oats to quinoa. Tell what the unit rate means.

Mathematics

1 answer:

Dmitry [639]3 years ago

4 0

Answer:

The unit rate is 4 cups of oats per a cup of quinoa

Unit Rate is a ratio of two measurements in which the 2nd term is 1

Step-by-step explanation:

* Lets explain the meaning of unit rate

- A rate is a ratio that is used to compare different types of quantities

- A unit rate describes how many units of the first type of quantity

corresponds to one unit of the second type of quantity

- To calculate the unit rates, we simply divide the two numbers

in a fraction with denominator equal 1

- Ex:

# The unit rate of 50 miles per 5 hours is 50/5 = 10 miles per hour

# The unit rate of $20 dollars for 5 books is 20/4 = 5 dollars per book

∴ Unit Rate is a ratio of two measurements in which the 2nd term is 1

* Lets find the unit rate of oats to quinoa

∵ There are 2 cups of oats

∵ There is a 1/2 cup of quinoa

∵ We need the unit rate of oats to quinoa

- Divide the quantity of oats by the quantity of quinoa

∴ 2/(1/2) ⇒ multiply up and down by 2

∴ (2 × 2)/(1/2 × 2) = 4/1

∴ The unit rate is 4 cups of oats per a cup of quinoa

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What is the sum of ? I will put a pic if the answer is correct ill mark brainlist

olga2289 [7]

$\text{The sum of } 1\frac{7}{10} \text{ and } 3\frac{3}{5} \text{ is } 5\frac{3}{10}$

Solution:

Given that we have to find the sum of $1\frac{7}{10} \text{ and } 3\frac{3}{5}$

Let us first convert the mixed fractions to improper fractions

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator

Therefore,

$1\frac{7}{10} = \frac{10 \times 1 + 7}{10} = \frac{10+7}{10} = \frac{17}{10}\\\\3\frac{3}{5} = \frac{5 \times 3 + 3}{5} = \frac{18}{5}$

Now we can add both the fractions

$1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18}{5}$

Make the denominators same

$1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18 \times 2}{5 \times 2}\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{36}{10}\\\\\text{Add the fractions since the denominator is same }\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17+36}{10} = \frac{53}{10}$

Now convert the fraction to mixed number

When we divide 53 by 10 , the remainder is 3

Therefore, write 5 as a whole number and and 3 as numerator and 10 as denominator

$\frac{53}{10} = 5\frac{3}{10}$

Thus the sum of given mixed fraction is $5\frac{3}{10}$

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What is 12x/7 multiplied by 9/8x ?

Tju [1.3M]

108x/56x Hope that helps.

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tia_tia [17]

Answer:

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Step-by-step explanation:

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2 years ago

What part of an hour passes between 11:24 am and 415 am

Bas_tet [7]

Using proportions, it is found that 1685% of an hour passes between 11:24 am and 415 am.

<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.

One hour is composed by 60 minutes. Between 11:24 am and 4:15 am, there are 16 hours and 51 minutes, hence the number of minutes is given by:

M = 16 x 60 + 51 = 1011 minutes.

As a percentage of one hour = 60 minutes, we have that this measure is:

1011/60 x 100% = 1685%.

Hence 1685% of an hour passes between 11:24 am and 415 am.

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

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