Mathematics, 28.01.2020 21:43 thnguyen0720

Students in a cooking class made 4 1/2 quarts of soup. they served 4/5 of the soup to friends. each serving is 3/5 quart. hector incorrectly says that there were 3 3/5 servings of soup. what is the correct number of servings? what did hector do wrong?

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Answer from: ashtonrieper1132

The correct number of servings = 6.

By saying there were $3\frac{3}{5}$ servings of soup, Hector must have intended to say that there were $3\frac{3}{5}$ quarts of soup for serving.

Step-by-step explanation:

Given:

Total quarts of soup made by students = $4\frac{1}{2}$

Fraction of the soup served to friends = $\frac{4}{5}$

Each serving = $\frac{3}{5}$ quarts

Hector incorrectly says that that there were $3\frac{3}{5}$ servings of soup.

To find the correct number of servings and to identify Hector's mistake.

Solution:

Total quarts of soup made = $4\frac{1}{2}=\frac{9}{2}$

Fraction of total quarts served = $\frac{4}{5}$

Thus, total quarts of soup served = $\frac{9}{2}\times \frac{4}{5}$

⇒ $\frac{18}{5}=3\frac{3}{5}$

Thus, total quarts of soup for serving = $\frac{18}{5}$ or $3\frac{3}{5}$

Each serving = $\frac{3}{5}$ quarts

Total number of servings can be given as:

⇒ $\frac{Total\ quarts\ of\ serving}{Size\ of\ each\ serving}$

⇒ $\dfrac{\frac{18}{5}}{\frac{3}{5}}$

To divide fractions, we take reciprocal of the divisor and replace divsion with multiplication.

⇒ $\frac{18}{5}\times \frac{5}{3}$

⇒ $\frac{18}{3}$

⇒ 6 servings

Thus, the correct number of servings = 6.

By saying there were $3\frac{3}{5}$ servings of soup, Hector must have intended to say that there were $3\frac{3}{5}$ quarts of soup for serving.

Answer from: Quest

parallel and congruent

step-by-step explanation:

the movement of translation is linear. these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope! you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

Answer from: Quest

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

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