Mathematics: A recipe for cookies requires 1/3 cup of butter. Mila wants to make 3/4 of the recipe. How many cups of butter should Mila use to make the cookies? Don t forget to simplify.

A recipe for cookies requires 1/3 cup of butter.

whitethunder05

07.02.2022

Given:

A recipe for cookies requires $\dfrac{1}{3}$ cup of butter.

Mila wants to make $\dfrac{3}{4}$ of the recipe.

To find:

The number of cups of butter should Mila use to make the cookies.

Solution:

It is given that,

A recipe for cookies requires $\dfrac{1}{3}$ cup of butter.

$\dfrac{3}{4}$ of the recipe requires $\dfrac{3}{4}\times \dfrac{1}{3}$ cup of butter.

Now,

$\text{Required cups of butter}=\dfrac{3}{4}\times \dfrac{1}{3}$

$\text{Required cups of butter}=\dfrac{3}{12}$

$\text{Required cups of butter}=\dfrac{1}{4}$

Therefore, $\dfrac{1}{4}$ cups of butter is required.

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KarateKat

13.11.2021

The velocity of the car at the end of drag race is 183 miles per hour.

Step-by-step explanation:

We are given the following in the question:

$v = 234 \bigg(\dfrac{p}{w}}\bigg)^{\frac{1}{3}}$

where v is the velocity of the car at the end of drag race, p is the horsepower of the car and w is the weight of car.

We need to approximate velocity of the car at the end of a drag race when car has a horsepower of 1311 and weighs 2744 pounds.

Putting values in the equation, we get,

$v = 234\bigg(\dfrac{1311}{2744}\bigg)^{\frac{1}{3}}\\\\v = 182.93\\v\approx 183\text{ miles per hour}$

Thus, the velocity of the car at the end of drag race is 183 miles per hour.

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