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bulgar [2K]
3 years ago
14

A bread recipe calls for 1/3 cup of butter. You want to make 1/2 of a batch. How much butter do you need?

Mathematics
2 answers:
algol [13]3 years ago
7 0

If you want to make \dfrac{1}{2} of a batch and a bread recipe calls for \dfrac{1}{3} cup of butter, then you should multiply the fraction needed to make the whole batch by the fraction of a batch you want tot make:

\dfrac{1}{3}\cdot \dfrac{1}{2}=\dfrac{1}{6}.

Answer: you need \dfrac{1}{6} cup od butter.

Sergio [31]3 years ago
6 0
Do 1/3 x 1/2 to get 1/6, or you could think, 1/3 divided by 2, which would equal 1/3 x 1/2
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3rd -

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4th -

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In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
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Answer:

a)

y = 0.3035 + 0.0082x

b)

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c)

x = 23.9634 °C

Step-by-step explanation:

a. Compute the least-squares line for predicting warping from temperature. Round the answers to four decimal places.

We need to find an equation of the form

y = b + mx

where m is the slope and b the Y-intercept.

The slope m can be computed with the formula

\bf m=\displaystyle\frac{\displaystyle\sum_{i=1}^n(x_i-\bar x)(y_i-\bar y)}{\displaystyle\sum_{i=1}^n(x_i-\bar x)^2}

Replacing the values in our formula (we will round at the end of the calculations)

\bf m=\displaystyle\frac{806.94}{98,775}=0.008169476

the Y-intercept b is computed with the formula

\bf b=\bar y-m\bar x

therefore we have

\bf b=0.5188-0.008169476*26.36=0.303452613

and the least-squares line rounded to 4 decimals would be

y = 0.3035 + 0.0082x

b. Predict the warping at a temperature of 40°C. Round the answer to three decimal places.

We simply replace x with 40 to get

y = 0.3035 + 0.0082*40 = 0.6315 mm

c. At what temperature will we predict the warping to be 0.5 mm? Round the answer to two decimal places

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x = 23.9634 °C

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