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DochEvi [55]
3 years ago
14

A chef uses 3 3/4 pounds of semolina flour and 1 5/8 pounds whole wheat flour for each batch of pasta she makes. One week she us

es a total of 86 pounds of flour.
Write an equation to solve for b, the number of batches of pasta the chef makes during the week.
How many batches of pasta does she make? Show your work.
Mathematics
1 answer:
atroni [7]3 years ago
5 0
One batch = 3 3/4 + 1 5/8
one batch = 3 6/8 + 1 5/8
one batch = 4 11/8
one batch = 5 3/8 pound of flour

One week = 86 pound 
86 ÷  5 3/8  = 86 ÷   43/8
86 ÷  5 3/8  = 86 x   8/43
86 ÷  5 3/8  =16

She makes 16 batches of pasta

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4 years ago
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This month, Chun’s office produced 690 pounds of garbage. Chun wants to reduce the weight of garbage produced to 85% of the weig
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Chun wants to <span>reduce the weight of garbage produced to 85% of the weight produced this month. 
This means that, Chun's garbage weight next month should be equal to 85% of his garbage weight this month.

Translating this into an equation, we will find that:
garbage weight next month = 85% of garbage weight this month
garbage weight next month = 0.85 * garbage weight this month
garbage weight next month = 0.85*690 
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Based on the above calculations, his target weight for the garbage next month is </span>586.5 pounds
8 0
3 years ago
Suppose r(t)= cos(t)i+sin(t)j+(2t)k represents the position of a particle on a helix, where Z is the height of the particle abov
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Answer:

The parametric equations for the tangent line are :

x = Cos(10) - t×Sin(10)

y = Sin(10) + t×Cos(10)

z = 20 + 2t

Step-by-step explanation:

When Z=20:

Z=2t=20 ⇒ t=10

The point of tangency is:

r(10)= Cos(10) i + Sin(10) j + 20 k

We have to find the derivative of r(t) to get the tangent line:

r'(t)= -Sin(t) i + Cos(t) j + 2 k

The direction vector at t=10 is:

r'(10)= -Sin(10) i + Cos(10) j + 2 k

So, the equation of the tangent line is given by:

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4 0
3 years ago
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4 years ago
Find a linear approximation of the function f(x)=\sqrt[3]{1+x} at a=0, and use it to approximate the numbers \sqrt[3]{.96} and \
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The linear approximation to f(x) around x=a is then

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So the approximation centered at a=0 will be

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\sqrt[3]{0.96}\approx L(0.96)=1+\dfrac{0.96}3=1.32

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Compare to the actual values of

\sqrt[3]{0.96}\approx0.9864

\sqrt[3]{1.02}\approx1.0066
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