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3 years ago

6

Estella buys 1.8 pounds if walnuts for a total if $5.04 she solves the equation 1.8p=5.04 to find the price p in dollars of one

pound of walnuts what does one pound of walnuts cost?

1 answer:

Drupady [299]3 years ago

8 0

Answer: $2.08

Step-by-step explanation:

5.04 divided by 1.08 is 2.08.

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My Notes The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1 4 cos(5t) where y

ikadub [295]

Answer:

y(0) = 0.25 feet

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

Step-by-step explanation:

We are given the following information in the question:

The displacement from equilibrium of an oscillating weight suspended by a spring =

$y(t) = \displaystyle\frac{1}{4} \cos(5t)$

where y is the displacement in feet and t is the time in seconds.

Here, cos is in radians.

1) t = 0

$y(0) = \displaystyle\frac{1}{4} \cos(5(0)) = \frac{1}{4} \cos(0) = \frac{1}{4}(1) = \frac{1}{4}$

y(0) = 0.25 feet

2) t = $\frac{1}{4}$

$y(\displaystyle\frac{1}{4}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{4})) = \frac{1}{4} \cos(1.25) = \frac{1}{4}(0.31532236) =0.07883059$

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

3) t = $\frac{1}{2}$

$y(\displaystyle\frac{1}{2}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{2})) = \frac{1}{4} \cos(2.5) = \frac{1}{4}(-0.80114362) = -0.200285905$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

The negative sign indicates the opposite direction of displacement.

3 0

3 years ago

Lin ran 2 3/4 miles in 2/5 of an hour, Noah ran 8 2/3 miles in 4/3 of an hour, how far would Lin run in 1 hour?

Marizza181 [45]

Answer:

$6\frac{7}{8}\ miles$

Step-by-step explanation:

Given that Lil's distance in 2/5 hrs is 2 3/4hrs

-Let x be the distance ran in 1 hr.

#We equate and cross multiply to solve for x as follows:

$\frac{2}{5}\ hrs=2\frac{3}{4}\\1\ hr=x\\\\\therefore x=2\frac{3}{4}/\frac{2}{5}\\\\=6\frac{7}{8}\ miles$

Hence, Lil can run 6 7/8 miles in 1 hr.

5 0

3 years ago

1. A grocery store just received a shipment of 200 dozen eggs. If 12 eggs = 1 dozen, how many eggs did

melisa1 [442]

Answer:

2400 eggs

Step-by-step explanation:

12*200=2400

4 0

3 years ago

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Write the place value of the underlined digit round each number to the place of the underlined digit.

fiasKO [112]

Answer:

3.0.8

4.8

5.11.51

Step-by-step explanation:

8 0

3 years ago

I am thinking of two numbers. The difference of the two numbers is 36. Their sum is 286. What are the two numbers I am thinking

Diano4ka-milaya [45]

Let's call the two numbers a and b. So we know that the difference of the two numbers is 36:

a - b = 36

And we know that their sum is 286:

a + b = 286

We can use either of these equations to solve for one of the variables in terms of the other variable. Let's use the first and solve for a:

a - b = 36

a = 36 + b

Now we plug this into the other equation and solve for b there:

(36 + b) + b = 286

36 + 2b = 286

2b = 250

b = 125

6 0

3 years ago

Read 2 more answers