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marin [14]
2 years ago
8

On Wednesday, Danielle skated 2/3 of the way around the track in 2 minutes. Her younger brother skated 3/4 of Danielle's distanc

e in 2 minutes. What fraction of the track did Danielle's brother finish in 2 minutes?
Mathematics
1 answer:
katen-ka-za [31]2 years ago
4 0
75 percent of 2/3

Is 0.5 of the way
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The average annual costs for owning two different refrigerators for x years is given by the two functions: f(x) = 850 + 62x /x a
Alex17521 [72]

Answer:

In the long run cost of the refrigerator g(x) will be cheaper.

Step-by-step explanation:

The average annual cost for owning two different refrigerators for x years is given by two functions

f(x) = \frac{850+62x}{x}

     = \frac{850}{x}+62

and g(x) = \frac{1004+51x}{x}

             = \frac{1004}{x}+51

If we equate these functions f(x) and g(x), value of x (time in years) will be the time by which the cost of the refrigerators will be equal.

At x = 1 year

f(1) = 850 + 62 = $912

g(1) = 1004 + 51 = $1055

So initially f(x) will be cheaper.

For f(x) = g(x)

\frac{850}{x}+62 = \frac{1004}{x}+51

\frac{1004}{x}-\frac{850}{x}=1004-850

\frac{154}{x}=11

x = \frac{154}{11}=14

Now f(15) = 56.67 + 62 = $118.67

and g(x) = 66.93 + 51 = $117.93

So g(x) will be cheaper than f(x) after 14 years.

This tells below 14 years f(x) will be less g(x) but after 14 years cost g(x) will be cheaper than f(x).

5 0
2 years ago
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Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of s
jasenka [17]

Answer:

  3 1/2 hours

Step-by-step explanation:

This is a problem in units conversion. We want to get from bags to hours by way of minutes per bag. One bag takes an effort of 2/3 person·minute, so we need to divide the total effort by the number of persons and convert minutes to hours.

  (1575 bags)×(2/3 person·min/bag)/(5 person)/(60 min/h)

  = (1575)(2/3)(1/5)(1/60) h = 3.5

It will take the 5 of them about 3 1/2 hours to prepare 1575 bags.

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ALL THE POINTS!! (01.01 LC) What is the rational number equivalent to 3 point 12 with a bar over 12? (1 point) 3 and 4 over 33 3
saul85 [17]

Answer:

A is the answer

Step-by-step explanation:

6 0
2 years ago
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Lana and Jeff each randomly surveyed 15 students about their favorite types of movies. What would you expect to see in the sampl
Anon25 [30]

Answer:

  1. Listing of 15 students
  2. Assignment of a sequential number to each student.
  3. The figured out sample size, i.e., 2.
  4. Selected sample using sampling frame 15 from Step 2 and your sample size from Step 3, i.e., 2  

Step-by-step explanation:

Random sampling is a piece of the sampling method where each example has an equivalent likelihood of being picked. An example picked randomly is intended to be an impartial portrayal of the all out populace. On the off chance that for certain reasons, the example doesn't speak to the populace, the variety is known as a sampling mistake. A random example is an example that is picked randomly. It could be all the more precisely called a randomly picked test. Random examples are utilized to stay away from inclination and other undesirable impacts. Random sampling is probably the least complex type of gathering information from the all out populace. Under random sampling, every individual from the subset conveys an equivalent chance of being picked as a piece of the sampling procedure.

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Joan is hiking. She wants to cover 1,600 feet. She hikes 600 feet every 3 hours.
Stella [2.4K]
Joan's remaining distance is reduced by (600 ft)/(3 hours) = 200 ft/hour. She starts with 1600 ft remaining, so her distance remaining (y) after x hours is
.. y = -200x +1600


In order for the distance remaining to be zero, you must have
.. 0 = -200x +1600
.. 200x = 1600
.. x = 1600/200 = 8

It will take Joan 8 hours to hike 1600 ft.
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2 years ago
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