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Tanya [424]
3 years ago
5

A turtle can walk \dfrac{1}{12} 12 1 ​ start fraction, 1, divided by, 12, end fraction of a kilometer in an hour. The turtle is

\dfrac15 5 1 ​ start fraction, 1, divided by, 5, end fraction of a kilometer away from a pond. At this speed, how long will it take the turtle to reach the pond?
Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer:

It will take turtle 2\frac{2}{5} \ hour to reach the pond.

Step-by-step explanation:

Given:

A turtle can walk 1/12 of a kilometer in an hour.

The turtle is 1/5 of a kilometer away from a pond.

Now, to find the time it will take the turtle to reach the pond.

<u>Speed</u> of turtle  =  \frac{1}{12}\ kilometer\ per\ hour.

<u>Distance</u> of turtle from the pond =  \frac{1}{5} \ kilometer.

Now, to get the time it will take turtle to reach the pond we put formula:

Time=\frac{Distance}{speed}

Time=\frac{\frac{1}{5}}{\frac{1}{12}}

Time=\frac{1}{5} \times \frac{12}{1}

Time=\frac{12}{5}

Time=2\frac{2}{5}\ hour.

Therefore, it will take turtle 2\frac{2}{5} \ hour to reach the pond.

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at a party at the middle school over on third avenue next to the bank, $60\%$ of the students are seventh graders. these student
Vaselesa [24]

There are 600 students including the seventh and eighth graders at the party.

This problem uses the concept of percentages to define the conditions that are laid in front of us.

Let the original  number of students be S , and the number of seventh graders be   = 0.60S

We know that percent is used to convey the mathematical term of a fraction multiplied by 100.

Total students  after 20 eighth graders arrive = S + 20

And we have that

Number of seventh graders / total number of students  =  58%

.60S  / [ S + 20 ]  =   .58    we multiply both sides by  S +  20

0.60S  =0 .58 [ S + 20]

.60S  = .58S + 11.6   we subtract  0.58S from  both the sides

0.02S = 11.6  we divide both the sides  by .02

S  = 11/6 / 0.02 =    580

So the total number of students = 580 + 20  = 600 .

Hence there are 600 students at the party at that time.

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5 0
1 year ago
This is 8th grade math.
Mrrafil [7]
X = 1 , y = - 2


Hope this helped
4 0
2 years ago
Read 2 more answers
Find the value of c.....
Makovka662 [10]

Answer:

Step-by-step explanation:

the sum of the angles in a triangle is 180

33+2c+c-18=180

3c=180+18-33

3c=165

c=165/3

c=55

7 0
2 years ago
Can someone help me on 6?
fomenos

Answer:

66600 ft

Step-by-step explanation:

First draw a rectangle and draw a diagonal line in the middle. The line makes two triangles, and the line itself is the hypotenuse. So, to find hypotenuse, the formula is:

a^2 + b^2 = c^2

The variable c defines the hypotenuse. Therefore:

a = 150

b = 210

Let's solve:

150^2 + 210^2 = c^2

22500 + 44100 = c^2

66600 = c^2

Therefore, in conclusion, the result we are getting is 66600 ft.

<u><em>Hope This Helps!</em></u>

6 0
2 years ago
Read 2 more answers
a major metroplitan newspaper selected a simple random sample of 1,600 readers from their list of 100,000 subscribers. they aske
Arisa [49]

Answer:

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1600, \pi = 0.4

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 2.575\sqrt{\frac{0.4*0.6}{1600}} = 0.3685

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 2.575\sqrt{\frac{0.4*0.6}{1600}} = 0.4315

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

7 0
2 years ago
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