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valkas [14]
3 years ago
13

8:11:11 PM

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

x=7.46

Step-by-step explanation:

sorry i had to write it in decimal form the signs couldn't be typed

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Ji-Hun and Kana are running a marathon. Due to the volume of people running, the starts occur in waves. Kana starts at 9:35 a.m.
iris [78.8K]

Answer:

23.52 miles

Step-by-step explanation:

Let us find the number of miles that they would have run.

Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.

Let the time she has spent so far be t.

Speed is given as:

s = d / t

where d = distance and t = time

=> d = s * t

Therefore, for Kana:

d = 7 * t = 7t _____________(1)

Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.

25 minutes = 25/60 hour = 0.42 hour

So, his time (compared to Kana's) is t - 0.42.

therefore, for Ji-Hun:

d = 8 * (t - 0.42)

=> d = 8t - 3.36 ____________(2)

Equating (1) and (2):

7t = 8t - 3.36

=> 8t - 7t = 3.36

t = 3.36 hours

Therefore, let us find d:

d = 7 * 3.36 = 23.52 miles

So, Ji-Hun will catch up to Kana after 23.52 miles.

6 0
3 years ago
Order the numbers from least to greatest. <br><br>1 / 100, 1/4, and 0.2. ​
Kamila [148]

Answer:

\frac{1}{100}, 0.2, \frac{1}{4}

Step-by-step explanation:

First, find the values of the fractions in decimals.

\frac{1}{100} = 0.01

\frac{1}{4} = 0.25

So we have the numbers: 0.01, 0.25 and 0.2. Thus we can easily arrange them in ascending order.

0.01, 0.2, 0.25

Which, according to the question, will be:

<u></u>\frac{1}{100}<u>, 0.2, </u>\frac{1}{4}<u></u>

4 0
2 years ago
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Faith invested $81,000 in an account paying an interest rate of 2\tfrac{3}{8}2 8 3 ​ % compounded continuously. Owen invested $8
mars1129 [50]

Answer:633

Step-by-step explanation:

5 0
3 years ago
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The length of a table is 8 times longer then it’s width. If the perimeter is 72, how wide is the table?
Andrews [41]

Answer:

4 units wide

Step-by-step explanation:

Let the width of the table be 'w'

Given:

Perimeter of the table is, P=72

The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.

Length of the table is 8 times longer than its width. Therefore,

Length,L=8w

Now, perimeter is given as:

P=2L +2w\\P=2(8w)+2w\\P=16w+2w\\P=18w\\w=\frac{P}{18}

Now, plug in 72 for 'P' and solve for 'w'. This gives,

w=\frac{P}{18}\\\\w=\frac{72}{18}\\\\w=4

So, the table is 4 units wide.

6 0
4 years ago
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