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madreJ [45]
3 years ago
9

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.

and runs at an average rate of 7 miles per hour. Ji-Hun starts at 10:00 a.m. and runs at an average rate of 8 mph. Assuming constant paces and no stops, in how many miles will Ji-Hun catch up to Kana?
Mathematics
1 answer:
iris [78.8K]3 years ago
6 0

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.

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\text{1 min} \longrightarrow 28 \text{ copies}

3  \dfrac{3}{4} \text{ min} \longrightarrow 28 \times 3\dfrac{3}{4} \text{ copies}

3  \dfrac{3}{4} \text{ min} \longrightarrow 28 \times \dfrac{15}{4} \text{ copies}

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here’s a graph of the equation x + 3y = 6 select all coordinates pairs that represent a solution to the equation A) 0,2 B) 0,6 C
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5 0
2 years ago
Can anyone please help me with 8th grade math? I will give BRAIN!!!
Anit [1.1K]

The given percentage scores are:

80 , 92 , 91 , 75 , 89 , 84 , 0 , 85

A. Calculate the average

So, the average = (sum of the scores)/(number of the scores)

Sum of the scores = 80 + 92 + 91 + 75 + 89 + 84 + 0 + 85 = 596

The number of the scores = 8

So,

The average = 596/8 = 74.5%

Does the average score really represent her abilities ?

No, because there is outlier which is ( 0 ) which mean it may be absent this test

the other scores are within 75 and 92

Which mean the average is less than the reasonable minimum score

====================================================================

B. Brandee received 78% at the missed test

so, we will find the new mean:

The new sum of the scores = 80 + 92 + 91 + 75 + 89 + 84 + 78 + 85 = 674

The new mean = 674/8 = 84.25%

====================================================================

C. What different did 0% score make ?

So, 0% give us not accurate representation of the student abilities

Does this new mean represent her abilities accurately ?

Yes

7 0
1 year ago
Please help immediately
Mila [183]
Add all of the scores together which gives you

550+-1500+-2200+400+-600+-300

= -3650

Hope this helps! (:
5 0
3 years ago
Read 2 more answers
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