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Daniel [21]
3 years ago
8

John can jog twice as fast as he can walk. He was able to jog the first mile to his grandmas house but then he got tired and wal

ked the remaining 4 miles. If the total trip took 0.75 hours, then what was his average jogging speed
Mathematics
1 answer:
statuscvo [17]3 years ago
7 0

Answer:

  12 mph

Step-by-step explanation:

The relationship between jogging speed and walking speed means the time it takes to walk 4 miles is the same as the time it takes to jog 8 miles. Then the total travel time (0.75 h) is the time it would take to jog 1+8 = 9 miles. The jogging speed is ...

  (9 mi)(.75 h) = 12 mi/h . . . average jogging speed

__

<em>Check</em>

1 mile will take (1 mi)/(12 mi/h) = 1/12 h to jog.

4 miles will take (4 mi)/(6 mi/h) = 4/6 = 8/12 h to walk.

The total travel time is (1/12 +8/12) h = 9/12 h = 3/4 h. (answer checks OK)

_____

<em>Comment on the problem</em>

Olympic race-walking speed is on the order of 7.7 mi/h, so John's walking speed of 6 mi/h should be considered quite a bit faster than normal. The fastest marathon ever run is on the order of a bit more than 12 mi/h, so John's jogging speed is also quite a bit faster than normal. No wonder he got tired.

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The volume of a spherical tank is 790.272 pie cubic feet what is the diameter of the container
pochemuha

Answer:

The diameter is 13.88 feet.

Step-by-step explanation:

1. The formula for calculate the volume of a sphere is:

V=\frac{3}{4}(r^{3}\pi)

Where r is the radius.

2. The diameter is:

D=2r

3. So, you must solve for the radius in the first equation:

r=\sqrt[3]{\frac{4V}{3\pi}} 

r=\sqrt[3]{\frac{4(790.272ft^{3} )}{3\pi}}\\r=6.94ft

4. Then, the diameter is:

D=2(6.94ft)\\D=13.88ft


8 0
4 years ago
You purchased a vehicle for 32,000. It's value will depreciate at a rate of 18.62%. What will it's value be in 5 years, when you
Len [333]

Answer:

F = $11,421.90

Final value after 5 years F = $11,421.90

Complete question;

You purchased a vehicle for $32,000. It's value will depreciate at a rate of 18.62%. What will it's value be in 5 years, when you finally have it paid off

Step-by-step explanation:

Given;

Initial value P = $32,000

Depreciation rate r = 18.62% = 0.1862

Time t = 5

Final value = F

Using the compound depreciation formula;

F = P(1 - r)^t

Substituting the values;

F = $32,000(1 - 0.1862)^5

F = $11,421.90

Final value F = $11,421.90

8 0
3 years ago
Read 2 more answers
Multiply the sum of 7/8 and 3/4 by the differences of 5/36 from 11/13
Anni [7]

Answer:

=-\frac{331}{288}=-1.14930\dots

Step-by-step explanation:

(\frac{7}{8} + \frac{3}{4} )\times (\frac{5}{36} - \frac{11}{13} )\\\\\mathrm{Join}\:\frac{7}{8}+\frac{3}{4}:\quad \frac{13}{8}\\\\=\frac{13}{8}\left(\frac{5}{36}-\frac{11}{13}\right)\\\\\mathrm{Join}\:\frac{5}{36}-\frac{11}{13}:\quad -\frac{331}{468}\\\\=\frac{13}{8}\left(-\frac{331}{468}\right)\\\\=-\frac{13}{8}\times\frac{331}{468}\\\\\mathrm{Cross-cancel\:common\:factor:}\:13\\=\frac{1}{8}\times\frac{331}{36}\\\\=-\frac{1\cdot \:331}{8\times\:36}\\\\=-\frac{331}{288}

4 0
3 years ago
The distance on a city grid is measured in blocks. On the grid, the coordinates for the location of your house are (2,6). The In
dolphi86 [110]
The answer is C) 16 blocks.

We will use the distance formula for this problem:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

From your house to the internet cafe:

d=\sqrt{(8-6)^2+(12-2)^2}=\sqrt{2^2+10^2}=\sqrt{4+100}&#10;\\&#10;\\=\sqrt{104}=10.2

From the internet cafe to your friend's house:
d=\sqrt{(8-4)^2+(12-8)^2}=\sqrt{4^2+4^2}=\sqrt{16+16}=\sqrt{32}=5.7

Together, we have 10.2+5.7=15.9, which rounds to 16 blocks.
7 0
3 years ago
The outside of an aquarium tank is 50 cm long, 40 cm wide, and 20 cm high. It is open at the top. The glass used to make the tan
zepelin [54]
We know that

[<span>inside volume of the tank]=[40-2]*[50-2]*[20-1]------> (the top is open)
</span>[inside volume of the tank]=[38]*[48]*[19]----> 34656 cm³

the answer is
the inside volume of the tank is 34656 cm³
3 0
3 years ago
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