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SVEN [57.7K]
3 years ago
7

Omar can jog 3 2/5 miles in 2/3 of an hour. Find his average speed in miles per hour.

Mathematics
2 answers:
kicyunya [14]3 years ago
5 0

Step-by-step explanation:

he jogs 3 2/5 miles in 2/3 of an hour.

3 2/5 miles are 17/5 miles.

now, to get mph as speed unit, we need to bring the 2/3 hour to 1 hour.

we need to multiply 2/3 by a factor to get 1

2/3 × x = 1

2x = 3

x = 3/2

since we have to multiply the denominator of the ratio by 3/2, we also need to multiply the numerator by the same value to keep the overall value of the ratio/fraction the same.

17/5 / 2/3 × 3/2 / 3/2 = (17/5 × 3/2) / (2/3 × 3/2) =

= ((17×3)/(5×2)) / ((2×3)/(3×2)) =

= (51/10) / 1 = 51/10 = 5.1 mph

so, his jogging speed is 5.1 mph.

Fudgin [204]3 years ago
3 0

Answer:

9.6miles per hour

Step-by-step explanation:

2/3=40min

32/5 /40=0.16

0.16miles per min

0.16*60=9.6

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Answer:
5 3/4

Step by step explanation:
Find a common denominator in this case is 4 so instead of adding 2 1/2 to 3 1/4 it’s going to be 3 1/4 + 2 2/4 which gets you 5 3/4
4 0
4 years ago
Read 2 more answers
The length of a rectangle is 4
Juli2301 [7.4K]

Answer:

w=16, L=20

Step-by-step explanation:Length(L)=w+4

P=72

P=2L+2w

P=2(w+4)+ 2w

P=2w+8+2w

72=4w+8

4w=72-8

4w=64(/4)

w=16

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Verification: 16+16+20+20=72

                      32+40=72

                      72=72 (T)

4 0
3 years ago
A billiard ball is struck by a cue. It travels 100 cm before ricocheting off a rail and traveling another 100 cm into a corner p
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Answer:

76.53 cm

Step-by-step explanation:

From the question, the triangle formed has 2 sides and an included angle ;

Angle, θ = C = 45°

We use cosine rule :

Taking the side to find as c

a = 100 ; b = 100

From cosine rule :

c = sqrt(a² + b² - 2abCosC)

c = sqrt(100² + 100² - 2(100*100)Cos45

c = sqrt(10000 + 10000 - 20000 * 0.7071067)

c = sqrt(20000 - 14142.135)

c = sqrt(5857.865)

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Step-by-step explanation:

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8 0
3 years ago
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Answer:

That's strange wording.

Anyway as far as perfect cubes we have 10^3 = 1,000 and then the next cube is 1,331 which is 11^3

So basically you are asking what do we multiply 1,176 by, in order to get a perfect cube?

1,331 / 1,176 = 1.13180272108844

So, to make 1,176 a perfect cube, multiply it by 1.13180272108844  

Step-by-step explanation:

7 0
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