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Finger [1]
3 years ago
8

Zachary travels on a journey of 50 miles. He spends half

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
7 0

Answer: 8 hours.

Step-by-step explanation:

We have the relation:

Time  = distance/velocity

Distance = 50 miles

Velocity in horse = 9mph

Velocity walking = 3 1/2 mph = 3.5 mph

Then, if T is the total time, X is the distance that he travels in horse and Y is the distance that he travels by foot, we have:

X + Y = 50 miles:

T/2 = X/9mph

T/2 = Y/3.5mph

Then we have:

X/9mph = Y/3.5mph

X = Y*(9/3.5)

And by the first relation:

X = 50 mi - Y

then we have:

50mi - Y = Y*(9/3.5)

50mi = Y + Y*(9/3.5) = Y*(1 + 9/3.5) = Y*3.57

Y = 50mi/3.57 = 14mi

Then we have:

T/2 = 14mi/3.5mph

T = 2*(14/3.5) hours = 8 hours

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So it would cost $700 to go to this yoga studio for 20 months

Hope this helps!
3 0
3 years ago
a train leaves little rock, arkansas and travels north at 70 kilometers per hour. another train leaves at the same time and trav
jekas [21]
45 hours.
80 - 70= 10, and 450/10 is 45.
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8 0
4 years ago
For f(x) = -1/5x - 14 find x when f (x) = -8
sergejj [24]

Hi!

30 = x

f(x) = -1/5x - 14 find x when f (x) = -8

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6 = -1/5x

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Hope this helps! :D

8 0
3 years ago
The first week of January,there are 49 dogs and 28 cats in an animal shelter. Throughout the month,the ratio of dogs to cats rem
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Answer:

35 dogs

Step-by-step explanation:

x ---> the number of dogs

y ---> the number of cats

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\frac{x}{y}=\frac{49}{28} ----> equation A

y=20 ---> equation B

substitute equation B in equation A

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7 0
4 years ago
Which of the following is not an identity?
Shkiper50 [21]
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cos² x - 1 / sin x = - sin x 
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- sin x = - sin x     ( correct )
B ) sin x ( cos x / sin x + sin x / cos x ) = 1 / cos x
sin x · ( cos² x + sin²x ) / sin x cos x = 1 / cos x
sin x · 1 / sin x cos x = 1 / cos x
1 / cos x = 1 / cos x  ( correct )
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1 - sin² x - sin² x = 1 - 2 sin² x
1 - 2 sin² x = 1 - 2 sin² x   ( correct )
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1 / cos² x sin² x = 1
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8 0
3 years ago
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