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Alex73 [517]
3 years ago
13

A map of a town has no scale. You know that the distance between the bus stop and the park is 6 miles. On the map it is 3 inches

. Also, on the map you know the distance from the park to the house is 8 inches. What is the actual distance in miles between the park and the house?
Mathematics
2 answers:
slamgirl [31]3 years ago
7 0

As was the case in your previous question, this problem involves setting two ratios equal to each other. We call such an equation a proportion.

 

16 miles   =   x miles

(1/2) inch      2 3/4 inches

 

x = (11/4) * 16 = (11/4) * 2 * 16 = 88 miles

      (1/2)

Thepotemich [5.8K]3 years ago
6 0

Answer:

The answer is 16

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As the number -1 1/2 would be to the left because it is negative, if it is as the number's integer, then the new number would be 1 1/2 because 1 1/2 and -1 1/2 are integers.

Hope this helps, if not, comment below please!!!!

5 0
3 years ago
What is the solution for the system of equations? Use the substitution method to solve. 2x+y=20
slava [35]

2x + y = 20

-5y = -6x + 12


To use the substitution method, first isolate one of the variables in one of the equations.

Isolate the "y" in the first equation (because it is the easiest to isolate), and substitute it into the second equation:

2x + y = 20     Subtract 2x on both sides

y = 20 - 2x


-5y = -6x + 12   (since y = 20 - 2x, you can substitute 20 - 2x into y)

-5(20 - 2x) = -6x + 12       Multiply -5 into (20 - 2x)

-100 + 10x = -6x +12      Add 100 on both sides

10x = -6x + 112        Add 6x on both sides

16x = 112           Divide 16 on both sides

x = 7


Now that you have found x, you can substitute 7 into x for one of the original equations:

2x + y = 20

2(7) + y = 20

14 + y = 20    Subtract 14 on both sides

y = 6


-5y = -6x + 12

-5y = -6(7) + 12

-5y = -42 + 12

-5y = -30       Divide -5 on both sides

y = 6


x = 7, y = 6

5 0
3 years ago
I need to finish this question very quickly and I’m confused, any help is greatly appreciated
bogdanovich [222]

Step-by-step explanation:

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3 years ago
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jennifer walks 8 miles in the same time she can jog 13 miles. if her jogging speed is 8mph faster than her walking speed, how fa
Elanso [62]

Answer:

12.8mph

Step-by-step explanation:

Let 'w' represent her walking speed

->if her jogging speed is 8mph faster than her walking speed

Jogging speed=  w+8

Using the time equation i.e time = dist/speed

For walking when distance is 8miles

time = dist / speed= 8/w hrs

For jogging when distance is 13miles

time = dist / speed= 13/(w+8) hrs

Equating the time

jog time = walk time

13/(w+8) = 8/w

By cross multiplying it

13w = 8w + 64

5w = 64

w=64/5

w=12.8mph

Therefore, 12.8mph is her walking speed.

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Answer:

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Step-by-step explanation:

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