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AlladinOne [14]
3 years ago
13

- Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound

car has traveled 6 miles, and the eastbound car has traveled 8 miles. Measured in a straight line, how far apart are the two cars? 1 I​
Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0

Answer:

Step-by-step explanation

Use Pythagoras theorem. The distance between the cars, 8km, is the hypotenuse of a right angled triangle, one leg of which is 6km and the other of which is, say, x km

x = sqrt(8^2 - 6^2) km.

You can crunch the numbers.

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x = number of 1-cent stamps

y = number of 8-cent stamps

z = number of 12-cent stamps

We have 31 stamps all together, so x+y+z = 31.

"I have 4 more 1-cent stamps than 8-cent stamps" means we have the equation x = y+8. Whatever y is, add 8 to it to get x. Solve for y to get y = x-8.

You also have "twice as many one cent stamps as 12 cent stamps", so x = 2z. Solving for z gets you z = 0.5x

-------------

x+y+z = 31

x+x-8+z = 31 ... y replaced with x-8

x+x-8+0.5x = 31 ... plug in z = 0.5x

2.5x-8 = 31

2.5x = 31+8

2.5x = 39

x = 39/2.5

x = 15.6

Your teacher made a typo somewhere because we should get a positive whole number result for x (since x is a count of how many 1-cent stamps we have).

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