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Vlad [161]
4 years ago
10

A gym charges $50 dollars per month after an initial membership fee. A member has paid a total of $320 after 6 months. Write an

equation that gives the total cost of gym membership as a function of the length of membership (in months).
Mathematics
1 answer:
Ksivusya [100]4 years ago
7 0

x6+50=320

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

x6=50-50=320-50

x6=270

x6/6=270/6

x=45

So this person is spending $45 a month.

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Two planes start flying towards each other simultaneously from two different cities. The distance between the cities is 960 mile
ANTONII [103]

Answer:

257.5 mph

332.5 mph

Step-by-step explanation:

The initial distance between the two planes is 960 miles, while the final distance (after t=1.5 h) is 75 miles, so the total distance covered by the two planes in 1.5h is

d=960-75=885 miles

Calling v1 and v2 the velocities of the two planes, we have the following equations:

(1) v_1 = v_2 + 75 --> velocity of plane 1 exceeds velocity of plane 2 by 75 mph

(2) v_1 t+ v_2 t=885 --> the total distance covered by the two planes is 885 miles (t=1.5 h is the time, and the products v1 t and v2 t represent the distance covered by each plane)

Substituting t=1.5 h, the second equation becomes:

1.5 v_1+1.5 v_2=885\\v_1 + v_2 = 590

By substituting (1) into this last equation, we find:

(v_2+75)+v_2 = 590\\2v_2 + 75 = 590\\2v_2 = 515\\v_2=257.5

And substituting this back into eq.(1), we find

v_1 = 257.5 + 75=332.5

So, the speeds of the two planes are

257.5 mph

332.5 mph



3 0
3 years ago
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8 0
4 years ago
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Serga [27]
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3 0
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sergiy2304 [10]

Answer:

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