Answer:
x = 35
Step-by-step explanation:
Answer:
The first one
Step-by-step explanation:
The slae price is $5 less for everything in the first one.
Let x = miles traveled by car
Let y = miles traveled by truck.
Because the total distance is 305 miles,
x + y = 305 (1)
Let t = hours of travel by truck. Because the truck speed is 55 mph,
55*t = y
or
t = y/55 (2)
The car has an hour head start, therefore it travels for (t + 1) hours.
Because the car travels at 65 mph,
65*(t + 1) = x
Substitute (2) to obtain
65*(y/55 + 1) = x
or
1.1818y + 65 = x (3)
From (1), obtain
1.1818y + 65 = 305 - y
2.1818y = 240
y = 110
x = 305 - y = 195
From (2),
t = 110/55 = 2 hours
The two vehicles pass each other at 2:00 pm + 2 hours = 4:00 pm
Answer: 4:00 pm
Jelly sells 62 shares of stock she owns for a total of $433. If the stock was in two different companies, one selling at $6.50 a share & the other at $7.25 a share, how many of each did she sell?
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Quantity Equation:: x + s = 62 shares
Value Equation::: 6.50x+7.25s = 433 dollars
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Modify for elimination:
6.5x + 6.5s = 6.5*62
6.5x + 7.25s= 433
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Subtract and solve for "s":
0.75s = 30
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s = 40 shares (# of 7.25 shares)
x = 22 shares (# of 6.50 shares)
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Cheers,
Stan H.
Number of gallon of water = x
number of gallon to be evaporated = 90 - x
13.5(90 - x) = 0.25
