Answer:
The unlimited mileage plan would save money for Lia from 410 miles onwards.
Step-by-step explanation:
Since Lia can rent a van for either $ 90 per day with unlimited mileage or $ 50 per day with 250 free miles and an extra 25 ¢ for each mile over 250, to determine for what number of miles traveled in one day would the unlimited mileage plan save Lia money, the following calculation must be performed:
90.25 - 50 = 40.25
40.25 / 0.25 = 161
161 + 250 = 411
Therefore, the unlimited mileage plan would save money for Lia from 410 miles onwards.
Answer:
Height of building is 76 feets
Step-by-step explanation:
The scenario is illustrated in the attached photo. The stretched rope is seen coming from the top of the building, passing through the top of the tree which is halfway the height of the building and touching the state which is on the ground.
The distance, x of the tree to the building on the ground is equal to the distance, x of the tree from the stake, hence,
Distance of the stake from the building is 2x
Height of the tree = 38 feets
Height of the building = y feets
The triangles formed are similar triangles. Therefore,
38/x = y/2x
Cross multiplying
2x × 38 = x × y
xy = 76x
y = 76x/x = 76 feets
You can subtract 4x from each side of the equation.
Then you'll have the variable only on one side.
Before: 5x - 7 = 4x - 1
After: x - 7 = - 1
Now it's a lot easier to solve.
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I just noticed that you're giving 10 points for this one.
That's a bunch, so I guess I owe you some more ...
I really ought to go ahead and finish the solution:
Original equation: 5x - 7 = 4x - 1
Subtract 4x from each side: x - 7 = - 1
Add 7 to each side: x = 6
(Once you subtracted 4x from each side,
there really wasn't much more left to do.)
Answer: 4 inches by 10 inches
Step-by-step explanation:
The area of a rectangle can be written as b*h, while perimeter is equal to (2b +2h).
A = b*h = 40
P = 2b + 2h = 28
P = 2b + 2h
28 = 2b + 2h
28 = 2(b+h)
14 = b + h
What two numbers add to 14 and multiply to 40?
4 * 10 = 40
4 + 10 = 14
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