4x - 3(x + 5) > 7 - 4(x + 6) |use distributive property; a(b + c) = ab + ac
4x - 3x - 15 > 7 - 4x - 24 |combine items
x - 15 > -4x - 17 |add 15 to both sides
x > -4x - 2 |add 4x to both sides
5x > -2 |divide both sides by 5
x > - 2/5
Hi there!
3413 steps = 1.27 miles.
To find the amount of steps in 1 mile, we must divide both sides by 1.27.
3413 / 1.27 steps = 1.27 / 1.27 miles
2687.4 steps = 1 mile.
Hence, in order to walk at least 1 mile, we must take 2688 steps.
Answer:
rectangle are congruent because opposite sides of rectangle are equal. We also know that diagonals of rectangle bisect each other
Answer:
a)
We know that:
There is a fixed cost of $7
for each mile, you need to pay $0.65
Then if you take the taxi for "m" miles, the total cost is:
c(m) = $0.65*m + $7
Now we know that Gavin also gives a $3 tip, so we need to add this to the cost:
c(m) = ($0.65*m + $7) + $3 = $0.65*m + $10
c(m) = $0.65*m + $10
Now we know that he paid a total of $62.65
Then:
c(m) = $62.65 = $0.65*m + $10
This is the equation we need to solve in order to find m, the number of miles between Gavin's house and the airport.
b)
$62.65 = $0.65*m + $10
We only need to isolate m, we will get:
$62.65 - $10 = $0.65*m
$52.65/$0.65 = m = 81
This means that there are 81 miles between the airport and Gavin's house.
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hence, last option is right
