Answer: her speed on the bicycle is 8 mph
Step-by-step explanation:
Let x represent the speed at which she walks. If she rides 6 mph faster than she can walk, then the speed at which she rides is (x + 6) mph
Distance = speed × time
Eli walk from her house to a friends house in one hour. This means that the distance covered is 1 × x = x miles.
Distance on her bicycle in 15 minutes. Converting 15 minutes to hours, it becomes 15/60 = 0.25 hour. Distance covered while riding is 0.25(x + 6) = 0.25x + 1.5
Since the distance is the same,then
x = 0.25x + 1.5
x - 0.25x = 1.5
0.75x = 1.5
x = 1.5/0.75
x = 2
her speed on the bicycle is
x + 6 = 2 + 6 = 8 mph
Answer:
The equation of the line would be y = 5x - 28
Step-by-step explanation:
First, we need to know that perpendicular lines have opposite and reciprocal slopes. Give that information, we know that the new line will be the reciprocal and opposite of -1/5. This would be 5. Now that we have that information, we can use it along with a point to fill in the point-slope form of the equation.
y - y1 = m(x - x1)
y - 2 = 5(x - 6)
Then we must solve for y.
y - 2 = 5(x - 6)
y - 2 = 5x - 30
y = 5x - 28
5% is the same as .05, so in this case, the sales tax is added by .05. Subtract .05 from 24.45 to get the original price of the futon. You'll get $24.40
Coordinates after 270 clockwise rotation is (-6,-2), (-3,-5) and (-8, -5).
<h3>What is graph?</h3>
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given coordinates are: (-2,6) , (-5, 3) and (-5, 8)
For 270° clockwise about the origin, we have the following rule:
(x, y)= (-y, x)
So,
coordinates (-2,6) change into (-6,-2)
coordinates (-5, 3) change into (-3,-5)
coordinates (-5, 8) change into (-8, -5).
Learn more about this concept here:
brainly.com/question/12673036
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