Two cyclists, 112 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other, and they meet after 4 hours of riding.a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist.
b. What are the speeds of the two cyclists? Put both values in the answerbox, separated with a comma, and select the appropriate units.
Answers
Answer:
Speed of a= 21 miles/hr
r = Speed of b= 7 miles/hr
Speed of a = 3r
Step-by-step explanation:
The cyclist are 112 miles apart
Time traveled by two = 4 hours
Speed of a = 3 * speed of b
If a cylcles 3 times More than b, then a will cover 3*distance of b
But speed = distance/time
Time = 4hours
Total distance=112
a = 3b
3b + b = 112
4b = 112
b = 112/4
b = 28 miles
a = 3b
a = 3*28
a = 84 Miles
They bought traveled 4 hours
Speed of a = 84miles/4 hours
Speed of a= 21 miles/hr
Speed of b = 28miles/4 hours
Speed of b = 7 miles/hr
Final answer:
The slower cyclist is traveling at a speed of 7 mph, while the faster cyclist is traveling at 21 mph.
Explanation:
We first need to recognize that the sum of the distances travelled by each cyclist is equal to the total 112 miles. We can let r represent the speed of the slower cyclist, and since the faster cyclist is traveling 3 times the speed of the slower, we can call his speed 3r.
As they each traveled for 4 hours, the slower cyclist traveled a distance of 4r miles, and the faster cyclist traveled a distance of 4 × 3r = 12r miles. Their combined distances should equal the total distance between them, 112 miles. This forms the equation 4r + 12r = 112.
To solve for r, we combine the like terms on the left side of the equation to get 16r = 112. Dividing both sides by 16, we find r = 7 miles per hour. Therefore, the slower cyclist is traveling at 7 mph, and the faster cyclist is traveling 3 times that speed, giving us 21 mph.
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Simplify:4n + 6 -(5n+3)A. -n +3B. -n +9C. 9n + 3D. 9n +9
A 1-kg model airplane has 12.5 joules of kinetic energy and 98 joules of gravitational potential energy. What is its speed? What is its height?
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Answers
Answer:
Y = 5
Step-by-step explanation:
Since we know six is the value of X we can go ahead and multiply 4 and 6
4 X 6 = 24
Now there are different ways to find the value of Y
How I find the value is I subtracted 24 from 9
That gives you 15
Next you find what number you need to multiply by 3 to get 15
In this case your answer is 5
Then to be extra sure subtract 24 and 15 and you'll get 9
Hope this helps!
y = 5
substitute x = 6 into the equation and solve for y
(4 × 6 ) - 3y = 9
24 - 3y = 9 ( subtract 24 from both sides )
- 3y = - 15 ( divide both sides by - 3 )
y = 5
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Answer:
the third one cause of it's inputs
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Hope this helped :)
5(2x - 9) + 3 =-
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Answer:
Step-by-step explanation:
5(2x-9)+3
10x - 45 +3
10x - 42
x- 4.2
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The equation of the line perpendicular to x = -4 that passes through the point (-2,5) is y = 5 .
In the question ,
it is given that
the required line is perpendicular to x = -4
the slope of x = -4
x + 4 = 0
0.y = x + 4
slope = 1/0
so the slope of the perpendicular line 0 .
the equation of the perpendicular line passing through (-2,5) and slope as 0 is
(y - 5) 0*(x + 2)
y -5 = 0
y = 5
Therefore , The equation of the line perpendicular to x = -4 that passes through the point (-2,5) is y =5 .
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