Answer:
2220
Step-by-step explanation:
gcd of all numbers
3,4,7,5,6,8
2 = 3,2,7,5,3,4
2 = 3,1,7,6,3,2
2 = 3,1,7,5,3,1
3 = 1,1,7,5,1,1
X-y=-1
x+y=5
y=x+1
x+x+1=5
2x+1=5
2x=4
x=2
y=x+1
y=2+1
y=3
To solve this problem, we are going to use a scientific/mathematics strategy called Dimensional Analysis.
40 miles / 1 hour * 5280 feet / 1 mile = 211200 feet / 1 hour
211200 feet / 1 hour * 1 hour / 60 minutes = 3520 feet/ 1 minute
3520 feet / 1 minute * 1 minute / 60 seconds = approximately 59 feet / 1 second
Jackrabbits travel approximately 59 feet per second, when rounded to the nearest whole number.
Substitute 
, so that 
, and
which is separable as
Integrate both sides with respect to 
. For the integral on the left, first split into partial fractions:
Solve for 
:
Replace and solve for 
:
Now use the given initial condition to solve for 
:
so that the particular solution is
Answer:
(A)6 kilometers
Step-by-step explanation:
First, we determine the value of a using Pythagoras Theorem.
Therefore:
Distance along the long route = 8 + 15 =23 km
Distance along the shortcut =17 km
Difference =23-17 =6km
Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.
