Answer:
B
Step-by-step explanation:
2/5 + 2/5 +2/5 = 6/15 < 7/15
First, convert 5 hours into minutes:
5 hours 60 min
------------ * --------------- = 300 min
1 1 hr
Next, find the unit rate in m/min:
9673.6 m
--------------- = 32.24 m/min
300 min
Now find the distance you can walk in 70 minutes at this rate:
32.24 m
------------- * 70 min = 2247 meters (answer)
1 min
You could walk 2247 meters (to the nearest meter) in 70 minutes.
Answer with Step-by-step explanation:
Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'
Thus the product of the 2 numbers is given by
We know that the sum of 'n' consecutive natural numbers starting from 1 is
Thus from equation 'i' we can write
As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.
Solve the following system using elimination:
{3 a + 4 b = 2 | (equation 1)
{5 a + 9 b = 1 | (equation 2)
Swap equation 1 with equation 2:
{5 a + 9 b = 1 | (equation 1)
{3 a + 4 b = 2 | (equation 2)
Subtract 3/5 × (equation 1) from equation 2:
{5 a + 9 b = 1 | (equation 1)
{0 a - (7 b)/5 = 7/5 | (equation 2)
Multiply equation 2 by 5/7:
{5 a + 9 b = 1 | (equation 1)
{0 a - b = 1 | (equation 2)
Multiply equation 2 by -1:
{5 a + 9 b = 1 | (equation 1)
{0 a+b = -1 | (equation 2)
Subtract 9 × (equation 2) from equation 1:
{5 a+0 b = 10 | (equation 1)
{0 a+b = -1 | (equation 2)
Divide equation 1 by 5:
{a+0 b = 2 | (equation 1)
{0 a+b = -1 | (equation 2)
Collect results:
Answer: {a = 2
{b = -1
-6 minus 6=0 i think it is correct
