Speed can be defined as the <em><u>distance covered per time. </u></em>
The average speed formula is given as: Distance/Time
The average speed of Samuel's morning training is 7 2/3 miles/hour
We are to calculate the time in hours. Remember conversion rate :
60 minutes = 1 hour
He did 3 activities every morning
- a) Ran for 30 minutes, covering 4.5 miles.
60 minutes = 1 hour
30 minutes = ?
Cross Multiply = 30 minutes x 1 hour / 60 minutes
= 0.5 hour
Hence: Speed = 4.5 miles/0.5 hour
= 9 miles/hour
- b) Swam for 20 minutes, covering 2/3 miles
60 minutes = 1 hour
20 minutes = ?
Cross Multiply = 20 minutes x 1 hour / 60 minutes
= 1/3 hour
Hence: Speed = 2/3 miles/ 1/3 hour
= 2/3 x 3/1 (miles/hour)
= 2 miles/hour
- c) Biked for 45 min, covering 9 miles.
60 minutes = 1 hour
45 minutes = ?
Cross Multiply = 45 minutes x 1 hour / 60 minutes
= 3/4 hour
Hence: Speed = 9 miles/ 3/4 hour
= 9 x 4/3 (miles/hour)
= 12 miles/hour
- Samuel's average speed during his morning training is calculated as:
(9 + 2 + 12) miles/hour / 3
= 23/3
= 7 2/3 miles/hour
To learn more, visit the link below:
brainly.com/question/14796641
Answer:
the hell Well fist off you need to be able to graph to if you have a phone and look it up.
Solving for X:
1) y=-8x+6.5 y=-4x+11
2) -8x+6.5=-4x+11
3) -8x=-4x+11-6.5 (Subtract 6.5 from both sides)
4) -8x+4x=11-6.5 (Add 4x to both sides)
5)-4x=4.5
5)x=-1.125
Solving for Y:
y=-8(-1.125)+6.5
y=9+6.5
y=15.5
y=-4(-1.125)+11
y=4.5+11
y=15.5
x=-1.125
y=15.5
or
(-1.125,15.5)
Answer:
they both involve the hypotenuse
Step-by-step explanation:
Answer:
The equation that represents the population after T years is
![P_{t} = 7,632,819,325 [1 +\frac{1.09}{100} ]^{T}](https://tex.z-dn.net/?f=P_%7Bt%7D%20%20%3D%207%2C632%2C819%2C325%20%5B1%20%2B%5Cfrac%7B1.09%7D%7B100%7D%20%5D%5E%7BT%7D)
Step-by-step explanation:
Population in the year 2018 ( P )= 7,632,819,325
Rate of increase R = 1.09 %
The population after T years is given by the formula
![P_{t} = P [1 +\frac{R}{100} ]^{T}](https://tex.z-dn.net/?f=P_%7Bt%7D%20%20%3D%20P%20%5B1%20%2B%5Cfrac%7BR%7D%7B100%7D%20%5D%5E%7BT%7D)
-------- (1)
Where P = population in 2018
R = rate of increase
T = time period
Put the values of P & R in above equation we get
This is the equation that represents the population after T years.
