Answer:
Step-by-step explanation: <u>Speed</u> is distance an object travelled per unit time.
It is represented by letter v and can assume various units.
1) ![v=\frac{distance}{time}=\frac{d}{t}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bdistance%7D%7Btime%7D%3D%5Cfrac%7Bd%7D%7Bt%7D)
![v=\frac{90}{5}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B90%7D%7B5%7D)
v = 18 miles per hour
Her average speed is 18 mph.
2) Rearraging formula for distance:
d = v.t
d = 70 * 4
d = 280 miles
You would travel 280 miles.
3) ![v=\frac{d}{t}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bd%7D%7Bt%7D)
![v=\frac{315}{6}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B315%7D%7B6%7D)
v = 52.5 mph
My average speed is 52.5 mph.
4) Rearranging formula to determine time:
![t=\frac{d}{v}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bd%7D%7Bv%7D)
![t=\frac{210}{90}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B210%7D%7B90%7D)
t = 2.34 hours
It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.
5) The unit change but the way of calculating time is the same.
![t=\frac{2000}{4}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B2000%7D%7B4%7D)
t = 500 s
or t = 8.34 minutes
It will take, for an athlete to run 2000m, 8.34 minutes.
6) a) All units must match, so for a speed in mph:
45 minutes is 0.75 hours. Total time is 8.75 hours.
![v=\frac{420}{8.75}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B420%7D%7B8.75%7D)
v = 560 mph
The average speed is 560 mph.
b) ![t=\frac{d}{v}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bd%7D%7Bv%7D)
![t=\frac{420}{63}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B420%7D%7B63%7D)
t = 6.67 hours
Sam will take 6.67 hours to covered the distance.
Answer:
Option (D)
Step-by-step explanation:
Coordinates of the points J, E and V are,
J → (-4, -5)
E → (-4, -3)
V → (-1, -1)
This triangle is translated by the rule
given in the question.
Coordinates of the image will follow the rule,
(x, y) → [(x + 2), (y + 4)]
following this rule coordinates of the image triangle will be,
J(-4, 5) → J'(-2, -1)
E(-4, -3) → E'(-2, 1)
V(-1, -1) → V'(1, 3)
Therefore, points given in the option (D) will be the answer.
Better deal normlly means the rate that cost less
rate=cost/amount
9=cost and 3/4 bushel = amount for one store
3/4=0.75
9/0.75=12/1 aka $12/1bushel
9 =cost and 2/3 bushel =amount for another
2/3=about 0.66666
9/0.66666=13.5/1 aka $13.5/1 bushell
compare
12 dollars per bushe vs 13.5 dollar per bushel
12 is cheaper
therefor $9 For 3/4 bushel is better deal
Answer:
12/5 or 2 2/5
Step-by-step explanation:
3/5+3/5+3/5+3/5
=> (3+3+3+3) / 5
=> 12/5
=> 2 2/5
Hope it helps......
4 + 4 + 4 - 1 = 11? Was it supposed to be an equation? I am confused.