Answer:
33.75 miles in 45 minutes,
45 miles in an hour
Step-by-step explanation:
45 minutes: 2 1/3= 7/3 ---> 7/3*3=7,
1 3/4= 7/4 ---> 7/4*3=5.25
car travels 5.25 miles for every 7 minutes,
45/7*5.25= 33.75 miles
1 hour (60 minutes):
using that the car travels 5.25 miles for every 7 minutes,
60/7*5.25= 45 miles
Hope that makes sense!
Answer:
2.54379284 hp.
Step-by-step explanation: Torque is defined as the engines rotational force. First we find the distance = m in equation- then we use the formula Power = work/time = 16.7/ 5 = 3.34 and Horsepower formula is given by. Horsepower = (Torque × Speed) / 5252. HP = (3.34 × 4000) / 5252. HP = 13360/5252. HP = 2.54379284 hp.
Given : W=4000 m=? h=20 m
Time of operation t =5 s
Work done in lifting a box W=mgh= ? ×12×20=4000 = m = 4000/240=16.6666667 = 16.7KG
Power required P= W/t = w/p = 120000/120 =1000 watts We divide 60/5 = 120 then divide by 10 = 12 (being g)
In standard form it would be x + 2y = 8.
x + 2y = 8
2y = -x + 8
y = -1/2x +4
Answer:
60 professors and 168 lecturers
Step-by-step explanation:
What you have is a 2 equations system with 2 unknown variables.
Let X be the number of professors and Y be the number of lecturers. As the total of both is 228:
X + Y = 228
Then, as there are 5 professors for every 14 lecturers:
5 X = 14 Y or X = (14/5) Y
Replacing this last value of X on the first equation:
(14/5) Y + Y = 228
(14/5) Y + (5/5) Y = 228
(19/5) Y = 228
Y = 228 * (5/19)
Y = (228*5)/19
Y = 1140 / 19
Y = 60
Then we can find X:
X = (14/5) Y = (14/5) * 60 = 168
X = 168
:)
Use A²+B² = C²
so you get sqrt 400 * 400 + 900 * 900
sqrt of 160000 + 810000
or sqrt of 970000
which is 984.9 feet
