The line of 2x + 3y= 4 and passes through the point (1, -4) is equal to y= -2/3x - 10/3 that equation written in standard form is 2x/3 + y= -10/3
X= 9th student test score
Add the 9 test scores and divide that total by 9 to equal the average.
(56 + 92 + 78 + 64 + 85 + 83 + 91 + 77 + x)/9= 78
add in parentheses
(626 + x)/9= 78
multiply both sides by 9
626 + x= 702
subtract 626 from both sides
x= 76
ANSWER: 76 is the score needed by the 9th student for a mean of 78.
Hope this helps! :)
Answer:
185590 m
or 185 km 590 meters
Step-by-step explanation:
to calculate total distance covered, convert km to meter and adding the numbers together
1km = 1000m
34 Kilometre 46 metre = (34 x 1000) + 46 = 34046m
143 kilometre 92 metre = ( 143 x 1000) + 92 = 143,092m
5 kilometre 92 metre = (5 x 1000) + 92 = 5092
2 kilometre 60 metre = (2 x 1000) + 60 = 2060
1.3 km = 1.3 x 1000 = 1300
f(-9) means x is -9
Replace x with -9 and solve:
2/3(-9) - 6
Simplify:
-6 - 6 = -12
f(-9) = -12
Answer:
- π/3 radians, 3600 English minutes
- π/6 radians, 333,333 1/3 French seconds
Step-by-step explanation:
An English minute is (1/60)(π/180) radian = π/10800 radian.
A French second is (1/100)(1/100)(π/200) radian = π/2000000 radian.
So, the ratio of angle sizes in common units will be ...
27(π/10800) : 2500(π/2000000) = (2/800) : (1/800) = 2 : 1
Since the total of these ratio units is 2+1 = 3, we need to divide the right angle into 3 parts. The English part will be 2 of those; the French part will be 1 of them. A 1/3 part of a right angle is π/6 radians, so the right angle division will be ...
English : French = π/3 radians : π/6 radians
= 3600 English minutes : 333,333 1/3 French seconds
= 27 : 2500
