28. -1/3=r-3/4
Move -3/4 to the other side. Sign changes from -3/4 to +3/4
-1/3+ 3/4=r-3/4+3/4
-1/3+3/4=r
Find the common denominator for both of the fractions which is 12. Multiply by 4 for -1/3. Multiply by 3 for 3/4.
-1/3(4)+3/4(3)= -4/12+9/12= 5/12
33. -5/6+c=-11/12
c=-11/12+5/6
Find the common denominator which is 12 for 5/6. Multiply by 2. 5*2=10, 6*2=12
c=-11/12+10/12=-1/12
34. s-1/9=5/18
s-1/9+1/9=5/18+1/9
Find the common denominator which is 18. Mutiply by 2 for 1/9 . 1*2=2, 9*2=18
s=5/18+2/18=7/18
Answers:
28. 5/12
33. -1/12
34. 7/18
<span>Equation (1) x + y = 200
Eauation (2) x = y - 40
x represents the distance from the original location to the firstt city
y represents the
distance from the first city to the second city.
Solution:
(1) x + y = 200
(2) x - y = - 40
----------------------
2x = 200 - 40
2x = 160
x = 160 / 2
x = 80
x + y = 200 => y = 200 - x = 200 - 80 = 120
Therefore the solution (x,y) is (80,120)
Answer: the pair of coordinates that represents the solution (in miles) to this system of
equations is (80, 120) </span>
Two thirds.
1/3 +1/3 = 2/3.
You don’t add the denominator (bottom terms), you only add the numerators (the top terms)
Height=25m
diameter=1.8m
so radius=0.9m
soil dugged out to.make well=vol.of well
=pi×r^2×h
=3.14×0.9×0.9×25
=3.14×25×0.81
=63.585m^3