Answer:
m = 8
Step-by-step explanation:
5m - 8 = 3m + 8
-3m -3m
2m - 8 = 8
+ 8 + 8
2m = 16
/2 /2
m = 8
Hope this helps!
Answer:
26
2
/3 cm3
Step-by-step explanation:
V = (6
2
3
)(2)(2) = 26
2
3
Can also be solved by counting the fractional cubes.
Answer:12
Step-by-step explanation:6x2=12
Answer:
Melinda will paint 5/8 part of a wall when Desiree has finished painting 1 wall.
Step-by-step explanation:
It is given that:
Melinda can paint 1/4 of a wall in the same time that Desiree can paint 2/5 of a wall.
Let 't' be the time taken by Melinda and Desiree to paint 1/4 and 2/5 of a wall respectively.
Now the time taken by Desiree to paint 1 wall will be:
2/5 of wall= t
1 wall= (5/2) t
Now in this time ( i.e. 5/2 t) the part of a wall painted by Melinda will be:
As Melinda takes-- t time to paint= 1/4 of a wall
5/2 t she will paint= (5/2)×(1/4) of a wall= (5/8) of a wall.
Hence Melinda will paint 5/8 part of a wall when Desiree has finished painting 1 wall.
Answer:
$ 3199.0
Step-by-step explanation:
Let the number of shares of ABC = x
and XYZ = y
writing each as a linear equation
32 x + 23 y = 10100 equation 1
1.2 x + 1.4 y = 540
1.4 y = 540 - 1.2 x
y = ( 540 - 1.2 x) / 1.4
substitute for y in equation 1
32 x + 23( 540 - 1.2 x) / 1.4 = 10100
32 x + 8871.43 - 19.71 x = 10100
collect the like terms
32 x - 19.71 x = 10100 - 8871.43
12.29 x = 1228.57
x = 1228.57 / 12.29 = 99.97
the amount of money to be invested in ABC shares = 99.97 × $ 32 = $ 3199.0
