3/4 = 6/x....3/4 = 6/8...notice that proportions are nothing but equivalent fractions
x = 8
3/4=15
let,
total mass is x
x=4×15/3
=20 kg
so, total mass = 20 kg
=2×20/5
=2×4
=8 kg
Hope this helps!
The expression that represents the total volume of both cubes is
.
The volume of a cube is found by multiplying its length, width, and height; for the first cube, this is
V=(2f)(2f)(2f)=8f³.
For the second cube, this is
V=(3g²)(3g²)(3g²)=27g⁶.
The total area is their sum, so 8f³+27g⁶.
In an algebraic equation, you should have at least 2 variables: the independent and the dependent. The independent variable in this case, is the parameter that cannot be controlled - time. This is expressed in minutes using the variable x. The dependent variable is the parameter you want to measure - the distance expressed using the variable y. Since the problem states a parameter of distance in terms of 2 kilometers, y=2. Therefore, I think the choices would be about the amount of minutes it would take for Bradley to cover this distance. Assuming this is the case, then the answer would be:
2 = 2000 - 90x
90x = 2000-2
90x = 1998
x = 1998/90
x = 22.3 minutes
It would take 22.3 minutes for Bradley to cover the 2 kilometers so that he could get home.
Cows : sheep = 5 : 4
5x + 4x = 648
9x = 648
x = 72
5x = 5 * 72 = 360
4x = 4 * 72 = 288
There are originally 360 cows and 288 sheep.
2/3 of the sheep are sold. That means that 1/3 of the sheep are left.
1/3 * 288 = 96
96 sheep are left.
x cows were sold.
(360 - x)/96 = 3/1
360 - x = 288
-x = -72
x = 72
72 cows were sold
