Answer:
3/4
Step-by-step explanation:
dividing by a fraction is the same as multiplying by its reciprocal.
Therefore,
(1/2) / (2/3) = (1/2) * (2/3) = (3/4)
Function:
(maximum number of packages: 160)
Step-by-step explanation:
In this problem, we have:
is the capacity of the truck (the amount of mass that can be stored in the truck)
p = 50 kg is the mass of each package that need to be stored in the truck
We can find the number of packages that can be transported as follows: calling this number x, the total mass of x packages is

This amount should be at most equal to the capacity of the truck, therefore:

And substituting the numbers,

And solving the equation, we can found the number of packages that can fit into the truck:

Learn more about equations:
brainly.com/question/11306893
brainly.com/question/10387593
#LearnwithBrainly
Answer:
The width of the rectangle is 75 meters and length is 480 meters.
Step-by-step explanation:
The perimeter of the rectangle = 1110 meters
Let the width of the rectangle = k meters
So,the length of the rectangle = 6k + 30
Now, PERIMETER OF A RECTANGLE = 2(LENGTH + WIDTH)
⇒ 1110 = 2( k + (6k + 30))
or, 1110 = 14 k + 60
or, 14 k = 1110 - 60 = 1050
⇒ k = 1050/14 = 75
Hence, the width of the rectangle is k = 75 meters
and the Length of the rectangle is 6k + 30 = 6(75) +30
= 480 meters
Given:
The fees for a day student are $600 a term.
The fees for a boarding student are $1200 a term.
The school needs at least $720000 a term.
To show:
That the given information can be written as
.
Solution:
Let x be the number of day students and y be the number of boarding students.
The fees for a day student are
a term.
So, the fees for
day students are
a term.
The fees for a boarding student are
a term.
The fees for
boarding student are
a term.
Total fees for
day students and
boarding student is:

The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.


Divide both sides by 600.


Hence proved.