Answer:
18 square units
Step-by-step explanation:
area = full square units + 1/2 x half- full square units
full square units = 12
half- full square units = 12
= 12 + (1/2 x 12)
=12 + 6
=18 square units
Answer:
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Answer:
The mass of 150 books = 41.7kg
The number of books that have mass 20kg = 72 books
Step-by-step explanation:
(I) Number of identical books = 108
Mass of books = 30 kg
Mass of 150 books = ?
Let the mass of 150 books = x kg
To find the mass of 150 books we will use ratio and proportion:
108 books: 30kg = 150 books: x kg
You can also write it like this because ratio can be written in division:
108/30 = 150/x
By cross multiplication:
108x = 150*30
108 x= 4500
Divide both sides by 108
108 x/108 = 4500/108
x= 41.7
Thus the mass of 150 books = 41.7kg
( ii ) The number of books that have a mass of 20 kg = ?
Let assume that the number of books of mass 20 kg = y books
We will again use ratio and proportion method.
108 books: 30kg = y: 20kg
We can write it as:
108/30 = y/20
By cross multiplication:
108 *20 = 30y
2160= 30y
Divide both the terms by 30
2160/30 = 30y/30
72 = y
Therefore the number of books that have mass 20kg = 72 books ....
So to solve this question the first step should be to make 7 equal to 42. To do this multiply 7 by 6, likewise with x-4.
The new equation should be 42/6x-24 = 42/12.
We now can just get rid of the numerators (top number) to get 6x-24=12.
The next step is to add 24 to both sides which would leave you with 6x=36.
Divide by 6 and the answer should be x=6
