The ratio of female learners to male learners in a class is 3:2. If there are 30 female learners in the class, work out:
1 answer:
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Answer:
The points which satisfy the given lines is ( 1 , 1 )
Step-by-step explanation:
Given as :
The equation of lines is
y = 3 x - 2 ........ 1 And
y = - 2 x + 3 ........ 2
From equation given
3 x - 2 = - 2 x + 3
Or , 3 x + 2 x = 3 +2
Or, 5 x = 5
So , x = = 1
Put the value of x in eq 1
So, y = 3 ( 1 ) - 2
Or, y = 3 - 2 = 1
∴, the points ( x , y ) = ( 1 , 1 )
Hence The points which satisfy the given lines is ( 1 , 1 ) Answer
9514 1404 393
Answer:
30 small chairs and 24 large chairs
Step-by-step explanation:
Let x and y represent the numbers of small chairs and large chairs built in a day. Then the relations for using available time are ...
20x +50y = 30×60
60x +90y = 66×60
Removing common factors, these can be written in standard form as ...
2x +5y = 180
2x +3y = 132
Subtracting the second equation from the first gives ...
2y = 48
y = 24 . . . . . divide by 2
Using the first equation to find x, we have ...
2x +5(24) = 180
2x = 60 . . . . . . . . . . subtract 120
x = 30 . . . . . . . . divide by 2
The company can build 30 small chairs and 24 large chairs in a day.
