Asum of rs.41 was divided among 50 boys and
girls. each boys gets 90 paise and a girl65 paise.
find the number of boys and girls

The number of boys is 34   And The number of girls is 16

Step-by-step explanation:

Given as :

Total number of boys and girls =  50

Total amount to be divided between boys and girls =  Rs 41

The amount given to each boys = 90 paise = Rs 0.9

The amount given to each girls = 65 paise = Rs 0.65

Let The number of Boys = B

The numbers of girls = G

So, According to question

0.9 B + 0.65 G = Rs 41

And B + G = 50

Or, 0.9 B + 0.65 G = Rs 41          .......1

And 0.9 B + 0.9 G = 45                 ......2

Now, (  0.9 B + 0.9 G ) - ( 0.9 B + 0.65 G ) = 45 - 41

Or,      0.25 G = 4

∴                  G = = 16

And The number of boys = B = 50 - G = 50 - 16 = 34

Hence  The number of boys is 34   And The number of girls is 16   Answer

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: