Answer:
5 hours
Step-by-step explanation:
276/12= 23
115/23= 5
Any graph will represent a function if it passes the vertical line test. A graph is a function if for any vertical line drawn it touches the graph at only one point.In other words for every x there is only one y value.
In the given graphs if a vertical line is drawn in the graphs A,B it will touch the graph at two points and hence they are not unctions.Option c s a vertical line that is for one x value there are more than one value of y and so is not a function.Option D will represent a function as any vertical line drawn will touch the graph at only one point.
OPtion D.
Answer:
The correct option is x=3 , y=2
Step-by-step explanation:
According to the HL theorem if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
Now we will plug the value y+1 of equation 1 in equation 2.
2x+3 = 3y+3
2(y+1)+3=3y+3
2y+2+3=3y+3
2y+5=3y+3
Now combine the like terms:
5-3=3y-2y
2=y
y=2
Now plug the value y=2 in equation 1.
x=y+1
x=2+1
x=3
Thus the values of(x.y) are{(2,3)}
Therefore the correct option is x=3 , y=2 .....
14 * 45 = 630
The number that should be put in the box is 630
Answer:
56 total
Step-by-step explanation:
Let the number of girls = x
Let the number of boys = 3x
x 1
=== = ==========
x + 28 3
Cross multiply
3x = x + 28 Subtract x from both sides
3x - x = 28 Combine
2x = 28 Divide by 2
x = 28/2
x = 14
Girls = 14
Boys = 14 + 28 = 42
Is the ratio 3 to 1?
42/14 = 3/1 Yes it does
Total number
14 + 42 = 56