Answer:
infinitely many
Step-by-step explanation:
You have the system
(1/2)x + 5y = 6
3x + 30y = 36
Multiplying the first equation by 6 results in 3x + 30y = 36, which is exactly the same as the second equation. The two graphs coincide, and so there are infinitely many solutions to this system
There are 81 band members. :-)
4 rows of 20 = 80 ... with one left over = 80 + 1 (81)
6 rows of 13 = 78 ... with three left over = 78 + 3 (81)
7 rows of 11 = 77 ... with four left over = 77 + 4 (81)
Answer:
Step-by-step explanation:
During the card game, the number of points that Adam scored is x. Imran scored 3 points fewer than Adam. It means that the number of points that Imran scored is
(x - 3) points
I)Shakeel scored twice as many points as imran. It means that the expression for the number of points that Shakeel scored is
2(x - 3) points
Ii) Together they scored 39 points. Therefore, the equation which may be used to find the value of × would be
x + x - 3 + 2(x - 3) = 39
x + x - 3 + 2x - 6 = 39
x + x + 2x - 3 - 6 = 39
4x - 9 = 39
Answer:
Part a) 
Part b) The coordinates of the point are 
Step-by-step explanation:
Part a) Find the equation representing the ladder
we have the ordered pairs
(0,4) and (2,0)
Find the slope
Find the equation of the line in slope intercept form
we have
substitute
Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.
If the box is a square
the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate
x=y
substitute
therefore
The coordinates of the point are
