Answer:
63, 64, 65
Step-by-step explanation:
Consecutive integers have a difference of 1 between them
let the 3 integers be n, n + 1 and n + 2 , then their sum equals 192
n + n + 1 + n + 2 = 192
3n + 3 = 192 ( subtract 3 from both sides )
3n = 189 ( divide both sides by 3 )
n = 63 ⇒ n + 1 = 64 and n + 2 = 65
the 3 integers are 63, 64 and 65
If the equation is in y = k*x form, then we have a direct proportional relationship between x and y. In this case, y = (1/5)*x is in the form y = k*x where k = 1/5. So this equation is proportional. The constant of proportionality is k = 1/5
In terms of a graph, you can tell if it has the following properties:
1) The graph goes through the origin (0,0) which is where the x and y axis cross
2) The graph is a straight line
You should find that graphing y = (1/5)x will satisfy both properties above, so that will visually confirm you have the right answer. The graph is shown in the attached image. The red line represents the graph of the equation. The red line goes through (0,0) and (5,1), which are point A and point B respectively.
Answer:
The answer is below
Step-by-step explanation:
The volume of a cuboid is the product of its length, height and breadth. It is given by:
Volume = length × breadth × height
Since the volume is given by the expression 12y² + 8y - 20. That is:
Volume = 12y² + 8y - 20 = 4(3y² + 2y - 5) = 4(3y² + 5y - 3y -5) = 4[y(3y + 5) -1(3y + 5)]
Volume = 4(y-1)(3y+5)
Or
Volume = 12y² + 8y - 20 = 2(6y² +4y - 10) = 2(6y² + 10y - 6y -10) = 2[y(6y + 10) -1(6y + 10)]
Volume = 2(y-1)(6y+10)
Therefore the dimensions of the cuboid are either 4, y-1 and 3y+5 or 2, y-1 and 6y+10
Answer:
there are 10 red marbles, 10 yellow marbles and 10 green marbles.
Step-by-step explanation:
think 1/4. the 4 is the same as 40 so if there is 1 that would be 10. so the rest of the colors are all 10 marbles:)