Answer: The third one
Step-by-step explanation:
4d-6<18 Add six to both sides
4d<24 Divide both sides by 4
d<6 It is an open circle because it is not less than or equal to
j = # of jars
b = # of buckets
y = total # of rocks
2j + 3b = y (2 rocks per jar, 3 rocks per bucket)
Because Joy has 3 jars you can plug 3 in for "j", and because she has 4 buckets you can plug in 4 for "b"
2(3) + 3(4) = y
6 + 12 = y
18 = y
I don't know if you have to do this on a graph, or just on a blank space. But, noncollinear means, "not on the same line". So, if you were to draw four points in a blank spot on a piece of paper, just draw four points in random places, making sure they aren't all directly in line with eachother. For a graph, use points like: (-6,2), (5,7), (8,3), and (1,-3). Notice that none of them have the same x or y coordinates, so they can't possibly be collinear.
Answer:
h = 6
Step-by-step explanation:
Given the 2 equations
- 3x + 4y = - 30 → (1)
9x + 5y = 39 → (2)
We require the value of the x- coordinate at the point of intersection, thus require to eliminate the y- term from the equations
Multiply (1) by 5 and (2) by - 4
- 15x + 20y = - 150 → (3)
- 36x - 20y = - 156 → (4)
Add (3) and (4) term by term thus eliminating y
- 51x = - 306 ( divide both sides by - 51 )
x = h = 6
Answer:
Arnez is 4. Andell is 13. Marianne is 7.
Step-by-step explanation:
Let x represent Arnez's age. If we write out an equation, we end up with this:
24 = (9 + x) + (x + 3) + x
24 = 9 + x + x + 3 + x
24 = (x + x + x) + (9 + 3)
24 = 3x + 12
24 - 12 = 3x + 12 - 12
12 / 3 = 3x / 3
4 = x