Answer:
$95, $115, $135, $155
Step-by-step explanation:
If the first person gets x dollars:
the next person gets 20 more, so x + 20 dollars
the next person gets x + 40 dollars
and the last person gets x + 60 dollars
We add all these allocations together, and we get $500
x + (x + 20) + (x + 40) + (x + 60) = 500
Combine like terms
4x + 120 = 500
Subtract 120 on both sides
4x = 380
Divide by 4 on both sides
x = 95
So the first person gets $95.
The second person must get $115
The third must get $135
And the fourth must get $155
Checking our work:
95 + 115 + 135 + 155 = 500
The perimeter of a parallelgram is the sum of the lengths of its four sides.
Parallelogram ABCD has sides AB, BC, CD, and AB.
Sides AB and CD are parallel and of equal length = 19 units.
Sides BC and CD are parallel and of equal length. Assuming thi is the length of 5 units given in the statement, the perimeter of the parallelogram ABCD is: 19 units + 19 units + 5 units + 5 units = 48 units.
Please, inform if the length of 5 units corresponds to other distance, but even in that case, with this explanation you should be able to calculate the perimeter of this and other parallelograms.
Answer: 48 untis.
Answer:
m + s = 30
2m + 6s = 100
Step-by-step explanation:
took the test
Answer:
Graph 1: Consistent Dependent
Graph 2: Consistent Independent
Graph 3: Consistent Dependent
Graph 4: Inconsistent
Step-by-step explanation:
Consistent means they have at least one solution. So lines that intersect once or lines that intersect infinitely many times are both consistent systems.
If they are the system that has one solution they are considered independent.
If they are the system that has infinitely many solutions then are considered dependent.
Inconsistent means they won't intersect at all.
First graph shows the same line graphed onto itself. That means they have infinitely many solutions and is therefore a consistent dependent system.
Second graph shows the lines intersecting once. That means they have one solution and therefore is a consistent independent system.
Third graph shows the same description of graph one and is therefore a consistent dependent system.
The last graph shows parallel lines. Parallel lines do not intersect and therefore do not have a solution. So this system is inconsistent.
100,000
because the 8 makes the 9 round up into a 10
