Answer:
the Answer is 150x + 12100 ≤ 26500
Step-by-step explanation:
The max weight is 26500 so the weight would have to be the same or less than 26500 (≤)
There is already 12100 killograms on the sipping containter so that is why you have + 12100
and you have 150x because x is the number of 150-kilogram crates
and for as many crates you have to multiply by the weight.
Answer:
A, B, C, and D, all options are correct.
A is correct because,
∠2 and ∠3 are corresponding angles.
B is correct because,
∠5 and ∠7 are corresponding angles.
C is correct because,
∠2 and ∠4 are corresponding angles.
D is correct because,
∠5 and ∠6 are alternate interior angles.
Note,
If two lines parallel, then
- Corresponding angles are equal.
- Alternate interior angles are equal.
Answer:
No solution
Step-by-step explanation:
The given equations are :
9x-3y=-6
3x-y=2.....(1)
5y=15x+10
5y-15x=10
or
y-3x=2 .....(2)
Equations (1) and (2) shows that the lines are parallel. We know that for parallel lines, there is no solution.
Answer:
Step-by-step explanation:
1. Blue region. The boundary blue line passes through the points (0,-7) and (3,8), then its equation is
This line is solid, so the sign for the inequality should be with the notion "or equal to".
From the diagram you can see that the origin belongs to the blue region, then its coordinates satisfy the inequality. Thus,
2. Green region. The boundary green line passes through the points (6,-1) and (0,3), then its equation is
This line is solid, so the sign for the inequality also should be with the notion "or equal to".
From the diagram you can see that the origin doesn't belong to the blue region, then its coordinates satisfy the inequality. Thus,
3. The system of linear inequalities that represents these graphs is
To find the mean of a set, add up all of the data points and divide by the number of data points.
For the first set:
(14+18+21+15+17) ÷ 5 = 85 ÷ 5 = 17
For the second set:
(15+17+22+20+16) ÷ 5 = 90 ÷ 5 = 18
To find the MAD (mean absolute deviation) of a set, find the mean of the distances of each data point from the mean.
For the first set:
(3+1+4+2+0) ÷ 5 = 10 ÷ 5 = 2
For the second set:
(3+1+4+2+2) ÷ 5 = 12 ÷ 5 = 2.4
To find the means-to-MAD ratio of a set, divide its mean by its MAD.
For the first set:
17 ÷ 2 = 8.5
For the second set:
18 ÷ 2.4 = 7.5
