Let the school hire x buses and y vans.
A bus can hold 40 students and 3 teachers.
A van can hold 8 students and 1 teacher.
The number of students riding in buses and vans is at least 400, therefore
40x + 8y ≥ 400 (1)
The number of teachers riding in buses and vans is at most 36, therefore
3x + y ≤ 36 (2)
Write (1) and (2) as
y ≥ 50 - 5x (3)
y ≤ 36 - 3x (4)
The equality portion of the solution of (3) and (4) is
36 - 3x = 50 - 5x
2x = 14
x = 7 => y = 36 - 3*7 = 15
A graph of the inequalities indicates the acceptable solution in shaded color, as shown below.
The minimum cost of renting buses and vans is
7*$1200 + 15*$100 = $9900
Answer: The minimum cost is $9,900
m<ABD = 52 Given
BC bisects <ABD Given
m<ABC = m<CBD Definition of angle bisector.
m<ABC +m<CBD = m<ABD Angle addition postulate.
m<ABC +m<CBD = 52 Substitution
m<ABC + m<ABC= 52 Substitution
2m<ABC = 52 Combining like angles
m<ABC = 26 Division property of equality.
Answer:
Amoeba is a single celled eukaryotic organism, found in the water body. These organisms have a false feet called as pseudopodium. It helps in the locomotion and captures food from the external environment. The organism does not exhibit a well defined shape. It has organelles like nucleus and vacuoles surrounded by cytoplasm. The food being captured by psuedopodium is engulfed inside a vacuole. It reproduces by the process of asexual reproduction called as binary fission. The genetic material replicates by the mitotic division, then the cell divides into two equal daughter cells. The amoeba obtains energy from food, and it uses this energy to move, capture food and reproduce.
A clock is a non-living thing. That displays time. It has three needles or hands, the bigger hand displays hour, the small one displays minutes and the thin needle displays seconds. These hands or needles uses energy from a cell or battery.
Characteristics features of amoeba are as follows:
Uses energy
Has internal organization
Characteristics features of clock are as follows:
Uses energy
Contains cells
Lacks genetic material reproduces
Has a defined boundary
Has internal organization
Step-by-step explanation:
Answer: (D) none of the these.
Step-by-step explanation:
- A multimodal distribution refers to a distribution with two or more modes.
If the shape of our data set is multimodal, the it will show two or more peaks which represents the number modes in the data.
Since it has no relation with mean or median of the data, there for the correct option will be "none of these".
Answer:
8.5 bags are needed.
Step-by-step explanation:
Given : Number of bags needed 
To Find : how many bags he needs?
Solution :
Now we are given that Number of bags needed
Substitute the value of x
Hence 8.5 bags are needed.
