Answer:
180 children and 175 adults
Step-by-step explanation:
Let it be that the amount of children who visited the park that day was x, the rest was adults. It means the quantity of adults equals 355-x.
The payment from the children is 1.5*x (because each children payed 1.5 dollars, the amount of money from children is the fee from one child multiplied by the quantity of children). The money earned by the park's owners from adults are equal to the fee from one adult multiplied by the quantity 4* (355-x)= 1420 -4x
If we add the money from chilren and adults we get the summary profit of park (it is equal to 970 dollars)
1.5x+ 1420-4x= 970
1420-2.5x= 970
x=180- children
355-180=175adults
Answer:
A is a function; B, C and D are not.
Step-by-step explanation:
In other words: Identify the sole function among these relationships.
A function maps any input onto exactly one output.
If a relationship maps any input onto more than one output, it is not a function.
Thus, we eliminate B, C and D. In B, for example, we have the inputs {1, 2, 3}, where the '1' has two y-values associated with it.
On the other hand, A has the domain {-1, 0, 1, 2}, and all four inputs have exactly one associated output.
Answer:
This a vector addition problem and you need to know the law of cosines and law of sines to solve this problem.
Two vector forces of 80lbs and 70 lbs act on an object at 40 degree angle between them.
The magnitude of the resultant force can be found by applying the law of cosines:
c2 = a2 + b2 - 2abcos140°
where a = 80, b = 70 and c is the resultant force vector you are asked to find
Once you find the magnitude of the resultant force, then you can find the angle it makes wrt the 70lb force using the law of sines:
sinα/a = sin140°/c
where α is the angle opposite side a, or the angle between the resultant and the 70lb vector that you are asked to find. so it would be 140lbs
Step-by-step explanation
Answer:
Its non linear because of the x squared. This would indicate an ever increasing answer, not one that has a constant rate. This equation would be quadratic.
Answer:
The correct answer is NO.
Step-by-step explanation:
There are total 32 actors. We need to divide the actors into equal groups.
Requirement 1: There must be at least 2 groups.
Requirement 2: There must be at least 6 actors in each group.
Requirement 3: There must be less than 8 actors in each group.
If we make groups of 6 actors each (group should have at least 6 actors), we will have 5 equal groups but would be left with 2 actors. This would violate requirements 2 as well as 3.
If we make groups of 7 actors each, we will have 4 equal groups but would be left with 4 actors. This would again violate requirements 2 as well as 3.
Lastly if we make groups of 8 actors each, we will have 4 equal groups. But this would then violate requirement 3 as each group has less than 8 actors.
Thus we cannot divide 32 actors in equal groups according to the given requirements.
