Answer:
The price of the admission is 15.
Step-by-step explanation:
From the information given, you can write the following equations:
a+3e=45 (1)
a+5e=65 (2), where:
a is the admission cost
e is the exhibition cost
First, you can solve for a in (1):
a=45-3e (3)
Second, you can replace (3) in (2):
45-3e+5e=65
45+2e=65
2e=65-45
2e=20
e=20/2
e=10
Finally, you can replace the value of e in (3):
a=45-3e
a=45-3(10)
a=45-30
a=15
According to this, the price of the admission is 15.
Answer:
a) we have the numbers 0, 2, 3, 5, 5. The mean and the median are both 3
b) we have the numbers 0, 0, 3, 5, 7. The mean and the median are both 3
In both cases the mean and the median are 3, but the mode differs. The mean and the median do not uniquely determine the mode.
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given


Required
Determine AC
Since A, B and C are collinear, then:

So, we have:

Answer:
The number of butterflies he collects = 176
The number of moth he collects = 44
Step-by-step explanation:
This question has to do with ratio.
We are told in the question that:He collects 4 butterflies for every moth.
Hence, the ratio of
Butterflies : Moth
4 : 1
Sum of the proportion = 4 + 1 = 5
We are also told he has a total of 220 butterflies and moths.
Hence:
The number of butterflies he collects is calculated as
4/5 × 220 = 176 butterflies
The number of moth that he collects =
1/5 × 220 = 44 moth