Answer: 188 children and 200 adults were admitted
Step-by-step explanation:
Let x represent the number of children that were admitted.
Let y represent the number of adults that were admitted.
On a certain day, 388 people entered the park. It means that
x + y = 388
The admission fee at the amusement park is $2.00 for children and $6.80 for adults. The admission fees collected on that day totaled $1736. It means that
2x + 6.8y = 1736- - - - - - - - - - 1
Substituting x = 388 - y into equation 1, it becomes
2x + 6.8y = 1736
2(388 - y) + 6.8y = 1736
776 - 2y + 6.8y = 1736
- 2y + 6.8y = 1736 - 776
4.8y = 960
y = 960/4.8
y = 200
x = 388 - y = 388 - 200
x = 188
If a student tells me that an argument that has a false hypothesis cannot be valid, I would reply that we need to look carefully at the meaning of validity in the context of logic. In everyday speech, we tend to use “valid” to mean the same thing as “true” or “accurate.” In logic, this is not the way the term is used.
<span>she needs to put $6,079.58 in the bank now</span>
Answer:
No
Step-by-step explanation:
How to solve :
(a-4)/(a^2+8a+12)*(a^2-2a-48)/(a^2+4a-32)
Factor:
a^2+8a+12 = (a+6)(a+2)
a^2-2a-48 = (a-8)(a+6)
a^2+4a-32 = (a+8)(a-4)
simplify a+6, and a-4
you are left with (a-8)/(a+2)(a+8) = (a-8)/(a^2+10x+16)
