Answer: 102 children and 41 adults swam at the pool that day.
Step-by-step explanation:
Let x represent the number of children that swam at the public pool that day.
Let y represent the number of adult that swam at the public pool that day.
On that certain hot summer's day, 143 people used the public swimming pool. It means that
x + y = 143
The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $219.75. It means that
1.25x + 2.25y = 219.75- - - - - - - - -1
Substituting x = 143 - y into equation 1, it becomes
1.25(143 - y) + 2.25y = 219.75
178.75 - 1.25y + 2.25y = 219.75
- 1.25y + 2.25y = 219.75 - 178.75
y = 41
x = 143 - y = 143 - 41
x = 102
Answer:
4 < 2
Cause 4 is much bigger that 2
Answer:
no se
Step-by-step explanation:
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Here you go! Hope this helps
Answer:
-4 sqrt(7)/7
Step-by-step explanation:
csc theta = -4/3
csc theta = hypotenuse / opposite side
hypotenuse = 4
opposite = 3
Using the pythagorean theorem
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9+b^2 = 16
b^2 = 16-9
b^2 = 7
Taking the square root
sqrt(b^2) = sqrt(7)
b = sqrt(7)
We are in the third quadrant so only tan and cot are positive
that means the x and y values are "negative" so a = -3 and b = - sqrt(7)
sec theta = hypotenuse / adjacent
= 4/ - sqrt(7)
rationalizing
-4 sqrt(7)/ sqrt(7)* sqrt(7)
= -4 sqrt(7)/7
