Answer:
Step-by-step explanation:
1.
2.
cosθ+sinθ tan θ
=cosθ+sin θ×(sinθ)/(cosθ)
3.
x²+(y-6)²=35
x²+y²-12y+36=35
x²+y²-12y+1=0
put x=r cosθ
y=r sin θ
square and add
x²+y²=r²cos²θ +r² sin²θ=r² (cos² θ+sin² θ)=r²
r²-12rsinθ+1=0
First, convert 3/5 to a percent by multiplying it by 20/20, getting 60/100, or 60%. Then, find 60% of 40 by multiplying 60 by 40 to get 2,400 and divide it by 100 to get 24, meaning Mark spend $24 on both books. Each of the books cost $12, as 24/2 is 12.
Answer:
The adult ticket costs $18 and the children ticket costs $13.
Step-by-step explanation:
Let the price of the adult ticket be a.
Let the price of the children ticket be c.
Three adults and four children must pay $106. This implies that:
3a + 4c = 106 _______(1)
Two adults and three children must pay $75. This implies that:
2a + 3c = 75 ________(2)
We have two simultaneous equations:
3a + 4c = 106 _____(1)
2a + 3c = 75 ______(2)
Multiply (1) by 2 and (2) by 3 and subtract (1) from (2):
6a + 9c = 225
- <u>(6a + 8c = 212)</u>
c = $13
Put this value of c in (2):
2a + 3*13 = 75
2a + 39 = 75
=> 2a = 75 - 39
2a = 36
a = 36/2 = $18
Therefore, the adult ticket costs $18 and the children ticket costs $13.
Answer:
y=4x-1
Step-by-step explanation:
A. -4
-5x divided by 20 = -4
