Answer:
Step-by-step explanation:
Let the price for children and adults package be represented with x and y respectively.
For the first week the sum of the package will be as follows:
3x+8y = 126
For the two weeks after:
6x+4y= 108
So, we will be having two equations
3x+8y = 126..... (1)
6x+4y= 108.......(2)
These are simultaneous equations
From equation 1
3x+8y = 126
3x = 126-8y
X = 126-8y/3 ............. (3)
Put equation 3 into 2
6 ( 126-8y)/3 +4y = 108
756-48y/3 +4y = 108
756-48y+12y/3 = 108
Cross multiplying
756-48y+12y= 108×3
756-48y+ 12y = 324
Collecting like terms
756-324 = 48y-12y
432= 36y
Divide both sides by 36
432/36 = 36y/36
y= 12
Substituting y into equation 1
3x+8= 126
3x+96=126
3x= 126-96
3x= 30
Divide both sides by 3
3x/3 = 30/3
x = 10
Hence for each of the packages for children and adults. It will be 10 and 12 respectively.
I don't think it really matters if there's a dash there or not
The answer is:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
Answer:
B
Step-by-step explanation:
5a^2 - 44 = 81 Add 44 to both sides
5a^2 = 81 + 44 Collect like terms
5a^2 = 125 Divide both sides by 5
a^2 = 125/5
a^2 = 25 Take the square root of both sides
√a^2 = √25
a = +5
a = -5
The answer is B
