Answer:
Student ticket: $2
Adult ticket: $5
Step-by-step explanation:
1. Setting up the system of equations
let x be the cost for a child
let y be the cost for an adult
For the monday, that would be:
33x + 42y = 276
For the tuesday, you ahve
46x + 40y = 292
2. Solving
First, simplify each equation
33x + 42y = 276
To get all the numbers smaller divide both sides by 3
11x + 14y = 92
Do the same for the other equation:
46x + 40y = 292
divide both sides by 2
23x + 20y = 146
You want to use elimination, so take the equation 11x + 14y = 92 and multiply both sides by 10
110x + 140y = 920
Take the equation 23x + 20y = 146 and multiply both sides by 7
161x + 140y = 1022
Subtract the two equations:
110x + 140y = 920
- (161x + 140y = 1022)
-51x = -102
divide both sides by -51
x = 2
Plug this into the original equation, 11x + 14y = 92:
11 * 2 + 14y = 92
22 + 14y = 92
subtract 22 from both sides
14y = 70
divide both sides by 14
y = 5
So the cost of a student ticket is $2 and the cost of an adult ticket is $5
Answer:
150/class
Step-by-step explanation:
Step-by-step explanation:
1.Assuming the same sample size and considering the same value for the errors ( not taking into consideration the type of music, the volume of the sound and cow familiar the runner is with that type of stimuli, age group, time of the day/ number of days, running conditions like wether and equipment, distance) one can state:
A. Music has no influence over the running speed ( when jogging) in Washington DC
B.When listening to music, people ( in Washington DC) run faster while jogging
The mean running speed is a simple, ponderate or other type of mean ( that takes into consideration the variations of speed at the beginning and by the end of the race?
-7(3x-1)
Let’s distribute that.
-7 x 3x = -21x
-7 x -1 = 7
Let’s rewrite, using the distributed numbers I just got.
91 = -21x + 7
Now, let’s solve for x.
91 -7 = -21x + 7 -7
(Remember, whatever you do on one side you do on the other)
84=-21x
84/-21=-21x/-21
-4=x
Solution : x=-4
Answer:
Step-by-step explanation:
Divide the base ten number by 5 into a quotient and remainder, noting the remainder. Repeat this process with quotient as number, until the number is zero.
241 = 5 × 48 → remainder 1
48 = 5 × 9 → remainder 3
9 = 5 × 1 → remainder 4
1 = 5 × 0 → remainder 1 ↑ read remainders up the way
Finish here since number is zero
The remainders in reverse order give the value of 241 in base 5, that is
=