Let x be the number of child tickets he bought
Let y be the number of adult tickers he bought
① x+y=7 (child tickets+adult ticket=7 tickets in total)
② 2x+4y=24 (price of child tickets+price of adult tickets=$24 in total)
We may simply the second equation since all of the coefficients are divisible by 2.
① x+y=7
② x+2y=12
We can now use elimination by multiplying the second equation by -1.
② -(x+2y=12)
② -x-2y=-12
① x+y=7
② -x-2y=-12
Now putting the equations together,
-y=-5
y=5
x=2
Therefore he bought 2 child tickets and 5 adult tickets
Answer:
99,117
Step-by-step explanation:
1) Use the partial sum method.
1 8 4 9 2
+ 8 0 6 2 5
9 0 0 0 0 (10000+80000)
8 0 0 0 (8000+0)
1 0 0 0 (400+600)
1 1 0 (90+20)
7 (2+5)
----------------------------------
9 9 1 1 7
Answer:
The geometrical relationships between the straight lines AB and CD is that they have the same slope
Step-by-step explanation:
Given


Required
The relationship between AB, CD
Since AB is a straight line and O is the origin, then:

Where:
====> 
====>
This implies that:
So:



So, we have:


Calculate the slope (m) of 

For AB


For CD



By comparison:

This implies that both lines have the same slope
Answer:
C. 178−−−√ m
Step-by-step explanation:
Given the following :
v = final velocity (in m/s)
u = initial velocity (in m/s)
a = acceleration (in m/s²)
s = distance (in meters).
Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters
Using the 3rd equation of motion :
v^2 = u^2 + 2as
v^2 = 8^2 + 2(3)(19)
v^2 = 64 + 114
v^2 = 178
Take the square root of both sides :
√v^2 = √178
v = √178