Answers:
Option 1)
6a + 8s = 102
14a + 4s = 150
each adult ticket costs 9 dollars
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Explanation:
6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102
14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150
The system of equations is
If we multiply both sides of the second equation by -2, we get this updated system
Add the equations straight down
6a+(-28a) = -22a
8s+(-8s) = 0s = 0 ... the 's' terms go away
102+(-300) = -198
So we end up with the equation -22a = -198 and that solves to a = 9 after dividing both sides by -22.
Each adult ticket costs $9
If you want the value of s, then
6a+8s = 102
6(9)+8s = 102
54 + 8s = 102
8s = 102-54
8s = 48
s = 48/8
s = 6
Meaning each student ticket costs $6
Or you could use the other equation
14a+4s = 150
14(9)+4s = 150
126+4s = 150
4s = 150-126
4s = 24
s = 24/4
s = 6
We get the same value of s
<h3><u>Write 6^8 • 6^7 as a single power:</u></h3>
<em><u>Solution:</u></em>
Given that,
We have to write 6^8 • 6^7 as a single power
Given is:
<em><u>Use the following law of exponent</u></em>
When, the base is same, powers gets added
Therefore,
Thus the given is written as a single power
Start in the middle and go up 6 then draw a dot, after that you go up two and right one and do it all the way you can and then to go the opposite way go down two and left one. Hope this helps
When you simpilfy a fraction you make it smaller. When you divide a number you make it smaller.
Ex: 5 /5 1
_ = _
10 /5 2
Easy peasy
slope=(change in rise)/(change in run)
aka
slope between points (x1,y1) and (x2,y2) is
slope=(y2-y1)/(x2-x1) since y is rise/up and x is run/leftright
points
(-7,-9) and (-5,-8)
x1=-7
y1=-9
x2=-5
y2=-8
remember minusing a negative means addin a positive
slope=(-8-(-9))/(-5-(-7))=
(-8+9)/(-5+7)=1/2
slope=1/2
positive slopes go from bottom left to top right
since it is less than 1
it is more horizonal than vertical
