[6.02] Fun Land theme park has a total of 80 males and females who are employed at the park. If the number of males is 20 more than twice the number of females, how many males are employed at the park?
80
60
30
20
can any one can help me
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OpenStudy (anonymous):
Is it 80
jimthompson5910 (jim_thompson5910):
let m = # of males and f = # of females
jimthompson5910 (jim_thompson5910):
Fun Land theme park has a total of 80 males and females
which means
m + f = 80
solve for f to get f = 80 - m
jimthompson5910 (jim_thompson5910):
If the number of males is 20 more than twice the number of females
tells us that
m = 2f + 20
jimthompson5910 (jim_thompson5910):
now plug in f = 80 - m to get
m = 2f + 20
m = 2(80 - m) + 20
m = 160 - 2m + 20
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jimthompson5910 (jim_thompson5910):
I'll let you finish up
OpenStudy (anonymous):
i will =138 loli don't know how to solve it :( thanks for helping me
jimthompson5910 (jim_thompson5910):
m = 160 - 2m + 20
m = 180 - 2m
m+2m = 180
3m = 180
m = 180/3
m = 60
OpenStudy (anonymous):
i see now
OpenStudy (anonymous):
can you help on this. [6.03] What is the value of the y variable in the solution to the following system of equations?
3x - 6y = 12
-2x + 3y = 6
-14
24
14
-24
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jimthompson5910 (jim_thompson5910):
double everything in equation 2 to get -4x+6y = 12
now add the equations to get
3x - 6y = 12
-4x+6y = 12
-------------
-x + 0y = 24
-x = 24
so x = ???
Note: this is NOT the answer since you need to find y, not x
OpenStudy (anonymous):
Do i x times 24 how do i solve
jimthompson5910 (jim_thompson5910):
if -x = 24, then x = -24
jimthompson5910 (jim_thompson5910):
now use this to find y
OpenStudy (anonymous):
x=1
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jimthompson5910 (jim_thompson5910):
-2x + 3y = 6
-2(-24) + 3y = 6
48 + 3y = 6
solve for y
OpenStudy (anonymous):
so 48 + 3y =6
-3 -3
48 = 3
48 48
right
jimthompson5910 (jim_thompson5910):
48 + 3y = 6
48 + 3y-48 = 6-48
3y = -42
y = ???
OpenStudy (anonymous):
Y= -14
jimthompson5910 (jim_thompson5910):
yep
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OpenStudy (anonymous):
thank you so much
jimthompson5910 (jim_thompson5910):
you're welcome
OpenStudy (anonymous):
want to help on this two [6.06] Which point lies in the solution set for the following system of inequalities?
y > x + 4
y > -2x + 2
(-4, 0)
(-3, 2)
(2, -1)
(0, 6)
jimthompson5910 (jim_thompson5910):
plug each point into both inequalities and see which point makes them both true
jimthompson5910 (jim_thompson5910):
the point that makes both true is a solution
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OpenStudy (anonymous):
so how do i sit it up
jimthompson5910 (jim_thompson5910):
for example
y > x + 4
0 > -4 + 4 .... plug in (-4,0)
0 > 0... that's false, so choice A is out
OpenStudy (anonymous):
can you give me a example so we can both solve?
jimthompson5910 (jim_thompson5910):
try out choice B and show me what you get
OpenStudy (anonymous):
(-3, 2) y<-3+2 i need help now
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jimthompson5910 (jim_thompson5910):
y > x + 4
y > -3 + 4 ... plug in x = -3
2 > -3 + 4 ... plug in y = 2
keep going
OpenStudy (anonymous):
how you got 4 did i do something wrong??
jimthompson5910 (jim_thompson5910):
the 4 is part of the first inequality
OpenStudy (anonymous):
oh ok
OpenStudy (anonymous):
I am lost now
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jimthompson5910 (jim_thompson5910):
you basically start with y > x+4 then plug in (-3,2)
OpenStudy (anonymous):
ok so what is next
jimthompson5910 (jim_thompson5910):
simplify
OpenStudy (anonymous):
so simplify the y>x+4 then plug in -3 2
jimthompson5910 (jim_thompson5910):
no, plug it in first, then simplify
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OpenStudy (anonymous):
oh ok so it will be like this -3y+4 right???
jimthompson5910 (jim_thompson5910):
you just simplify this
2 > -3 + 4
OpenStudy (anonymous):
oh ok sorry
OpenStudy (anonymous):
so = 9?
jimthompson5910 (jim_thompson5910):
2 > -3 + 4
2 > 1
is that true? or false?
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