Mathematics
11 Online
smithm29:
Find how many kilometers were traveled by bike.
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smithm29:
Vocaloid:
"biked 70 km more than bused" means that biked = bused + 70
x = y + 70
Vocaloid:
so solve
x = y + 70
x + y = 300
smithm29:
so would i do 300=70y?
Vocaloid:
how did you get 70y, it's 70 + y
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smithm29:
idek
Vocaloid:
since the first equation is solve for "x" you can replace "x" with "y + 70" whenever x shows up
Vocaloid:
x + y = 300
becomes
y + 70 + y = 300
solve for y
smithm29:
y=115?
Vocaloid:
good
so if y = 115 and x + y = 300, how much is x?
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smithm29:
185?
Vocaloid:
good so 185 is your answer
smithm29:
thx and DANG ur good at math lol
smithm29:
smithm29:
how many dimes did jenny have
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Vocaloid:
0.10d + 0.25q = 7.75
d + q = 40 solve
Vocaloid:
I would use elimination
smithm29:
idk how to do that yet
Vocaloid:
since we want to eliminate q, we can multiply the second equation by 0.25 to match the first
Vocaloid:
0.10d + 0.25q = 7.75
0.25d +0.25q = 10
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smithm29:
ok
Vocaloid:
after we subtract we get 0.15d = 2.25
smithm29:
and get d=15?
Vocaloid:
yeah that's your ans
smithm29:
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smithm29:
How many cans of corn does he buy?
Vocaloid:
same thing as before
Vocaloid:
0.80t + 0.40c = 20.80
t + c = 36
Vocaloid:
solve for c
smithm29:
multiply the 2nd one by0.40?
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Vocaloid:
actually, since we want to eliminate t, we must multiply by 0.80 to get 0.80t in the second row
smithm29:
oh ok
Vocaloid:
0.80t + 0.40c = 20.80
0.80t + 0.80c = 28.80
Vocaloid:
subtracting gives us 0.40c = 8
Vocaloid:
c = ?
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smithm29:
20!
Vocaloid:
good
smithm29:
AYE
smithm29:
so 20 is the answer?
Vocaloid:
yes
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smithm29:
smithm29:
find the width in meters
Vocaloid:
L = W + 4
2L + 2W = 24
solve for W (you can use substitution)
smithm29:
so how would i start this?
Vocaloid:
L = W + 4
means you can replace "L' with "W+4" when it shows up
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Vocaloid:
2L + 2W = 24 becomes
2(W+4) + 2W = 24
solve for W
smithm29:
w=4
Vocaloid:
good
smithm29:
thats the answer?
Vocaloid:
yes
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smithm29:
smithm29:
How many people ordered turkey
Vocaloid:
3.75t + 3.50b = 36.25
t + b = 10
solve for t
smithm29:
would we do the elimination for this one?
Vocaloid:
sure
since you want to eliminate b, multiply equation 2 by 3.50
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smithm29:
ok
Vocaloid:
3.75t + 3.50b = 36.25
3.50t + 3.50b = 35
Vocaloid:
then subtract
Vocaloid:
0.25t = 1.25
smithm29:
so,,, 3.50t+3.50t+35=36.25?
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smithm29:
i mean 3.50t+3.75t+10=36.25
smithm29:
?
Vocaloid:
subtract, not add
Vocaloid:
3.75t - 3.50t = 0.25 t
3.50t - 3.50b = 0
smithm29:
ok so... 3.50t-3.75t-10=36.25?
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Vocaloid:
|dw:1501453453677:dw|
Vocaloid:
|dw:1501453468660:dw|
smithm29:
yeah 35... sorry my brain is fried from all this math XD
Vocaloid:
should end up being 0.25t = 1.25
Vocaloid:
making t = 5 = your answer
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smithm29:
thx
smithm29:
correct!
smithm29:
Vocaloid:
since you have - 3y in both equations, subtract first equation - second equation (watch your positive/negative signs)
Vocaloid:
-10x - 6x = ?
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smithm29:
-16x
smithm29:
?
Vocaloid:
good
-88 - 24 = ?
smithm29:
-112
Vocaloid:
good so -16x = -112
x = ?
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smithm29:
7
Vocaloid:
good, so if x = 7 we can substitute back into equation 2
6(7) = 24 - 3y
y = ?
smithm29:
-6?
Vocaloid:
good so (7,-6) = your ans
smithm29:
sweet
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smithm29:
Vocaloid:
same thing, just subtract the two equations and find x
smithm29:
the two -8?
Vocaloid:
the entire equations
Vocaloid:
start by subtracting the x's
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smithm29:
i got -2.3repeated
Vocaloid:
20x - (- 8x) = ?
smithm29:
28x
Vocaloid:
good
28 - (-56) = ?
smithm29:
84
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Vocaloid:
good
so if 28x = 84, x = ?
smithm29:
3!
Vocaloid:
good, so now we substitute back into eq. 2
Vocaloid:
-8(3) = -56 - 8y
y = ?
smithm29:
-4
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smithm29:
so... 3,-4
Vocaloid:
good
smithm29:
Vocaloid:
same concept, subtract the equations.
smithm29:
23x=50-14y?
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Vocaloid:
-16x - 7x = ?
smithm29:
-23 oops i was thinking 23-(-7)
Vocaloid:
wait
Vocaloid:
sorry it should have been -16x - (-7x) = ?
smithm29:
-9
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smithm29:
?
Vocaloid:
good, -9x
Vocaloid:
50 - 77 = ?
smithm29:
-27
Vocaloid:
good, so -9x = -27, so x = ?
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smithm29:
3
Vocaloid:
good
now we re-substitute
Vocaloid:
-7(3) = 77 - 14y
y = ?
smithm29:
7
Vocaloid:
good, so (3,7)
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smithm29:
so... 3,7
smithm29:
?
Vocaloid:
yes
smithm29:
Vocaloid:
since you have +12y and - 12y you can add the equations together and solve for x
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Vocaloid:
make sure you add everything together
smithm29:
ok ill try
smithm29:
so would it be x=-2.8+1.2y?
Vocaloid:
68 - 28 = ?
smithm29:
40
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Vocaloid:
good
so 10x = 40, so x = ?
smithm29:
4
smithm29:
and y = 5?
smithm29:
Vocaloid:
sorry got distracted
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Vocaloid:
your previous answer was right
Vocaloid:
for the new question, do the same thing, add the equations together (make sure you are adding the whole numbers together too)
Vocaloid:
you can use @vocaloid to ping me if I'm afk
smithm29:
x=-9?
Vocaloid:
add the x's together
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Vocaloid:
16x - 8x = ?
smithm29:
omg i thought u had to subtract :0
smithm29:
its 8
Vocaloid:
8x, good
Vocaloid:
-44 + 28 = ?
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smithm29:
oh wait i got that lol
smithm29:
8x=-72
divide by 8 on both sides
x=-9
Vocaloid:
it's not -72
Vocaloid:
-44 + 28 = ?
smithm29:
ugh im dying inside
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Vocaloid:
do you need to take a break? we've been at this for a while
smithm29:
uh sure ill txt u in about 10-15 mins ok?
Vocaloid:
sure
smithm29:
thx
Vocaloid:
ok so we have:
-44 + 28 = ?
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smithm29:
-72
Vocaloid:
nope
smithm29:
oh i thought it said -28
Vocaloid:
so if 8x = -16 then x = ?
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smithm29:
-2
Vocaloid:
good
Vocaloid:
then we can substitute
8(-2) = 28 + 4y
y = ?
smithm29:
11
smithm29:
am i right?
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Vocaloid:
should be -11
smithm29:
oh ok i see
Vocaloid:
so you end up with (-2,-11)
smithm29:
yup
Vocaloid:
can we start a new question, this post is getting long
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smithm29:
yeah