X=weight of the jug
y=witht of liquid when the jug is full
we suggest this system of equations:
x+y/5=250
x+4y/5=550
we solve this system of equations by equalization method.
x=250-y/5
x=550-4y/5
250-y/5=550-4y/5
least common multiple=5
1250-y=2750-4y
-y+4y=2750-1250
3y=1500
y=1500/3
y=500
x=250-y/5
x=250-500/5
x=250-100
x=150
Answer: weight of the jug = 150grams.
9u means you're multiplying 9 into that vector, both components. Same with the 2v. 9*3 = 27 and 9*-1 = -9, so your new vector u is <27, -9>. Now let's do v. 2* -6 (twice) = -12, so your new v vector is <-12, -12>. Add those together now, first components of each and second components of each. 27 + (-12) = 15; -9+(-12)=-21. So the addition of those gives us a final vector with a displacement of <15, -21>
Answer:
$3185
Step-by-step explanation:
Multiply the number of grade 6 students by the money needed ($3.50) and you get 318x3.50=1113
Multiply the number of grade 7 students by the money needed ($3.50) and you get 286x3.50=1001
Multiply the number of grade 8 students by the money needed ($3.50) and you get 306x3.50=1071
Add all the total amounts together and you get $3185
Answer:
a) 
b) 
Step-by-step explanation:
If each curved path has 52% of the previous height this means that 
Then the radius of convergence is 0.52 and this is a geometric series.
The geometric series have the form:
Where
is the first term of the series and r is the radius of convergence.
In this problem
meters = 50 cm
a) Then the rule for the sequence is:
b) we must calculate 
$97.2
120*.75 =90 (discounted price)
90*.08 = 7.2 (amount sales tax)
90 + 7.2= 97.2
