Answer:
The missing terms are 768, 192, 48.
Step-by-step explanation:
From the given geometric sequence
First term= a_1=3072
Fifth Term= a_5=12
The general form of a geometric sequence is:
a_n=ar^(n-1)
here a_nis the nth term, a is the first term and r is the common ratio.
We will use the general form for term 5 to calculate the value of r.
So the general form for term 5 will be
a_5=3072* r^(5-1)
Putting the value of a_5
12=3072* r^4
r^4= 12/3072
r^4= 1/256
r^4= 1/[(4)^4]
Solving for r
r= 1/4
Now
a_2= ar^(2-1)
a_2=3072*r
a_2=3072* 1/4
a_2=768
a_3= ar^(3-1)
a_3=3072*r^2
a_3=3072*(1/4)^2
a_3=3072* 1/16
a_3=192
a_4= ar^(4-1)
a_4=3072*r^3
a_4=3072*(1/4)^3
a_4=3072* 1/64
a_4=48
If the gray suitcase weighs 11 lb more than the pink suitcase, the pink suitcase weighs 5 lb than the blue suitcase, and the total of 3 suitcases is 127 lb, then the blue suitcase weighs 35.3 lb
Let the gray suitcase be represented by g
Let the pink suitcase be represented by p
Let the blue suitcase be represented by b
The gray suitcase weighs 11 lb more than the pink suitcase
g = p + 11........(1)
The pink suitcase weighs 5 lb than the blue suitcase.
p = b + 5
b = p - 5...........(2)
Total of 3 suitcases = 127 lb
p + b + g = 127............(3)
Substitute equations (1) and (2) into equation (3)
p + p - 5 + p + 11 = 127
3p + 6 = 127
3p = 127 - 6
3p = 121
p = 121/3
p = 40.3 lb
Substitute p = 40.3 into equation (2)
b = p - 5
b = 40.3 - 5
b = 35.3
The blue suitcase weigh 35.3 lb
Learn more here: brainly.com/question/11865047
Answer:
x = 41/3
y = 199/3
Step-by-step explanation:
Solve using system of equations
x is smaller number, y is larger
eq1> y + 2 = 5x > y = 5x - 2
eq2> 80 = x + y > y = 80 - x
equate
80 - x = 5x - 2
Solving:
x = 41/3
y = 199/3
Answer:
I think probably at least 8 weeks.
