The answer is 4 3/8 boxes because 1 3/4 x 2 1/2 ＝ 4 3/8.
Answer:
Step-by-step explanation:
1) since the sixth term is 3 and the fifth term 24, the common ratio would be 3/24 = 1/8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
If t6 = 3,r = 1/8, then
3 = a × 1/8^(6 - 1) = a × (1/8)^5
a = 3/(0.125)^5 = 98304
The first term is 98304.
Second term is 98304 × 1/8 = 12288
Third term is 12288 × 1/8 = 1536
Third term is 1536 × 1/8 = 192
2) t1 = 4
t2 = - 3t(2- 1) = - 3t1 = - 3 × 4 = - 12
t3 = - 3t(3- 1) = - 3t2 = - 3 × - 12 = 36
t4 = - 3t(4- 1) = - 3t3 = - 3 × 36 = - 108
3) let the numbers be t2,t3 and t4
The sequence becomes
1/2, t2,t3, t4,8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
8 = 1/2 × r^(5 - 1)
8 = 1/2 × r^4
16 = r^4
2^4 = r^4
r = 2
t2 = 1/2 × 2 = 1
t3 = 1 × 2 = 2
t4 = 2 × 2 = 4
Answer:
Step-by-step explanation:
The equation for a line is y=mx + b where m represents the slope
If a line is perpendicular to another line, it's slope is the negative reciprocal of the other line's slope.
The reciprocal of -4 is 
And the negative of that would be
Answer:
can't see the pic properly
Answer:
10 carbs in snack bars
14 carbs in milk
Step-by-step explanation:
Glasses of Milk = m
Snack Bars = s
I am going to make this a system of equations:
2m + 3s = 58
4m + 2s = 76
I am going to simplify one of them for a s:
4m + 2s = 76
2s = 76 - 4m
s = 38 - 2m
I am going to insert this into the other equation:
2m + 3s = 58
2m + 3(38 - 2m) = 58
2m + 114 - 6m = 58
(-4)m + 114 = 58
(-4)m = -56
m = 14 calories
I am going to plug this m into one of the equations (doesn't matter which):
2(14) + 3s = 58
28 + 3s = 58
3s = 30
s = 10
You can plug these values back into each of the equations to make sure they work.
Hope it helps! UvU
