Answer:
2/45
Step-by-step explanation:
0.04... is the same as 0.1 * 0.4... because we are moving it up a decimal place, it's the same as multiplying by ten: we needed to multiply by a tenth to cancel that out. 0.4... is the same as 4/9 and 0.1 is the same as 1/10. We can rewrite the expression above as: 
. Multiplying the two fractions results in 4/90 which can be simplified to 2/45.
1) we calculate the volume of the first carton:
volume=length x width x height
volume=3 ft * 2 ft * 2 ft=12 ft³
Therefore:
A machine can fill 12 ft³ in 3 seconds.
2) we calculate the volume of the second carton.
volume=length x width x heigth
volume=4 ft * 5 ft * 6 ft=120 ft³
3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.
12 ft³---------------------3 seconds
120 ft³-------------------- x
x=(120 ft³ * 3 seconds) / 12 ft³=30 seconds.
answer: 30 seconds.
1. -18 +15x = 3(4x-6) + 3x
-18 + 15x = 12x - 18 + 3x
-18 + 3x = -18 + 3x
3x = 3x
x = All Real Numbers (because we don't know what x is since the equation is 3x = 3x, we can assume that it is all "real" numbers)
2. -10 + 5x = 5(x - 3) + 5
-10 + 5x = 5x - 15 + 5
-10 = -10
Answer Undefined (because the x coefficients canceled out, we don't know what x even is, so we can claim it as undefined.)
Answer:
Maya's hair grows at the rate of 1.25cm per month
Step-by-step explanation:
After Maya shaved her hair,
She monitored the growth and recorded the length of the hair monthly in centimeters using the equation ell=1.25mℓ=1.25mell
Therefore, since the length of hair is recorded on a monthly basis, 1.25 in the equation refers to the rate of growth as measured by the length of hair per month.
The answer for the question is 21
