Using proportions, it is found that:
a) They can paint 2.8 pictures in one hour.
b) The rate per hour is of 131.2 magazines.
c) The unit rate is of 0.86 problems per minute.
d) He can make 92.5 tacos in one hour.
e) He walks 3.75 miles in one hour.
The code is of 148.79.
What is a proportion?
A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
A unit rate is given by amount or fraction divided by time. Hence, for item a, it is given as follows:
4/5/(2/7) = 4/5 x 7/2 = 2.8.
They can paint 2.8 pictures in one hour.
For item b, we have that:
328/2.5 = 131.2.
The rate per hour is of 131.2 magazines.
For item c, we have that:
15/17.5 = 0.86.
The unit rate is of 0.86 problems per minute.
For item d, we have that:
185/2 = 92.5.
He can make 92.5 tacos in one hour.
For item e, we have that:
0.75/0.2 = 3.75.
He walks 3.75 miles in one hour.
For the code, the letters are given as follows:
E = 3.75, B = 131.2, D = 92.5, A = 2.8, C = 0.86.
Hence the code is given by:
E(B - D) + (A + C) = 3.75(131.2 - 92.5) + (2.8 + 0.86) = 3.75(38.7) + 3.66 = 145.13 + 3.66 = 148.79.
The code is of 148.79.
More can be learned about proportions at https://brainly.com/question/24372153
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