Answer: 60 gallons of the 20% solution and 120 gallons of the 50% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of 20% solution that should be mixed.
Let y represent the number of gallons of 50% solution that should be mixed.
A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. This means that
0.2x + 0.5y = 0.4×180
0.2x + 0.5y = 72- - - - - - - - - - - -1
Since the total number of gallons is 180, it means that
x + y = 180
Substituting x = 180 - y into equation 1, it becomes
0.2(180 - y) + 0.5y = 72
36 - 0.2y + 0.5y = 72
- 0.2y + 0.5y = 72 - 36
0.3y = 36
y = 36/0.3
y = 120
x = 180 - y = 180 - 120
x = 60
Complementary angles are angles that add up to 90 degrees.
Obtuse angles are greater than 90 degrees, so there's no way
to add two of them together and get a sum that's smaller than
either one already is.
The answer to the question is 'No'.
(D) "subjects as diverse as"
"As...as" is the proper construct to employ when comparing items that are equal in some sense, therefore using "as" in this context is inappropriate (which is what happens in the sentence) So, the correct response is D.
Choice (A) uses awkward wording. As demands "such" come before it. Option (B) uses awkward wording. Should read "such as," not "that are." An incorrect idiom is present in Option (C).
It should be "diversity such as," not "such diversity." There is an agreement issue with Option (E) (in number). The various subjects mentioned cannot be referred to as "a subject".
Here's a question with an answer similar to this about improper phrasing: brainly.com/question/15806900
#SPJ4
Answer: -4w+32
Step-by-step explanation: 4*-w + 4*8