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
4500 feet
Step-by-step explanation:
We can begin by finding x using the tangent rule;
The tangent of the angle = the length of the opposite side / the length of the adjacent side
Tan 35 = 3500 / x
X = 3500 / tan 35
X = 3500 / 0.7
X = 5000
Now that we have x we can calculate the value of ? using the same tangent rule;
Tan 42 = ? / 5000
? = tan42 * 5000
? = 0.9 * 5000
? = 4500
Learn More:
For more on trigonometry check out;
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the answer is A ;
sin = opposite/ hypotenuse
= 24/ 26 ( we need to simplify it)
= 12/13
Answer:
62%
Step-by-step explanation:
31/50 is also equal to 62/100 (if we multiply the numerator and denominator by 2). 62/100 is 62%.
N= a number
2n= twice a number
If it's 43 less, then it would be 2n-43.
2n-43 is the answer.
Hope this helps! :)
