We must follow "PEMDAS" rules for "order of operations."
Multiplication and division must be done before addition and subtraction:
40q = p + (p/3) + (p/9) + p/27
The LCD of this expression is 27. 1, 3 and 9 all divide evenly into 27. The equation thus becomes:
27(40q) = 27p + 9p + 3p + p
Adding up the four "p" terms, we get 40p. Then 27(40q) = 40p.
Simplifying thru division by 40, 27q = p. Alternatively, p = 27q.
Find the ratio of p to q by dividing both sides by q: (p/q) = 27 (answer)
Answer:
The salt concentration of the mixed solution = 10%
Step-by-step explanation:
First assuming that the concentration of salt given is on a vol% basis.
First solution has 0.7 gallon of 5% salt
Amount of salt in this solution = 5% × 0.7 = 0.035 gallon
Second solution has 0.3 gallon of 22% salt
Amount of salt in this solution = 22% × 0.3 = 0.066 gallon
Total amount of salt in the resulting solution = 0.035 + 0.066 = 0.101 gallon
Total volume of the resulting solution = 0.7 + 0.3 = 1.00 gallon
Concentration of the mixture of salt = (0.101/1) = 0.101 = 10.1% = 10% to the nearest percent
Hope this Helps!!!
-13/5. The equation to find the slope between 2 points is y sub 2-y sub 1/x sub 2-x sub 1. Or in this case, -6-7/2+3. -6-7=-13, 2+3=5. So the slope is -13/5.
