Answer:
114.31 nautical miles per day
Step-by-step explanation:
Use formula
where S is the distance, t is time and v is rate.
If S=11431 nautical miles and t=100 days, then
Add the exponents if the bases are the same, multiply the bases if the exponents are the same, if nothing is the same just solve it.
C) (0.85 + x/100)(250+145) does not give the correct answer.
Explanation
A) works; adding the two costs together is 250+145=395. We multiply this by 0.85 because 100%-15%=85%=0.85. We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00. Altogether this gives us
395(0.85)(1+x/100) = 395(0.85 + (0.85x/100)) = 395(0.85) + 395(0.85x/100)
= 395(0.85) + 395(0.0085x)
B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%. This will simplify out to
0.85*395 + (x/100)(395) = 335.75 + 395x/100 = 335.75 + 3.95x, which is too much.
D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
Step-by-step explanation:
Ratio of length to width = 7 : 4
length = 7x
width = 4x
7x + 4x = 11x
length = 880
width = 4x
= 4(125.71)
= 502.85
