The rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
<h3>What is a quadratic equation?</h3>
Any equation of the form Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
Let's suppose the rate of the current = r
The time it takes to go downstream + 4 hours = time to go upstream
As we know the:
Now,
After solving:
After cross multiplication
44(8+r) - 44(8-r) = 3(8+r)(8-r)
88r = 3(64 - r²)
3r² + 88r - 192 = 0
After solving the above quadratic equation, we get:
r = 2.03 or
r=−31.37 (reject as it is negative)
So, the r =2.03 mph
Thus, the rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
Learn more about quadratic equations here:
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Answer:
36 and 63
Step-by-step explanation:
They are the answers because a integer is a rational and whole number so fractions and decimals aren't integers. 36 and 63 are whole numbers so therefore they are integers.
Answer:
b-5
Step-by-step explanation:
because you are using the coupon which means to subtract since you are saving $ 5 from b dollars
Thank you for posting your question here. Among the choice provided above the the factors of 27x3 512y3 is <span>9x2 − 24xy + 64y2. Factoring is finding what to multiply together to get an expression, it is somewhat the sames with splitting an expression into a multiplication of simpler expression.</span>
The answer is
77 inches = 6 feet 5 inches