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Elodia [21]
3 years ago
11

The speed of a boat in still water is 40 mph. If it takes the same time for the boat to travel 8 miles upstream as it does to tr

avel 24 miles downstream, then what is the speed of the current? Brainly
Mathematics
1 answer:
antoniya [11.8K]3 years ago
5 0

Answer:

Current speed is 40mph

Step-by-step explanation:

We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.

Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.

In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have

Speed upstream = 8/t

Speed downstream = 24/t

Respectively.

Let speed of current be X, then

Speed downstream = 40 + X

Speed upstream = 40 – X

From the question we have:

(40 + x)/24 = (40 – X)/8

(40 + x)/3 = (40 – x)/1

3(40 – x) = 40 + X

120 – 3x = 40 – X

120 – 40 = 3x – X

2x = 80

X = 40.

Therefore, current speed is 40mph

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<h2>k > 4.4</h2>

Step-by-step explanation:

5k>22\qquad\text{divide both sides by 5}\\\\\dfrac{5k}{5}>\dfrac{22}{5}\\\\k>4\dfrac{2}{5}\to k>4.4\to k\in(4.4,\ \infty)

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4 0
2 years ago
2. Kerry has a $1,973-per-month mortgage payment. He decides to refinance his $204,000 balance at 5% over 20 years. What's his n
klemol [59]

The formula for the amount of a monthly payment A on principal amount P at interest rate i loaned for t years is given by

... A = P(i/12)/(1 -(1 +i/12)^(-12t))

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5 0
3 years ago
48=3 times 2 to the power of a 56=7 times 2 to the power of bWhat are the values of a and b?a= b=
Digiron [165]

9514 1404 393

Answer:

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Step-by-step explanation:

From your knowledge of multiplication tables, you know ...

  48 = 6·8 = 3·2·2·2·2 = 3·2^4 . . . . a = 4

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8 0
2 years ago
Ross needs to have a procedure done, and since he is over 65 he is on Medicare. Medicare says that according to their plan the a
Anni [7]

Answer:

\large \boxed{\$1200.00}

Step-by-step explanation:

              Let the office charge  = x

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Solve for x

\begin{array}{rcrl}\dfrac{1}{4} \left(\dfrac{7}{8}x \right ) & = & \$262.50 & \\\dfrac{7}{32}x & = & \$262.50 & \text{Multiplied the fractions}\\\\7x & = & \$8400.00 & \text{Multiplied each side by 32}\\x & = & \mathbf{\$1200.00} & \text{Divided each side by 7}\\\end{array}\\\text{The office wanted to charge } \large \boxed{\mathbf{\$1200.00}}

Check:

\begin{array}{rcl}\dfrac{1}{4} \left(\dfrac{7}{8}\times \$1200.00 \right ) & = & \$262.50\\\\\dfrac{1}{4} \left(\$1050.00 \right ) & = & \$262.50\\\\\$262.50 & = & \$262.50\\\end{array}

OK.

7 0
3 years ago
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