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Roman55 [17]
3 years ago
15

Math please help me with it

Mathematics
1 answer:
seropon [69]3 years ago
4 0
I hope this helps you

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A boat travels 33 miles downstream in 4 hours. The return trip takes the boat 7 hours. Find the speed of the boat in still water
Paha777 [63]

<u>Answer:</u>

Speed of the boat in still water = 6.125 miles/hour

<u>Step-by-step explanation:</u>

We are given that a boat travels 33 miles downstream in 4 hours and the return trip takes the boat 7 hours.

We are to find the speed of the boat in the still water.

Assuming S_b to be the speed of the boat in still water and S_w to be the speed of the water.

The speeds of the boat add up when the boat and water travel in the same direction.

Speed = \frac{distance}{time}

S_b+S_w=\frac{d}{t_1}=\frac{33 miles}{4 hours}

And the speed of the water is subtracted from the speed of the boat when the boat is moving upstream.

S_b-S_w=\frac{d}{t_2}=\frac{33 miles}{7 hours}

Adding the two equations to get:

   S_b+S_w=\frac{d}{t_1}

+  S_b-S_w=\frac{d}{t_2}

___________________________

2S_b=\frac{d}{t_1} +\frac{d}{t_2}

Solving this equation for S_b and substituting the given values for d,t_1, t_2:

S_b=\frac{(t_1+t_2)d}{2t_1t_2}

S_b=\frac{(4 hour + 7hour)33 mi}{2(4hour)(7hour)}

S_b=\frac{(11 hour)(33mi)}{56hour^2}

S_b=6.125 mi/hr

Therefore, the speed of the boat in still water is 6.125 miles/hour.

6 0
3 years ago
Read 2 more answers
Select the all numbers below which are rational numbers.
AfilCa [17]

-76

10.030030030030030...

0.625

18.310

square root 0.25

5/9

8 0
3 years ago
Read 2 more answers
If a man making $22 an hour gets a 20% raise, she will make an additional 1/10 of her salary an hour.
MariettaO [177]

Answer:

True

Step-by-step explanation:

If this is a true or false question it is true.

22 x 20% = 2.2

22 ÷ 10 = 2.2

Hope this helps!

3 0
2 years ago
4 + 3(x + 5) hhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllllllllllllppppppppppppppppppppppppppppppppppppp
zysi [14]

Answer:

3x+19

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
GIVING BRAINIEST IF CORRECT!!<br><br> Factor x^4 - 16 completely
ioda

Answer:

(x^2 + 4)(x + 2)(x - 2)

Step-by-step explanation:

Hello!

We can use the difference of square method.

<h2>Difference Of Squares (DOS)</h2>

The formula for the DOS is (a + b)(a - b) = a^2 - b^2

It is a simple way to factor polynomials.

The criteria:

  • Has to begin and end with a perfect square
  • The operation has to be subtraction

<h3>Factor:</h3>
  • x^4 - 16

Begins with a perfect square (x² * x²) and ends with a perfect square (4 * 4)

  • (x^2 + 4)(x^2 - 4)

Warning! Watch out, there may be another DOS!

x^2 - 4 is another DOS

  • (x^2 + 4)(x + 2)(x - 2)

The x² + 4 is not a DOS because the operation is addition.

The final factored form is (x^2 + 4)(x + 2)(x - 2)

8 0
2 years ago
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