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2 years ago

Find the slope of each line

Mathematics

2 answers:

OleMash [197]2 years ago

8 0

1) -1/3

2) 3/2

3) 4/-2 = 2/-1 = -2 (all are the same thing)

4) 2/3

PolarNik [594]2 years ago

6 0

1. is -1/3

2. is 3/4

3. i think its 4/3

4. is 2/3

•count rise

•over run

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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]

Answer:

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

Step-by-step explanation:

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

2 years ago

Read 2 more answers

Evaluate -4n^2+ 11 when n= 3

jok3333 [9.3K]

Answer:

Step-by-step explanation:

999

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2 years ago

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Two

sveta [45]

Answer:

Each child should have 1.25 or 1 $\frac{1}{4}$ pizzas.

Step-by-step explanation:

5 ÷ 4 = 1.25

5 0

2 years ago

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Solve for x help thx

valentinak56 [21]

X = 8
because 8 x 2 = 16
16 - 9 = 5
5 x 3 = 15

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2 years ago

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Substitute ×=3in the following equation to find y 5y - 2x=9

Alexxx [7]

Answer:

y=3

Step-by-step explanation:

5y-2(3)=9

5y-6=9

+6 +6

5y=15

/5 /5

y=3

6 0

2 years ago