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2 years ago

Directions: Evaluate the following combinations and determine the value of the

Mathematics

1 answer:

Andru [333]2 years ago

4 0

Answer:

1. C(9,4) : n=9, s=4

2. C(10,5) : r=5

3. C(5,5) : n=5

4. C(7,7) : n=6

5. C(18,17) : r=3

Step-by-step explanation:

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pls solve quickly!: It took a boat 2 hours to reach town A going upstream. The way back was 1h20 min. What is the speed of the b

goldenfox [79]

Answer:

15 mph

Step-by-step explanation:

Given: Boat took 2 hours to reach Town A going upstream.

Speed of stream= 3 mph

Time taken to reach back home= 1 hours 20 minutes

Lets assume distance covered one side be "d" and speed of boat in still water be "s".

∴ Speed of boat in upstream= $(s-3) \ mph$

Speed of boat in downstream= $(s+3)\ mph$

Also converting into fraction of time taken to reach back home.

Remember; 1 hour= 60 minutes

∴ Time taken to reach back home= $60+20= 80\ minutes$

Converting time given into fraction= $\frac{80\ minutes}{60\ minutes} = \frac{4}{3} \ hours$

hence, Time taken to reach back home is $\frac{4}{3} \ hours$

Now forming equation of boat travelling upstream and downstream, considering distance remain constant.

We know, $Distance= speed \times time$

⇒ $(s-3)\times 2= (s+3)\times \frac{4}{3}$

Using distributive property of multiplication

⇒ $2s-6= \frac{4}{3}s +4$

subtracting both side by $\frac{4}{3} s$

⇒ $2s-\frac{4}{3} s-6= 4$

Adding both side by 6

⇒ $2s-\frac{4}{3} s= 10$

taking LCD as 3

⇒ $\frac{2}{3} s= 10$

Multiplying both side by $\frac{3}{2}$

⇒ $s= \frac{3}{2} \times 10$

∴s= 15 mph

Hence, 15 mph is the speed of the boat in still water.

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3 years ago

What is the mean score Score<br> 90<br> 80<br> 70<br> 60

cupoosta [38]

Answer:

Step-by-step explanation:

Four scores.... add them together and divide by four

(90 + 80 + 70 + 60) / 4 = 75

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2 years ago

On a horizontal number line, numbers are what

Vikentia [17]

Answer:

to the right of zero if postive if negative left

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2 years ago

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The steam and leaf plot list the scores earned by students on a science test

Veseljchak [2.6K]

Answer:

9 students

Step-by-step explanation:

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3 years ago

Lucy's fish tank has 14 liters of water in it. She plans to add 5 liters per minute until the tank has at least 49 liters. What

Vikentia [17]

Answer:

Step-by-step explanation:

14 + 5t > = 49 (thats a greater then or equal sign)

5t > = 49 - 14

5t > = 35

t > = 35/5

t > = 7 <===

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3 years ago