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alisha [4.7K]
3 years ago
6

It takes three hours for a boat to go 18 miles downstream, and nine hours to return. What is the rate of the boat in calm water

and the rate of the current?​
Mathematics
1 answer:
vampirchik [111]3 years ago
5 0

Step-by-step explanation:

Distance = rate × time

If B is the rate of the boat, and C is the rate of the current, then we can write two equations:

18 = (B + C) × 3

18 = (B − C) × 9

Simplifying the equations:

6 = B + C

2 = B − C

Add the equations together to eliminate C:

8 = 2B

B = 4

Plug into either equation to find C:

C = 2

The boat's rate is 4 mph, and the current's rate is 2 mph.

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T=3n-1 what is the 6th term
3241004551 [841]
Plug in 1 for n and solve, then plug in 2, and so on until you get to 3(6)-1=17
6 0
3 years ago
Read 2 more answers
I need help with the incorrect ones please
Morgarella [4.7K]

Answer:

73.6

61.824

.2776

2.3

1.342

.4129

*note* I had trouble reading the standard deviation of the second part, so if it's not 3 then leave a comment and i will fix it*

Step-by-step explanation:

1.)

the mean would be something like 460*.16= 73.6

The variance should be 460*.16(1-.16)= 61.824 which means the standard deviation is √61.824= 7.863

for p to be less than .15 it would have to be less than .15*460= 69

(69-73.6)/7.863= -.59 which has a probability of .2776

2.)

the mean is 2.3

I am not sure if the standard deviation is 3 or .3 (picture is kind of blurry)

I am thinking that it's three which would mean that the standard deviation would be √(3²*(1/5))= 1.342

(2-2.3)/1.342= -.22 = .4129

5 0
2 years ago
The point U (-2,0) is translated 1 unit up. What are the coordinates of the resulting point, U’?
MrRissso [65]

Answer:

Point U' (-2, 1)

Step-by-step explanation:

When moving up and down on a graph, this affects the y coordinate only.

Since it is moving up 1 unit, we have to add 1 to the y coordinate. So U' will end up being (-2, 1).

4 0
3 years ago
Read 2 more answers
A company uses the declining-balance method of calculating depreciation expense. On January 1, the company buys machinery for $7
NeX [460]

Answer:

$516,000

Step-by-step explanation:

Given:

- Beginning boo value of asset A = $750,000

- The salvage value of the asset B = $100,000

- The estimated life of asset t = 10 years

Find:

What is the book value in year 3?

Solution:

- Under the declining balance method, double declining method depreciation rate (R) is calculated by:

                                  R = 1 / t

                                  R = 1 / 10 = 10%

- The accumulated depreciation for 3 years is as follows:

                                 Depreciation: ( A - B ) * R * 2

                 Year 1:     DDB = ( 750,000 - 100,000 ) * 0.2 = $130,000

                 Year 2:    DDB = ( 620,000 - 100,000)*0.2 = $104,000

- The book value in year 3 is:

                                 $ 620,000 - $104,200 = $516,000

                                             

                                   

7 0
3 years ago
Which techniques can be used to evaluate the expression 12.75 = 1.5? Select all that apply.
n200080 [17]
What is the apply??? Put all of the select all that apply so I can help you
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3 years ago
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