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Elina [12.6K]
2 years ago
8

4. A river tour boat is going down a stream to a park for lunch and then back up. It is a 60-mile round trip. On

Mathematics
1 answer:
DiKsa [7]2 years ago
3 0

Answer:

The speed of the boat in still water is 10 miles / hour

Step-by-step explanation:

The trip there, and the trip back are the same -- 30 miles

Let the rate of the boat = x

Let the rate of the water = y

30 = 2*(x + y)

30 = 6*(x - y)

Divide the top equation by 2

Divide the bottom equation by 6

15 = x + y

<u>5  = x - y   </u>            Add the equations together.

20 = 2x                 Divide by 2

20/2 = x

x = 10

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Thepotemich [5.8K]

Answer:

D' (-4,-2)

E' (-1,2)

F' (2,-4)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x.
aliina [53]

Answer:

F(4) = \frac {1}{256}

Step-by-step explanation:

Given the following mathematical function;

F(x) = \frac {1}{4^{x}}

<u>When x = 1</u>

F(1) = \frac {1}{4^{1}}

F(1) = \frac {1}{4}

<u>When x = 2</u>

F(2) = \frac {1}{4^{2}}

F(2) = \frac {1}{4*4}

F(2) = \frac {1}{16}

<u>When x = 3</u>

F(3) = \frac {1}{4^{3}}

F(3) = \frac {1}{4*4*4}

F(3) = \frac {1}{4*4*4}

<u>When x = 4</u>

F(4) = \frac {1}{4^{4}}

F(4) = \frac {1}{4*4*4*4}

F(4) = \frac {1}{256}

<u>When x = 5</u>

F(5) = \frac {1}{4^{5}}

F(5) = \frac {1}{4*4*4*4*4}

F(5) = \frac {1}{1024}

8 0
2 years ago
the first term of an arithmetic sequence is 3000 and the tenth term is 1200. the sum of the first 20 terms of the sequence
Kruka [31]

Step-by-step explanation:

B

1100

To find the sum of the first n terms of an arithmetic series use the formula,

S

n

=

2

n(a

1

+a

n

)

S

20

=

2

20(10+100)

S

20

=

2

2200

S

20

=1100

8 0
2 years ago
Which angles are pairs of corresponding angles? Check all that apply.
nevsk [136]

Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.

hope it helps!!

7 0
3 years ago
Sunny earns $12
Nataly [62]

Answer:

12x-15

Step-by-step explanation:

Let

x ---> total hours worked this week

we know that

To find out how much money Sunny earned this week , multiply the total hours worked by the rate of $12 per hour and subtract $15 for a late delivery

so

12x-15

6 0
3 years ago
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