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Crazy boy [7]
3 years ago
8

A motorboat travels 102 miles in 3 hours going upstream. It travels 186 miles going downstream in the same amount of

Mathematics
1 answer:
lozanna [386]3 years ago
7 0

Answer:

Rate in still water = 48 mph.

Rate of current = 14 mph.

Step-by-step explanation:

Let the rate in still water be x and rate of the current be y miles per hour.

Upstream:

x - y = 102/3

Downstream:

x + y = 186/3

Adding the 2 equations

2x = 102/3 + 186/3 = 34 + 62

2x = 96

x = 48 mph.

So 48 - y = 34

y = 48 - 34 = 14 mph.

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Which is a simplified form of the expression 2(2j + 3) – 3j? A. -j + 3 B. 2j + 3 C. j + 6 D. -j + 6
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Answer:

C. j + 6

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Read 2 more answers
Determine f (x) = (x + 1)(x - 3)(x - 4)
Anna [14]

Answer:

Step-by-step explanation:

(x+1)(x−3)(x−4)

=((x+1)(x−3))(x+−4)

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4 years ago
Ginny factored 6x2 – 31x – 30 as shown: ac = –180 and b = 31 36(–5) = –180 and 36 + (–5) = 31 6x2 + 36x – 5x – 30 6x(x + 6) – 5(
meriva

Answer:

Ginny made a mistake in step 1 when she identified b = 31. It should be b=-31

Step-by-step explanation:

Ginny factored 6x^2 -31x -30 as shown:

ac = –180 and

b = 31

36(–5) = –180 and 36 + (–5) = 31

6x^2 + 36x – 5x – 30

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(x + 6)(6x – 5)

b is the coefficient of x and from the trinomial 6x^2 -31x -30, b=-31.

Therefore Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.

The correct steps are: 6x^2 -31x -30:

ac = –180 and

b = -31

36(–5) = –180 and -36+5 = -31

6x^2-36x +5x -30  

6x(x-6)+5(x-6)

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