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Maurinko [17]
2 years ago
13

The speed of a stream is 2 mph. A boat travels 20 miles upstream in the same time it takes to travel 40 miles downstream. What i

s the speed of the boat in still water?
The speed of the boat in still water is mph.
(Simplify your answer. Type an integer or a decimal.)

Mathematics
1 answer:
nataly862011 [7]2 years ago
5 0

Answer:

<em>The speed of a boat in still water is 6 miles per hour. </em>

Step-by-step explanation:

t = \frac{20}{s-2}  (upstream)

t = \frac{40}{s+2}  (downstream)

\frac{20}{s-2} = \frac{40}{s+2}

40 ( s - 2 ) = 20 ( s + 2 )

40s - 80 = 20s + 40

20s = 120

s = 6 mi / h

<em>The speed of a boat in still water is 6 miles per hour.</em>

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Translate to an algebraic statement.<br> "The quotient of twice a number and 7 is 20."
Genrish500 [490]

<u>Answer:</u>

  • Translation: 2x/7 = 20

<u>Step-by-step explanation:</u>

  • <em>When we listen to the word "quotient", it means the solution to a division problem. </em>
  • <em>An unknown number that has been multiplied by 2 is in the numerator because it came before the 7 in the statement. </em>
  • <em>The number "7" is in the denominator because it came after the 2x in the statement. </em>
  • <em>The word "is" represents an equal sign.</em>
  • <em>The solution to the division problem (quotient) is 20. </em>

<u><em>If we put these clues together, we get 2x/7 = 20 as our translated equation.</em></u>

<u>Hence, our algebraic statement is 2x/7 = 20. The key is to listen to the statement. </u>

BrainiacUser1357

4 0
2 years ago
Three vertices of parallelogram ABCD are A(2,-6),B(-1,2),C(5,3).find the coordinates of vertex D
salantis [7]

Check the first picture below.


for a parallelogram, it has to have two pairs of parallel sides, so BC || AD and AB || CD.

if two lines are parallel, they have the same slope, namely the <u>same rise and run</u>.

notice, the line BC has a run of 6 and a rise of 1, <u>arrows in red</u>, therefore, AD must also have a run of 6 and a rise of 1, so if we move from A 6 units over and 1 up, we'd end up at point D.


now, for part atop

Check the 2nd picture, in a parallelogram, opposite sides are parallel and opposite angles are equal, so if WLP is 144°, then PNW is also 144°.

in a parallelogram, diagonals bisect each other, so each cut the other in halves, so if PM is 9 then MW is also 9 and thus PW is just 9+9=18.


now, about QRST.

notice what we said about a parallelogram above, thus


\bf 8x+13=11x-23\implies 8x+36=11x\implies 36=3x \\\\\\ \cfrac{36}{3}=x\implies \boxed{12=x} \\\\[-0.35em] ~\dotfill\\\\ 2y+12=4y-4\implies 2y+16=4y\implies 16=2y \\\\\\ \cfrac{16}{2}=y\implies \boxed{8=y}


so then TQ ==> 2(8) + 12 ==> 16 + 12 ==> 28.

∡Q ==> 8(12) + 13 ==> 96 + 13 ==> 109°.

and since in a parallelogram, adjacent interior angles add up to 180°, then ∡Q + ∡T = 180°.

∡T ==> 180 - 109 ==> 71°.

3 0
3 years ago
A tv programme begins at 7:45 and ends 50 minutes later what time does it finish
faust18 [17]

Answer:

8:35

Step-by-step explanation:

7:45 + 50minutes=

8:35

7 0
3 years ago
Read 2 more answers
Help please!!!!!!!!!!!!! Explain if possible
iris [78.8K]
Answer is C.
For every option, sub in the value and find the answer that matches the equation!

Example for option A, F(x) = x + 4 and G(x) = x²
G(F(x)) = G(x + 4) ーー> sub in the value of F(x)
Let's take the subbed in value, (x + 4) as x, and this x will be the x for G(x).

∴ Since G(x) is x²
G(x + 4) = (x + 4)² ーー> remember (x + 4) is represented as x.
= x² + 16
∴ You know that the answer is not A, do this for all options and you'll find the answer, C!

4 0
3 years ago
(2x + 3y) + (4x - 3y) = 11+(-5)
Maurinko [17]

Answer:

The correct option should have been 6x=6.

Step-by-step explanation:

Given the expression

\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)

solving the expression

\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)

Remove parentheses:  (a) = a

2x+3y+4x-3y=11-5

Group like terms

3y-3y+2x+4x=11-5

Add similar elements

6x=6

It is clear that not a single given option is 6x=6. It means no option is correct. It seems you mistyped the correct options.

The correct option should have been 6x=6.

3 0
2 years ago
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