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3 years ago

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Alex is on a boat going to an island twelve miles away for a picnic. The way there, with the current, it takes her 3 hours while

the way back, against the current, it takes her 4 hours. What is the speed of her boat and what is the speed of the current?

1 answer:

bija089 [108]3 years ago

8 0

Answer:

the boat is going at 3.5 mph and the current is going at .5 mph

Step-by-step explanation:

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Hi- I need help please to get my HS diploma...did not graduate :(

andrew-mc [135]

The remainder from the division of the algebraic equation is -53/8.

<h3>What is the remainder of the algebraic expression?</h3>

The remainder of the algebraic expression can be determined by using the long division method.

Given that:
$\mathbf{f(x) = \dfrac{x^3 - 6x^2 + 3x - 1}{2x-3}}$

where:

The divisor = 2x -3

Using the long division method, we have:

$\mathbf{= \dfrac{x^2}{2} +\dfrac{-\dfrac{9x^2}{2}+3x -1 }{2x-3}}$

$\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} +\dfrac{-\dfrac{-15x}{4}-1 }{2x-3}}$

$\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}+\dfrac{-\dfrac{53}{8} }{2x-3}}$

$\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}-\dfrac{53 }{8(2x-3)}}$

Therefore, we can conclude that the remainder is -53/8.

Learn more about the division of algebraic equations here:

brainly.com/question/4541471

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8 0

2 years ago

Picture attached help plssss

kramer

Answer:

32

Step-by-step explanation:

7 0

3 years ago

Are these fractions equivalent or nonequivalent?<br> 4x/7y 8x/14y

ivann1987 [24]

Answer:

$\frac{8x}{14y} = \frac{ \frac{8x}{2} }{ \frac{14y}{2} } = \frac{4x}{7y} \\$

Hence, they are equivalent.

6 0

3 years ago

Add the following polynomials, then place the answer in the proper location on the grid.

aivan3 [116]

Answer:

$x^3 - 6x + 2$

Step-by-step explanation:

The given polynomials can be added together by adding like terms together as shown below:

=> Add together, the coefficient of all terms that have the power of 3.

$(2x^3) + (x^3) + (-3x^3)$

$2x^3 + x^3 - 3x^3$

$3x^3 - 3x^3$

$x^3$

=> $(-4x^2) + (6x^2) + (2x^2)$

$-4x^2 + 8x^2$

$4x^2$

=> $(6x) + (-8x) + (-4x)$

$6x - 8x - 4x$

$-6x$

=> $(-3) + (12) +(-7)$

$-3 + 12 - 7$

$2$

The answer = $x^3 - 6x + 2$

5 0

3 years ago

Which expression is equivalent to 2x - 10y + 9y - 11x ?

elena-s [515]

Answer:

-9x - y

Step-by-step explanation:

Combine like terms. That is, combine all the x terms and then, separately, combine all the y terms.

2x - 10y + 9y - 11x = -9x - y (answer)

3 0

3 years ago