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3 years ago

Which best describes a fraction?

Mathematics

1 answer:

siniylev [52]3 years ago

8 0

Answer:

4, A fraction is the numerator divided by the denominator.

Step-by-step explanation:

Fractions do not involve multiplying! It is dividing, so we can rule out all the multiplication related questions.

The top number of a fraction is the numerator 2/3.

The bottom number is the denominator 2/3.

The / is a sign of division.

So, 1 is wrong and 4 is right.

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Roberto rowed 20 miles downstream in 2.5 hours. The trip back, however, took him 5 hours. Find the rate that Roberto rows in sti

almond37 [142]

Answer:

Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour

Step-by-step explanation:

Relative Speed

When a body is moving at a constant speed v, the distance traveled in a time t is:

$d=v.t$

When Roberto rows downstream, his speed in still water is added to the speed of the water, making it easier to travel the required distance.

When Roberto rows upstream, his speed in still water is affected by the speed of the water, both are subtracted and the required distance is covered in more time.

Let's call

x = Roberto's rowing speed in still water

y = Speed of the river current

The speed when rowing downstream is x+y, thus the distance traveled is

$d=(x+y).t_1$

Where t1=2.5 hours. Substituting values:

$20=(x+y)*2.5$

Rearranging, we find the downstream equation:

$2.5x+2.5y=20\qquad[1]$

The speed when rowing upstream is x-y, and the distance traveled is

$d=(x-y).t_2$

Where t2=5 hours. Substituting values:

$20=(x-y)*5$

Rearranging, we find the upstream equation:

$5x-5y=20\qquad[2]$

Multiplying [1] by 2:

$5x+5y=40$

Adding this equation to [2]:

$10x=60$

Solving:

$x=60/10=6$

Dividing [2] by 5:

$x-y=4$

Solving for y

$y=x-4=6-4=2$

Thus, Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour

3 0

4 years ago

If you could help I would really appreciate it, but if not that’s fine. Thank you.

dolphi86 [110]

Answer:

Step-by-step explanation:

j(2) means that x equals 2...

the first inequality in the function says that x is greater than or equal to 2

the second inequality states that x is greater than 2(not equal to) and is less than or equal to 5

the third one states that x is greater than 5

x applies to the first inequality since we know that x can be equal to 2

Now, to the number before the if

there is a 3 before the if in the first inequality

This means that if x is greater than or equal to 2 the y or the function would equal 3

therefore, j(2) would equal 3

I hope this helps!!!

6 0

3 years ago

What do symbols represent in algebra?

Inessa05 [86]

Answer:

One of the most common algebraic symbols is the use of x, y or another letter of the alphabet to indicate a variable or unknown quantity. Common symbols used in algebra also include those related to equality, inequality, factorials and organization, like braces, brackets and parentheses.

Give brainiest please ;-;

7 0

3 years ago

Read 2 more answers

Solve log 3x -log 13=2. Round to the nearest thousandth if necessary.

Vikentia [17]

$\bf \textit{Logarithm of rationals}\\\\
log_a\left( \frac{x}{y}\right)\implies log_a(x)-log_a(y)
\\\\\\
\textit{Logarithm Cancellation Rules}\\\\
log_a a^x= x\qquad \qquad \boxed{a^{log_ax}=x}\\\\
-------------------------------\\\\
log(3x)-log(13)=2\implies log_{10}(3x)-log_{10}(13)=2
\\\\\\
log_{10}\left( \frac{3x}{13} \right)=2\implies 10^{log_{10}\left( \frac{3x}{13} \right)}=10^2\implies \cfrac{3x}{13}=2
\\\\\\
3x=26\implies x=\cfrac{26}{3}\implies x=8\frac{2}{3}$